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Kawasaki S, Tsukuda N, Lin C, Zheng GQ. Strain-induced long-range charge-density wave order in the optimally doped Bi 2Sr 2-xLa xCuO 6 superconductor. Nat Commun 2024; 15:5082. [PMID: 38877031 PMCID: PMC11178839 DOI: 10.1038/s41467-024-49225-w] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/21/2023] [Accepted: 05/23/2024] [Indexed: 06/16/2024] Open
Abstract
The mechanism of high-temperature superconductivity in copper oxides (cuprate) remains elusive, with the pseudogap phase considered a potential factor. Recent attention has focused on a long-range symmetry-broken charge-density wave (CDW) order in the underdoped regime, induced by strong magnetic fields. Here by 63,65Cu-nuclear magnetic resonance, we report the discovery of a long-range CDW order in the optimally doped Bi2Sr2-xLaxCuO6 superconductor, induced by in-plane strain exceeding ∣ε∣ = 0.15 %, which deliberately breaks the crystal symmetry of the CuO2 plane. We find that compressive/tensile strains reduce superconductivity but enhance CDW, leaving superconductivity to coexist with CDW. The findings show that a long-range CDW order is an underlying hidden order in the pseudogap state, not limited to the underdoped regime, becoming apparent under strain. Our result sheds light on the intertwining of various orders in the cuprates.
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Affiliation(s)
| | - Nao Tsukuda
- Department of Physics, Okayama University, Okayama, Japan
| | - Chengtian Lin
- Max-Planck-Institut fur Festkorperforschung, Stuttgart, Germany
| | - Guo-Qing Zheng
- Department of Physics, Okayama University, Okayama, Japan.
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2
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Choi J, Li J, Nag A, Pelliciari J, Robarts H, Tam CC, Walters A, Agrestini S, García-Fernández M, Song D, Eisaki H, Johnston S, Comin R, Ding H, Zhou KJ. Universal Stripe Symmetry of Short-Range Charge Density Waves in Cuprate Superconductors. ADVANCED MATERIALS (DEERFIELD BEACH, FLA.) 2024; 36:e2307515. [PMID: 37830432 DOI: 10.1002/adma.202307515] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/27/2023] [Revised: 09/22/2023] [Indexed: 10/14/2023]
Abstract
The omnipresence of charge density waves (CDWs) across almost all cuprate families underpins a common organizing principle. However, a longstanding debate of whether its spatial symmetry is stripe or checkerboard remains unresolved. While CDWs in lanthanum- and yttrium-based cuprates possess a stripe symmetry, distinguishing these two scenarios is challenging for the short-range CDW in bismuth-based cuprates. Here, high-resolution resonant inelastic x-ray scattering is employed to uncover the spatial symmetry of the CDW in Bi2 Sr2 - x Lax CuO6 + δ . Across a wide range of doping and temperature, anisotropic CDW peaks with elliptical shapes are found in reciprocal space. Based on Fourier transform analysis of real-space models, the results are interpreted as evidence of unidirectional charge stripes, hosted by mutually 90°-rotated anisotropic domains. This work paves the way for a unified symmetry and microscopic description of CDW order in cuprates.
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Affiliation(s)
- Jaewon Choi
- Diamond Light Source, Harwell Campus, Didcot, Oxfordshire, OX11 0DE, UK
| | - Jiemin Li
- Diamond Light Source, Harwell Campus, Didcot, Oxfordshire, OX11 0DE, UK
- Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Science, Beijing, 100190, China
| | - Abhishek Nag
- Diamond Light Source, Harwell Campus, Didcot, Oxfordshire, OX11 0DE, UK
| | - Jonathan Pelliciari
- Department of Physics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
- National Synchrotron Light Source II, Brookhaven National Laboratory, Upton, NY, 11973, USA
| | - Hannah Robarts
- Diamond Light Source, Harwell Campus, Didcot, Oxfordshire, OX11 0DE, UK
- H. H. Wills Physics Laboratory, University of Bristol, Bristol, BS8 1TL, UK
| | - Charles C Tam
- Diamond Light Source, Harwell Campus, Didcot, Oxfordshire, OX11 0DE, UK
- H. H. Wills Physics Laboratory, University of Bristol, Bristol, BS8 1TL, UK
| | - Andrew Walters
- Diamond Light Source, Harwell Campus, Didcot, Oxfordshire, OX11 0DE, UK
| | - Stefano Agrestini
- Diamond Light Source, Harwell Campus, Didcot, Oxfordshire, OX11 0DE, UK
| | | | - Dongjoon Song
- National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba, Ibaraki, 305-8560, Japan
- Stewart Blusson Quantum Matter Institute, University of British Columbia, Vancouver, BC V6T 1Z4, Canada
| | - Hiroshi Eisaki
- National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba, Ibaraki, 305-8560, Japan
| | - Steve Johnston
- Department of Physics and Astronomy, The University of Tennessee, Knoxville, TN, 37996, USA
- Institute for Advanced Materials and Manufacturing, The University of Tennessee, Knoxville, TN, 37996, USA
| | - Riccardo Comin
- Department of Physics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
| | - Hong Ding
- Beijing National Laboratory for Condensed Matter Physics and Institute of Physics, Chinese Academy of Science, Beijing, 100190, China
- Tsung-Dao Lee Institute & School of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai, 200240, China
- CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing, 100190, China
| | - Ke-Jin Zhou
- Diamond Light Source, Harwell Campus, Didcot, Oxfordshire, OX11 0DE, UK
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3
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Song CL, Main EJ, Simmons F, Liu S, Phillabaum B, Dahmen KA, Hudson EW, Hoffman JE, Carlson EW. Critical nematic correlations throughout the superconducting doping range in Bi 2-zPb zSr 2-yLa yCuO 6+x. Nat Commun 2023; 14:2622. [PMID: 37147296 PMCID: PMC10162959 DOI: 10.1038/s41467-023-38249-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/02/2022] [Accepted: 04/17/2023] [Indexed: 05/07/2023] Open
Abstract
Charge modulations have been widely observed in cuprates, suggesting their centrality for understanding the high-Tc superconductivity in these materials. However, the dimensionality of these modulations remains controversial, including whether their wavevector is unidirectional or bidirectional, and also whether they extend seamlessly from the surface of the material into the bulk. Material disorder presents severe challenges to understanding the charge modulations through bulk scattering techniques. We use a local technique, scanning tunneling microscopy, to image the static charge modulations on Bi2-zPbzSr2-yLayCuO6+x. The ratio of the phase correlation length ξCDW to the orientation correlation length ξorient points to unidirectional charge modulations. By computing new critical exponents at free surfaces including that of the pair connectivity correlation function, we show that these locally 1D charge modulations are actually a bulk effect resulting from classical 3D criticality of the random field Ising model throughout the entire superconducting doping range.
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Affiliation(s)
- Can-Li Song
- Department of Physics, Harvard University, Cambridge, MA, 02138, USA
| | - Elizabeth J Main
- Department of Physics, Harvard University, Cambridge, MA, 02138, USA
| | - Forrest Simmons
- Department of Physics and Astronomy, Purdue University, West Lafayette, IN, 47907, USA
- Purdue Quantum Science and Engineering Institute, West Lafayette, IN, 47907, USA
| | - Shuo Liu
- Department of Physics and Astronomy, Purdue University, West Lafayette, IN, 47907, USA
| | - Benjamin Phillabaum
- Department of Physics and Astronomy, Purdue University, West Lafayette, IN, 47907, USA
| | - Karin A Dahmen
- Department of Physics, University of Illinois, Urbana-Champaign, IL, 61801, USA
| | - Eric W Hudson
- Department of Physics, The Pennsylvania State University, University Park, PA, 16802, USA
| | | | - Erica W Carlson
- Department of Physics and Astronomy, Purdue University, West Lafayette, IN, 47907, USA.
- Purdue Quantum Science and Engineering Institute, West Lafayette, IN, 47907, USA.
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4
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Jang BG, Kim M, Lee SH, Yang W, Jhi SH, Son YW. Intersite Coulomb Interactions in Charge-Ordered Systems. PHYSICAL REVIEW LETTERS 2023; 130:136401. [PMID: 37067310 DOI: 10.1103/physrevlett.130.136401] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/05/2022] [Revised: 08/17/2022] [Accepted: 03/16/2023] [Indexed: 06/19/2023]
Abstract
Using ab initio approaches for extended Hubbard interactions coupled to phonons, we reveal that the intersite Coulomb interaction plays important roles in determining various distinctive phases of the paradigmatic charge-ordered materials of Ba_{1-x}K_{x}AO_{3} (A=Bi and Sb). We demonstrated that all their salient doping dependent experiment features such as breathing instabilities, anomalous phonon dispersions, and transition between charge-density wave and superconducting states can be accounted for very well if self-consistently obtained nearest neighbor Hubbard interactions are included, thus establishing a minimal criterion for reliable descriptions of spontaneous charge orders in solids.
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Affiliation(s)
- Bo Gyu Jang
- Korea Institute for Advanced Study, Seoul 02455, Republic of Korea
| | - Minjae Kim
- Korea Institute for Advanced Study, Seoul 02455, Republic of Korea
| | - Sang-Hoon Lee
- Korea Institute for Advanced Study, Seoul 02455, Republic of Korea
| | - Wooil Yang
- Korea Institute for Advanced Study, Seoul 02455, Republic of Korea
- Department of Physics, Pohang University of Science and Technology, Pohang 37673, Republic of Korea
| | - Seung-Hoon Jhi
- Department of Physics, Pohang University of Science and Technology, Pohang 37673, Republic of Korea
| | - Young-Woo Son
- Korea Institute for Advanced Study, Seoul 02455, Republic of Korea
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5
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Oxidation of Alcohols into Carbonyl Compounds Using a CuO@GO Nano Catalyst in Oxygen Atmospheres. Catalysts 2022. [DOI: 10.3390/catal13010055] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/29/2022] Open
Abstract
In this article, the oxidation of alcohols into carbonyl compounds was studied in oxygen atmospheres using a copper oxide on graphene oxide (CuO@GO) nano composites catalyst, synthesized by the wet chemistry method. CuO@GO nano composites were prepared from GO, and CuO NPs by the sol-gel method. The transformation of aromatic alcohols into corresponding carbonyl compounds in good-to-high yields were observed using the CuO@GO catalyst under an oxygen atmosphere. Synthesized CuO@GO was confirmed by FT-IR, XRD, XPS, TEM, FE-SEM, TEM, and SEM analyses, and revealed intercalation of CuO-NPs on/in GO nano sheets through the chelation of Cu+2 ions with CO, COOH, and OH groups presenting on the GO nano sheets. The catalytic activity of CuO@GO nano composites for the conversion of alcohols into carbonyl compounds were evaluated through TOF (2.56 × 10−3 mol g−1 min−1). The use of CuO@GO has shown catalytic activity and recyclability with a high conversion of alcohols to ketones. We assume that the proposed CuO@GO catalyst can be used for other key organic transformations and will be evaluated in the future.
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6
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Stabilization of three-dimensional charge order through interplanar orbital hybridization in Pr xY 1-xBa 2Cu 3O 6+δ. Nat Commun 2022; 13:6197. [PMID: 36261435 PMCID: PMC9581994 DOI: 10.1038/s41467-022-33607-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/28/2022] [Accepted: 09/23/2022] [Indexed: 11/09/2022] Open
Abstract
The shape of 3d-orbitals often governs the electronic and magnetic properties of correlated transition metal oxides. In the superconducting cuprates, the planar confinement of the \documentclass[12pt]{minimal}
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\begin{document}$${d}_{{x}^{2}-{y}^{2}}$$\end{document}dx2−y2 orbital dictates the two-dimensional nature of the unconventional superconductivity and a competing charge order. Achieving orbital-specific control of the electronic structure to allow coupling pathways across adjacent planes would enable direct assessment of the role of dimensionality in the intertwined orders. Using Cu L3 and Pr M5 resonant x-ray scattering and first-principles calculations, we report a highly correlated three-dimensional charge order in Pr-substituted YBa2Cu3O7, where the Pr f-electrons create a direct orbital bridge between CuO2 planes. With this we demonstrate that interplanar orbital engineering can be used to surgically control electronic phases in correlated oxides and other layered materials. External perturbations can induce 3D charge order in cuprates, but the 3D correlation length is limited and the mechanism is not well understood. Ruiz et al. show that Pr substitution in YBa2Cu3O7 enhances interplanar orbital coupling and stabilizes coherent 3D charge order that coexists with superconductivity.
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7
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Dong T, Zhang SJ, Wang NL. Recent Development of Ultrafast Optical Characterizations for Quantum Materials. ADVANCED MATERIALS (DEERFIELD BEACH, FLA.) 2022:e2110068. [PMID: 35853841 DOI: 10.1002/adma.202110068] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/10/2021] [Revised: 06/09/2022] [Indexed: 06/15/2023]
Abstract
The advent of intense ultrashort optical pulses spanning a frequency range from terahertz to the visible has opened a new era in the experimental investigation and manipulation of quantum materials. The generation of strong optical field in an ultrashort time scale enables the steering of quantum materials nonadiabatically, inducing novel phenomenon or creating new phases which may not have an equilibrium counterpart. Ultrafast time-resolved optical techniques have provided rich information and played an important role in characterization of the nonequilibrium and nonlinear properties of solid systems. Here, some of the recent progress of ultrafast optical techniques and their applications to the detection and manipulation of physical properties in selected quantum materials are reviewed. Specifically, the new development in the detection of the Higgs mode and photoinduced nonequilibrium response in the study of superconductors by time-resolved terahertz spectroscopy are discussed.
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Affiliation(s)
- Tao Dong
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, 100871, China
| | - Si-Jie Zhang
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, 100871, China
| | - Nan-Lin Wang
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, 100871, China
- Collaborative Innovation Center of Quantum Matter, Beijing, 100871, China
- Beijing Academy of Quantum Information Sciences, Beijing, 100913, China
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8
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Jang H, Song S, Kihara T, Liu Y, Lee SJ, Park SY, Kim M, Kim HD, Coslovich G, Nakata S, Kubota Y, Inoue I, Tamasaku K, Yabashi M, Lee H, Song C, Nojiri H, Keimer B, Kao CC, Lee JS. Characterization of photoinduced normal state through charge density wave in superconducting YBa 2Cu 3O 6.67. SCIENCE ADVANCES 2022; 8:eabk0832. [PMID: 35138893 PMCID: PMC8827649 DOI: 10.1126/sciadv.abk0832] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 06/21/2021] [Accepted: 12/15/2021] [Indexed: 06/14/2023]
Abstract
The normal state of high-Tc cuprates has been considered one of the essential topics in high-temperature superconductivity research. However, compared to the high magnetic field study of it, understanding a photoinduced normal state remains elusive. Here, we explore a photoinduced normal state of YBa2Cu3O6.67 through a charge density wave (CDW) with time-resolved resonant soft x-ray scattering, as well as a high magnetic field x-ray scattering. In the nonequilibrium state where people predict a quenched superconducting state based on the previous optical spectroscopies, we experimentally observed a similar analogy to the competition between superconductivity and CDW shown in the equilibrium state. We further observe that the broken pairing states in the superconducting CuO2 plane via the optical pump lead to nucleation of three-dimensional CDW precursor correlation. Ultimately, these findings provide a critical clue that the characteristics of the photoinduced normal state show a solid resemblance to those under magnetic fields in equilibrium conditions.
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Affiliation(s)
- Hoyoung Jang
- PAL-XFEL, Pohang Accelerator Laboratory, Pohang, Gyeongbuk 37673, Republic of Korea
- Photon Science Center, Pohang University of Science and Technology, Pohang, Gyeongbuk 37673, Republic of Korea
| | - Sanghoon Song
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - Takumi Kihara
- Institute for Materials Research, Tohoku University, Katahira 2-1-1, Sendai 980-8577, Japan
| | - Yijin Liu
- Stanford Synchrotron Radiation Lightsource, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - Sang-Jun Lee
- Stanford Synchrotron Radiation Lightsource, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - Sang-Youn Park
- PAL-XFEL, Pohang Accelerator Laboratory, Pohang, Gyeongbuk 37673, Republic of Korea
| | - Minseok Kim
- PAL-XFEL, Pohang Accelerator Laboratory, Pohang, Gyeongbuk 37673, Republic of Korea
| | - Hyeong-Do Kim
- PAL-XFEL, Pohang Accelerator Laboratory, Pohang, Gyeongbuk 37673, Republic of Korea
| | - Giacomo Coslovich
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - Suguru Nakata
- Max Planck Institute for Solid State Research, Heisenbergstr. 1, 70569 Stuttgart, Germany
| | - Yuya Kubota
- RIKEN SPring-8 Center, Sayo, Hyogo 679-5148, Japan
- Japan Synchrotron Radiation Research Institute, Sayo, Hyogo, 679-5198, Japan
| | - Ichiro Inoue
- RIKEN SPring-8 Center, Sayo, Hyogo 679-5148, Japan
| | | | - Makina Yabashi
- RIKEN SPring-8 Center, Sayo, Hyogo 679-5148, Japan
- Japan Synchrotron Radiation Research Institute, Sayo, Hyogo, 679-5198, Japan
| | - Heemin Lee
- Departments of Physics, Pohang University of Science and Technology, Pohang, Gyeongbuk 37673, Republic of Korea
| | - Changyong Song
- Photon Science Center, Pohang University of Science and Technology, Pohang, Gyeongbuk 37673, Republic of Korea
- Departments of Physics, Pohang University of Science and Technology, Pohang, Gyeongbuk 37673, Republic of Korea
| | - Hiroyuki Nojiri
- Institute for Materials Research, Tohoku University, Katahira 2-1-1, Sendai 980-8577, Japan
| | - Bernhard Keimer
- Max Planck Institute for Solid State Research, Heisenbergstr. 1, 70569 Stuttgart, Germany
| | - Chi-Chang Kao
- SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - Jun-Sik Lee
- Stanford Synchrotron Radiation Lightsource, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
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9
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Ground-state phase diagram of the t-t' -J model. Proc Natl Acad Sci U S A 2021; 118:2109978118. [PMID: 34706937 DOI: 10.1073/pnas.2109978118] [Citation(s) in RCA: 8] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Accepted: 09/05/2021] [Indexed: 11/18/2022] Open
Abstract
We report results of large-scale ground-state density matrix renormalization group (DMRG) calculations on t-[Formula: see text]-J cylinders with circumferences 6 and 8. We determine a rough phase diagram that appears to approximate the two-dimensional (2D) system. While for many properties, positive and negative [Formula: see text] values ([Formula: see text]) appear to correspond to electron- and hole-doped cuprate systems, respectively, the behavior of superconductivity itself shows an inconsistency between the model and the materials. The [Formula: see text] (hole-doped) region shows antiferromagnetism limited to very low doping, stripes more generally, and the familiar Fermi surface of the hole-doped cuprates. However, we find [Formula: see text] strongly suppresses superconductivity. The [Formula: see text] (electron-doped) region shows the expected circular Fermi pocket of holes around the [Formula: see text] point and a broad low-doped region of coexisting antiferromagnetism and d-wave pairing with a triplet p component at wavevector [Formula: see text] induced by the antiferromagnetism and d-wave pairing. The pairing for the electron low-doped system with [Formula: see text] is strong and unambiguous in the DMRG simulations. At larger doping another broad region with stripes in addition to weaker d-wave pairing and striped p-wave pairing appears. In a small doping region near [Formula: see text] for [Formula: see text], we find an unconventional type of stripe involving unpaired holes located predominantly on chains spaced three lattice spacings apart. The undoped two-leg ladder regions in between mimic the short-ranged spin correlations seen in two-leg Heisenberg ladders.
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10
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Kapcia KJ, Lemański R, Zygmunt MJ. Extended Falicov-Kimball model: Hartree-Fock vs DMFT approach. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2021; 33:065602. [PMID: 32717728 DOI: 10.1088/1361-648x/aba981] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
In this work, we study the extended Falicov-Kimball model at half-filling within the Hartree-Fock approach (HFA) (for various crystal lattices) and compare the results obtained with the rigorous ones derived within the dynamical mean field theory (DMFT). The model describes a system, where electrons with spin-↓ are itinerant (with hopping amplitude t), whereas those with spin-↑ are localized. The particles interact via on-site U and intersite V density-density Coulomb interactions. We show that the HFA description of the ground state properties of the model is equivalent to the exact DMFT solution and provides a qualitatively correct picture also for a range of small temperatures. It does capture the discontinuous transition between ordered phases at U = 2V for small temperatures as well as correct features of the continuous order-disorder transition. However, the HFA predicts that the discontinuous boundary ends at the isolated-critical point (of the liquid-gas type) and it does not merge with the continuous boundary. This approach cannot also describe properly a change of order of the continuous transition for large V as well as various metal-insulator transitions found within the DMFT.
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Affiliation(s)
- Konrad Jerzy Kapcia
- Institute of Nuclear Physics, Polish Academy of Sciences, ulica W. E. Radzikowskiego 152, PL-31342 Kraków, Poland
| | - Romuald Lemański
- Institute of Low Temperature and Structure Research, Polish Academy of Sciences, ulica Okólna 2, PL-50422 Wrocław, Poland
| | - Marcin Jakub Zygmunt
- Institute of Mathematics, University of Silesia, ulica Bankowa 14, PL-40007 Katowice, Poland
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11
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Dynamic electron correlations with charge order wavelength along all directions in the copper oxide plane. Nat Commun 2021; 12:597. [PMID: 33500415 PMCID: PMC7838423 DOI: 10.1038/s41467-020-20824-7] [Citation(s) in RCA: 13] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/21/2020] [Accepted: 12/21/2020] [Indexed: 11/08/2022] Open
Abstract
In strongly correlated systems the strength of Coulomb interactions between electrons, relative to their kinetic energy, plays a central role in determining their emergent quantum mechanical phases. We perform resonant x-ray scattering on Bi2Sr2CaCu2O8+δ, a prototypical cuprate superconductor, to probe electronic correlations within the CuO2 plane. We discover a dynamic quasi-circular pattern in the x-y scattering plane with a radius that matches the wave vector magnitude of the well-known static charge order. Along with doping- and temperature-dependent measurements, our experiments reveal a picture of charge order competing with superconductivity where short-range domains along x and y can dynamically rotate into any other in-plane direction. This quasi-circular spectrum, a hallmark of Brazovskii-type fluctuations, has immediate consequences to our understanding of rotational and translational symmetry breaking in the cuprates. We discuss how the combination of short- and long-range Coulomb interactions results in an effective non-monotonic potential that may determine the quasi-circular pattern. Knowledge of effective Coulomb interactions is central to understand emergent quantum phases in strongly correlated systems. Here, Boschini et al. report a dynamic quasi-circular spectrum of charge density wave fluctuations in the CuO2 plane of Bi2Sr2CaCu2O8+δ, shedding a light on understanding how Coulomb interactions can lead to rotational and translational symmetry breaking in the cuprates.
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12
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McMahon C, Achkar AJ, da Silva Neto EH, Djianto I, Menard J, He F, Sutarto R, Comin R, Liang R, Bonn DA, Hardy WN, Damascelli A, Hawthorn DG. Orbital symmetries of charge density wave order in YBa 2Cu 3O 6+x. SCIENCE ADVANCES 2020; 6:6/45/eaay0345. [PMID: 33158874 PMCID: PMC7673704 DOI: 10.1126/sciadv.aay0345] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 05/14/2019] [Accepted: 09/24/2020] [Indexed: 06/11/2023]
Abstract
Charge density wave (CDW) order has been shown to compete and coexist with superconductivity in underdoped cuprates. Theoretical proposals for the CDW order include an unconventional d-symmetry form factor CDW, evidence for which has emerged from measurements, including resonant soft x-ray scattering (RSXS) in YBa2Cu3O6+x (YBCO). Here, we revisit RSXS measurements of the CDW symmetry in YBCO, using a variation in the measurement geometry to provide enhanced sensitivity to orbital symmetry. We show that the (0 0.31 L) CDW peak measured at the Cu L edge is dominated by an s form factor rather than a d form factor as was reported previously. In addition, by measuring both (0.31 0 L) and (0 0.31 L) peaks, we identify a pronounced difference in the orbital symmetry of the CDW order along the a and b axes, with the CDW along the a axis exhibiting orbital order in addition to charge order.
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Affiliation(s)
- Christopher McMahon
- Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
| | - A J Achkar
- Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
| | - E H da Silva Neto
- Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada
- CIFAR, Toronto, Ontario M5G 1Z8, Canada
- Max Planck Institute for Solid State Research, Heisenbergstrasse 1, D-70569 Stuttgart, Germany
- Department of Physics, University of California, Davis, CA 95616, USA
- Department of Physics, Yale University, New Haven, CT 06511, USA
| | - I Djianto
- Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
| | - J Menard
- Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
| | - F He
- Canadian Light Source, Saskatoon, Saskatchewan S7N 2V3, Canada
| | - R Sutarto
- Canadian Light Source, Saskatoon, Saskatchewan S7N 2V3, Canada
| | - R Comin
- Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
| | - Ruixing Liang
- CIFAR, Toronto, Ontario M5G 1Z8, Canada
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
| | - D A Bonn
- Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada
- CIFAR, Toronto, Ontario M5G 1Z8, Canada
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
| | - W N Hardy
- CIFAR, Toronto, Ontario M5G 1Z8, Canada
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
| | - A Damascelli
- Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada
- CIFAR, Toronto, Ontario M5G 1Z8, Canada
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
| | - D G Hawthorn
- Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada.
- CIFAR, Toronto, Ontario M5G 1Z8, Canada
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13
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Frano A, Blanco-Canosa S, Keimer B, Birgeneau RJ. Charge ordering in superconducting copper oxides. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2020; 32:374005. [PMID: 31829986 DOI: 10.1088/1361-648x/ab6140] [Citation(s) in RCA: 11] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/14/2019] [Accepted: 12/12/2019] [Indexed: 06/10/2023]
Abstract
Charge order has recently been identified as a leading competitor of high-temperature superconductivity in moderately doped cuprates. We provide a survey of universal and materials-specific aspects of this phenomenon, with emphasis on results obtained by scattering methods. In particular, we discuss the structure, periodicity, and stability range of the charge-ordered state, its response to various external perturbations, the influence of disorder, the coexistence and competition with superconductivity, as well as collective charge dynamics. In the context of this journal issue which honors Roger Cowley's legacy, we also discuss the connection of charge ordering with lattice vibrations and the central-peak phenomenon. We end the review with an outlook on research opportunities offered by new synthesis methods and experimental platforms, including cuprate thin films and superlattices.
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Affiliation(s)
- Alex Frano
- Department of Physics, University of California, San Diego, CA 92093, United States of America
| | - Santiago Blanco-Canosa
- Donostia International Physics Center, DIPC, 20018 Donostia-San Sebastian, Basque Country, Spain
- IKERBASQUE, Basque Foundation for Science, 48013 Bilbao, Basque Country, Spain
| | - Bernhard Keimer
- Max Planck Institute for Solid State Research, Heisenbergstr. 1, 70569 Stuttgart, Germany
| | - Robert J Birgeneau
- Department of Physics, University of California, Berkeley, CA 94720, United States of America
- Department of Materials Science and Engineering, University of California Berkeley, Berkeley, CA 94720, United States of America
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14
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Wang X, Yuan Y, Xue QK, Li W. Charge ordering in high-temperature superconductors visualized by scanning tunneling microscopy. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2020; 32:013002. [PMID: 31487703 DOI: 10.1088/1361-648x/ab41c5] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
Since the discovery of stripe order in La1.6-x Nd0.4Sr x CuO4 superconductors in 1995, charge ordering in cuprate superconductors has been intensively studied by various experimental techniques. Among these studies, scanning tunneling microscope (STM) plays an irreplaceable role in determining the real space structures of charge ordering. STM imaging of different families of cuprates over a wide range of doping levels reveal similar checkerboard-like patterns, indicating that such a charge ordered state is likely a ubiquitous and intrinsic characteristic of cuprate superconductors, which may shed light on understanding the mechanism of high-temperature superconductivity. In another class of high-temperature superconductors, iron-based superconductors, STM studies reveal several charge ordered states as well, but their real-space patterns and the interplay with superconductivity are markedly different among different materials. In this paper, we present a brief review on STM studies of charge ordering in these two classes of high-temperature superconductors. Possible origins of charge ordering and its interplay with superconductivity will be discussed.
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Affiliation(s)
- Xintong Wang
- State Key Laboratory of Low-Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing 100084, People's Republic of China. Collaborative Innovation Center of Quantum Matter, Beijing 100084, People's Republic of China
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15
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Qian J, Wan Y, Huang S, Yao X, Zhou L, Diko P. Enhancing the homogeneity of YBa 2(Cu 1−x
Fe
x
) 3O 7−δsingle crystals by using an Fe-added Y 2O 3 crucible via top-seeded solution growth. J Appl Crystallogr 2019. [DOI: 10.1107/s1600576719005697] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/10/2022] Open
Abstract
Sizable metal-ion-doped YBa2Cu3O7−δ single crystals with high uniformity have been in great demand for fundamental studies on superconductivity. This article reports a novel approach, based on top-seeded solution growth and characterized by using an Fe-added Y2O3 crucible, to effectively enhance the homogeneity of YBa2(Cu1−x
Fe
x
)3O7−δ single crystals. Because Fe ions are absorbable on or dissolvable from the Fe-Y2O3 crucible, it functions as a reservoir, yielding a stable Fe concentration in the liquid. Consequently, a series of acceptably sized YBa2(Cu1−x
Fe
x
)3O7−δ single crystals with better uniformity than those grown by previous methods were obtained. The new dopant-added crucible, capable of balancing the solution spontaneously, is broadly applicable for preparing other doped single crystals.
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16
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Wen JJ, Huang H, Lee SJ, Jang H, Knight J, Lee YS, Fujita M, Suzuki KM, Asano S, Kivelson SA, Kao CC, Lee JS. Observation of two types of charge-density-wave orders in superconducting La 2-xSr xCuO 4. Nat Commun 2019; 10:3269. [PMID: 31332190 PMCID: PMC6646325 DOI: 10.1038/s41467-019-11167-z] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/27/2019] [Accepted: 06/13/2019] [Indexed: 11/26/2022] Open
Abstract
The discovery of charge- and spin-density-wave (CDW/SDW) orders in superconducting cuprates has altered our perspective on the nature of high-temperature superconductivity (SC). However, it has proven difficult to fully elucidate the relationship between the density wave orders and SC. Here, using resonant soft X-ray scattering, we study the archetypal cuprate La2-xSrxCuO4 (LSCO) over a broad doping range. We reveal the existence of two types of CDW orders in LSCO, namely CDW stripe order and CDW short-range order (SRO). While the CDW-SRO is suppressed by SC, it is partially transformed into the CDW stripe order with developing SDW stripe order near the superconducting Tc. These findings indicate that the stripe orders and SC are inhomogeneously distributed in the superconducting CuO2 planes of LSCO. This further suggests a new perspective on the putative pair-density-wave order that coexists with SC, SDW, and CDW orders. To fully elucidate the relationship between density wave orders and superconductivity in high-Tc cuprates remains difficult. Here, the authors reveal two types of charge-density-wave orders and their intertwined relationship with spin-density-wave order and superconductivity in La2-xSrxCuO4.
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Affiliation(s)
- J-J Wen
- SLAC National Accelerator Laboratory, Menlo Park, California, 94025, USA
| | - H Huang
- SLAC National Accelerator Laboratory, Menlo Park, California, 94025, USA
| | - S-J Lee
- SLAC National Accelerator Laboratory, Menlo Park, California, 94025, USA
| | - H Jang
- SLAC National Accelerator Laboratory, Menlo Park, California, 94025, USA.,PAL-XFEL, Pohang Accelerator Laboratory, Gyeongbuk, 37673, South Korea
| | - J Knight
- SLAC National Accelerator Laboratory, Menlo Park, California, 94025, USA
| | - Y S Lee
- SLAC National Accelerator Laboratory, Menlo Park, California, 94025, USA.,Department of Applied Physics, Stanford University, Stanford, CA, 94305, USA
| | - M Fujita
- Institute for Materials Research, Tohoku University, Sendai, 980-8577, Japan
| | - K M Suzuki
- Institute for Materials Research, Tohoku University, Sendai, 980-8577, Japan
| | - S Asano
- Institute for Materials Research, Tohoku University, Sendai, 980-8577, Japan
| | - S A Kivelson
- Departments of Physics, Stanford University, Stanford, CA, 94305, USA
| | - C-C Kao
- SLAC National Accelerator Laboratory, Menlo Park, California, 94025, USA
| | - J-S Lee
- SLAC National Accelerator Laboratory, Menlo Park, California, 94025, USA.
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17
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Tc and Other Cuprate Properties in Relation to Planar Charges as Measured by NMR. CONDENSED MATTER 2019. [DOI: 10.3390/condmat4030067] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
Abstract
Nuclear magnetic resonance (NMR) in cuprate research is a prominent bulk local probe of magnetic properties. NMR also, as was shown over the last years, actually provides a quantitative measure of local charges in the CuO 2 plane. This has led to fundamental insights, e.g., that the maximum T c is determined by the sharing of the parent planar hole between Cu and O. Using bonding orbital hole contents on planar Cu and O measured by NMR, instead of the total doping x, the thus defined two-dimensional cuprate phase diagram reveals significant differences between the various cuprate materials. Even more importantly, the reflected differences in material chemistry appear to set a number of electronic properties as we discuss here, for undoped, underdoped and optimally doped cuprates. These relations should advise attempts at a theoretical understanding of cuprate physics as well as inspire material chemists towards new high- T c materials. Probing planar charges, NMR is also sensitive to charge variations or ordering phenomena in the CuO 2 plane. Thereby, local charge order on planar O in optimally doped YBCO could recently be proven. Charge density variations seen by NMR in both planar bonding orbitals with amplitudes between 1% to 5% appear to be omnipresent in the doped CuO 2 plane, i.e., not limited to underdoped cuprates and low temperatures.
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18
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Myasnikova AE, Nazdracheva TF, Lutsenko AV, Dmitriev AV, Dzhantemirov AH, Zhileeva EA, Moseykin DV. Strong long-range electron-phonon interaction as possible driving force for charge ordering in cuprates. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2019; 31:235602. [PMID: 30840947 DOI: 10.1088/1361-648x/ab0d6c] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/09/2023]
Abstract
A model resulting in charge ordering (CO) similar to that observed in cuprate superconductors is under study. It includes strong long-range electron-phonon interaction (EPI) and high density of correlated carriers. Coexistence of large bipolarons and delocalized carriers is a feature of such system. We develop generalized variation method to calculate the bipolaron size (CO period) in the ground normal state of such system at various doping. The approach allows the revealing of a possible physical reason of strongly different doping behavior of the CO wave vector in different cuprates. Obtained doping dependences of the CO period and temperature of the CO decay demonstrate quantitative agreement with those observed in cuprates. Predicted in the suggested approach ratio of the CO wave vector to the wave vector of the high-energy anomaly (HEA) in ARPES spectrum is in consent with that in cuprates. Calculated resonant x-rays scattering on the CO emerging in the model is in good agreement with experiments on cuprates including the asymmetry of the CO peaks' cross-section. A gap arises in the spectrum of delocalized carriers near antinodal direction due to their scattering on the periodic potential created by autolocalized carriers, analogously to photon crystal effect.
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19
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Disorder raises the critical temperature of a cuprate superconductor. Proc Natl Acad Sci U S A 2019; 116:10691-10697. [PMID: 31085657 DOI: 10.1073/pnas.1817134116] [Citation(s) in RCA: 23] [Impact Index Per Article: 4.6] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
With the discovery of charge-density waves (CDWs) in most members of the cuprate high-temperature superconductors, the interplay between superconductivity and CDWs has become a key point in the debate on the origin of high-temperature superconductivity. Some experiments in cuprates point toward a CDW state competing with superconductivity, but others raise the possibility of a CDW-superconductivity intertwined order or more elusive pair-density waves (PDWs). Here, we have used proton irradiation to induce disorder in crystals of [Formula: see text] and observed a striking 50% increase of [Formula: see text], accompanied by a suppression of the CDWs. This is in sharp contrast with the behavior expected of a d-wave superconductor, for which both magnetic and nonmagnetic defects should suppress [Formula: see text] Our results thus make an unambiguous case for the strong detrimental effect of the CDW on bulk superconductivity in [Formula: see text] Using tunnel diode oscillator (TDO) measurements, we find indications for potential dynamic layer decoupling in a PDW phase. Our results establish irradiation-induced disorder as a particularly relevant tuning parameter for the many families of superconductors with coexisting density waves, which we demonstrate on superconductors such as the dichalcogenides and [Formula: see text].
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20
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Fermi surface reconstruction in electron-doped cuprates without antiferromagnetic long-range order. Proc Natl Acad Sci U S A 2019; 116:3449-3453. [PMID: 30808739 DOI: 10.1073/pnas.1816121116] [Citation(s) in RCA: 27] [Impact Index Per Article: 5.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
Fermi surface (FS) topology is a fundamental property of metals and superconductors. In electron-doped cuprate Nd2-x Ce x CuO4 (NCCO), an unexpected FS reconstruction has been observed in optimal- and overdoped regime (x = 0.15-0.17) by quantum oscillation measurements (QOM). This is all the more puzzling because neutron scattering suggests that the antiferromagnetic (AFM) long-range order, which is believed to reconstruct the FS, vanishes before x = 0.14. To reconcile the conflict, a widely discussed external magnetic-field-induced AFM long-range order in QOM explains the FS reconstruction as an extrinsic property. Here, we report angle-resolved photoemission (ARPES) evidence of FS reconstruction in optimal- and overdoped NCCO. The observed FSs are in quantitative agreement with QOM, suggesting an intrinsic FS reconstruction without field. This reconstructed FS, despite its importance as a basis to understand electron-doped cuprates, cannot be explained under the traditional scheme. Furthermore, the energy gap of the reconstruction decreases rapidly near x = 0.17 like an order parameter, echoing the quantum critical doping in transport. The totality of the data points to a mysterious order between x = 0.14 and 0.17, whose appearance favors the FS reconstruction and disappearance defines the quantum critical doping. A recent topological proposal provides an ansatz for its origin.
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21
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Tu WL, Lee TK. Evolution of Pairing Orders between Pseudogap and Superconducting Phases of Cuprate Superconductors. Sci Rep 2019; 9:1719. [PMID: 30737472 PMCID: PMC6368576 DOI: 10.1038/s41598-018-38288-7] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/16/2018] [Accepted: 12/10/2018] [Indexed: 11/09/2022] Open
Abstract
One of the most puzzling problems of high temperature cuprate superconductor is the pseudogap phase (PG) at temperatures above the superconducting transition temperature in the underdoped regime. The PG phase is found by the angle-resolved photoemission spectra (ARPES) to have a gap at some regions in momentum space and a fraction of Fermi surface remained, known as Fermi arcs. The arc turns into a d-wave SC gap with a node below the SC transition temperature. Here, by studying a strongly correlated model at low temperatures, we obtained a phase characterized by two kinds of pairing order parameters with the total momentum of the Cooper pair to be zero and finite. The finite momentum pairing is accompanied with a spatial modulation of pairing order, i.e. a pair density wave (PDW). These PDW phases are intertwined with modulations of charge density and intra-unit cell form factors. The coexistence of the two different pairing orders provides the unique two-gaps like spectra observed by ARPES for superconducting cuprates. As temperature raises, the zero-momentum pairing order vanishes while the finite momentum pairing orders are kept, thus Fermi arcs are realized. The calculated quasiparticle spectra have the similar doping and temperature dependence as reported by ARPES and scanning tunneling spectroscopy (STS). The consequence of breaking symmetry between x and y due to the unidirectional PDW and the possibility to probe such a PDW state in the PG phase is discussed.
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Affiliation(s)
- Wei-Lin Tu
- Department of Physics, National Taiwan University, Daan, Taipei, 10617, Taiwan
- Laboratoire de Physique Théorique, IRSAMC, Université de Toulouse, CNRS, UPS, Toulouse, France
- Institute of Physics, Academia Sinica, Nankang, Taipei, 11529, Taiwan
| | - Ting-Kuo Lee
- Institute of Physics, Academia Sinica, Nankang, Taipei, 11529, Taiwan.
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22
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Li Y, Tabis W, Tang Y, Yu G, Jaroszynski J, Barišić N, Greven M. Hole pocket-driven superconductivity and its universal features in the electron-doped cuprates. SCIENCE ADVANCES 2019; 5:eaap7349. [PMID: 30746483 PMCID: PMC6358316 DOI: 10.1126/sciadv.aap7349] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/22/2017] [Accepted: 10/02/2018] [Indexed: 05/10/2023]
Abstract
After three decades of intensive research attention, the emergence of superconductivity in cuprates remains an unsolved puzzle. One major challenge has been to arrive at a satisfactory understanding of the unusual metallic "normal state" from which the superconducting state emerges upon cooling. A second challenge has been to achieve a unified understanding of hole- and electron-doped compounds. Here, we report detailed magnetoresistance measurements for the archetypal electron-doped cuprate Nd2-x Ce x CuO4+δ that, in combination with previous data, provide crucial links between the normal and superconducting states and between the electron- and hole-doped parts of the phase diagram. The characteristics of the normal state (magnetoresistance, quantum oscillations, and Hall coefficient) and those of the superconducting state (superfluid density and upper critical field) consistently indicate two-band (electron and hole) features and point to hole pocket-driven superconductivity in these nominally electron-doped materials. We show that the approximate Uemura scaling between the superconducting transition temperature and the superfluid density found for hole-doped cuprates also holds for the small hole component of the superfluid density in electron-doped cuprates.
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Affiliation(s)
- Yangmu Li
- School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455, USA
- Corresponding author. (Y.L.); (N.B.); (M.G.)
| | - W. Tabis
- School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455, USA
- AGH University of Science and Technology, Faculty of Physics and Applied Computer Science, 30-059 Krakow, Poland
| | - Y. Tang
- School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455, USA
| | - G. Yu
- School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455, USA
| | - J. Jaroszynski
- National High Magnetic Field National Laboratory, Florida State University, 1800 E. Paul Dirac Drive, Tallahassee, FL 32310, USA
| | - N. Barišić
- School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455, USA
- Institute of Solid State Physics, TU Wien, 1040 Vienna, Austria
- Department of Physics, Faculty of Science, University of Zagreb, HR-10000 Zagreb, Croatia
- Corresponding author. (Y.L.); (N.B.); (M.G.)
| | - M. Greven
- School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455, USA
- Corresponding author. (Y.L.); (N.B.); (M.G.)
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23
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Zhang Z, Sutarto R, He F, Chou FC, Udby L, Holm SL, Zhu ZH, Hines WA, Budnick JI, Wells BO. Nematicity and Charge Order in Superoxygenated La_{2-x}Sr_{x}CuO_{4+y}. PHYSICAL REVIEW LETTERS 2018; 121:067602. [PMID: 30141664 DOI: 10.1103/physrevlett.121.067602] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/02/2017] [Revised: 02/24/2018] [Indexed: 06/08/2023]
Abstract
In this Letter, we report a resonant x-ray scattering measurement of stripelike charge order in the 1/8th doped component of electronically phase-separated, orthorhombic La_{2}CuO_{4+y}. This observation is coupled to the absence of any resonant (001) peak, which at different resonant energies has been identified with the presence of low-temperature-tetragonal-like structural tilt patterns or nematicity in the CuO planes. Thus, we provide evidence that structural pinning is not necessary for the formation of static charge stripes and that the relationship between charge nematicity and stripes may not be simple.
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Affiliation(s)
- Zhiwei Zhang
- Department of Physics, University of Connecticut, Storrs, Connecticut 06269, USA
| | - R Sutarto
- Canadian Light Source, Saskatoon, Saskatchewan S7N 2V3, Canada
| | - F He
- Canadian Light Source, Saskatoon, Saskatchewan S7N 2V3, Canada
| | - F C Chou
- Center for Condensed Matter Sciences, National Taiwan University, Taipei 10670, Taiwan
| | - L Udby
- X-ray and Neutron Science, Niels Bohr Institute, University of Copenhagen, DK-2100 Copenhagen, Denmark
| | - S L Holm
- X-ray and Neutron Science, Niels Bohr Institute, University of Copenhagen, DK-2100 Copenhagen, Denmark
| | - Z H Zhu
- Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
| | - W A Hines
- Department of Physics, University of Connecticut, Storrs, Connecticut 06269, USA
| | - J I Budnick
- Department of Physics, University of Connecticut, Storrs, Connecticut 06269, USA
| | - B O Wells
- Department of Physics, University of Connecticut, Storrs, Connecticut 06269, USA
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24
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Stabilization of three-dimensional charge order in YBa 2Cu 3O 6+x via epitaxial growth. Nat Commun 2018; 9:2978. [PMID: 30061634 PMCID: PMC6065363 DOI: 10.1038/s41467-018-05434-8] [Citation(s) in RCA: 28] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/31/2018] [Accepted: 07/04/2018] [Indexed: 11/25/2022] Open
Abstract
Incommensurate charge order (CO) has been identified as the leading competitor of high-temperature superconductivity in all major families of layered copper oxides, but the perplexing variety of CO states in different cuprates has confounded investigations of its impact on the transport and thermodynamic properties. The three-dimensional (3D) CO observed in YBa2Cu3O6+x in high magnetic fields is of particular interest, because quantum transport measurements have revealed detailed information about the corresponding Fermi surface. Here we use resonant X-ray scattering to demonstrate 3D-CO in underdoped YBa2Cu3O6+x films grown epitaxially on SrTiO3 in the absence of magnetic fields. The resonance profiles indicate that Cu sites in the charge-reservoir layers participate in the CO state, and thus efficiently transmit CO correlations between adjacent CuO2 bilayer units. The results offer fresh perspectives for experiments elucidating the influence of 3D-CO on the electronic properties of cuprates without the need to apply high magnetic fields. In many cuprates the high temperature superconducting state competes with a charge ordered phase that has been difficult to investigate in detail. Here the authors show three-dimensional charge order can be stabilized in YBCO films and studied without using the high magnetic fields that are necessary in the bulk material.
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25
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Myasnikova AE, Zhileeva EA, Moseykin DV. Relaxation of strongly coupled electron and phonon fields after photoemission and high-energy part of ARPES spectra of cuprates. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2018; 30:125601. [PMID: 29406313 DOI: 10.1088/1361-648x/aaad3e] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
An approach to considering systems with a high concentration of correlated carriers and strong long-range electron-phonon interaction and to calculating the high-energy part of the angle-resolved photoemission spectroscopy (ARPES) spectra of such systems is suggested. Joint relaxation of strongly coupled fields-a field of correlated electrons and phonon field-after photoemission is studied to clarify the nature of characteristic features observed in the high-energy part of the ARPES spectra of cuprate superconductors. Such relaxation occurs in systems with strong predominantly long-range electron-phonon interaction at sufficiently high carrier concentration due to the coexistence of autolocalized and delocalized carriers. A simple method to calculate analytically a high-energy part of the ARPES spectrum arising is proposed. It takes advantage of using the coherent states basis for the phonon field in the polaron and bipolaron states. The approach suggested yields all the high-energy spectral features like broad Gaussian band and regions of 'vertical dispersion' being in good quantitative agreement with the experiments on cuprates at any doping with both types of carriers. Demonstrated coexistence of autolocalized and delocalized carriers in superconducting cuprates changes the idea about their ground state above the superconducting transition temperature that is important for understanding transport and magnetic properties. High density of large-radius autolocalized carriers revealed may be a key to the explanation of charge ordering in doped cuprates.
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Affiliation(s)
- A E Myasnikova
- Physics Faculty, Southern Federal University, Rostov-on-Don, Russia
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26
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Ekino T, Gabovich AM, Suan Li M, Szymczak H, Voitenko AI. Quasiparticle conductance-voltage characteristics for break junctions involving d-wave superconductors: charge-density-wave effects. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2017; 29:505602. [PMID: 29105650 DOI: 10.1088/1361-648x/aa9867] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/07/2023]
Abstract
Quasiparticle tunnel conductance-voltage characteristics (CVCs), [Formula: see text], were calculated for break junctions (BJs) made up of layered d-wave superconductors partially gapped by charge-density waves (CDWs). The current is assumed to flow in the ab-plane of electrodes. The influence of CDWs is analyzed by comparing the resulting CVCs with CVCs calculated for BJs made up of pure d-wave superconductors with relevant parameters. The main CDW-effects were found to be the appearance of new CVC peculiarities and the loss of CVC symmetry with respect to the V-sign. Tunnel directionality was shown to be one of the key factors in the formation of [Formula: see text] dependences. In particular, the orientation of electrodes with respect to the current channel becomes very important. As a result, [Formula: see text] can acquire a large variety of forms similar to those for tunnel junctions between superconductors with s-wave, d-wave, and mixed symmetry of their order parameters. The diversity of peculiarities is especially striking at finite temperatures. In the case of BJs made up of pure d-wave superconductors, the resulting CVC can include a two-peak gap-driven structure. The results were compared with the experimental BJ data for a number of high-T c oxides. It was shown that the large variety of the observed current-voltage characteristics can be interpreted in the framework of our approach. Thus, quasiparticle tunnel currents in the ab-plane can be used as an additional mean to detect CDWs competing with superconductivity in cuprates or other layered superconductors.
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Affiliation(s)
- T Ekino
- Hiroshima University, Graduate School of Integrated Arts and Sciences, Higashi-Hiroshima, 739-8521, Japan
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27
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Kapcia KJ, Barański J, Ptok A. Diversity of charge orderings in correlated systems. Phys Rev E 2017; 96:042104. [PMID: 29347509 DOI: 10.1103/physreve.96.042104] [Citation(s) in RCA: 13] [Impact Index Per Article: 1.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/31/2017] [Indexed: 11/07/2022]
Abstract
The phenomenon associated with inhomogeneous distribution of electron density is known as a charge ordering. In this work, we study the zero-bandwidth limit of the extended Hubbard model, which can be considered as a simple effective model of charge ordered insulators. It consists of the on-site interaction U and the intersite density-density interactions W_{1} and W_{2} between nearest neighbors and next-nearest neighbors, respectively. We derived the exact ground state diagrams for different lattice dimensionalities and discuss effects of small finite temperatures in the limit of high dimensions. In particular, we estimated the critical interactions for which new ordered phases emerge (laminar or stripe and four-sublattice-type). Our analysis show that the ground state of the model is highly degenerated. One of the most intriguing finding is that the nonzero temperature removes these degenerations.
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Affiliation(s)
- Konrad Jerzy Kapcia
- Institute of Physics, Polish Academy of Sciences, Aleja Lotników 32/46, PL-02-668 Warsaw, Poland.,Institute of Nuclear Physics, Polish Academy of Sciences, ul. E. Radzikowskiego 152, PL-31-342 Kraków, Poland
| | - Jan Barański
- Institute of Physics, Polish Academy of Sciences, Aleja Lotników 32/46, PL-02-668 Warsaw, Poland
| | - Andrzej Ptok
- Institute of Nuclear Physics, Polish Academy of Sciences, ul. E. Radzikowskiego 152, PL-31-342 Kraków, Poland.,Institute of Physics, Maria Curie-Skłodowska University, Plac M. Skłodowskiej-Curie 1, PL-20-031 Lublin, Poland
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Caplan Y, Orgad D. Dimensional Crossover of Charge-Density Wave Correlations in the Cuprates. PHYSICAL REVIEW LETTERS 2017; 119:107002. [PMID: 28949186 DOI: 10.1103/physrevlett.119.107002] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/05/2017] [Indexed: 06/07/2023]
Abstract
Short-range charge-density wave correlations are ubiquitous in underdoped cuprates. They are largely confined to the copper-oxygen planes and typically oscillate out of phase from one unit cell to the next in the c direction. Recently, it was found that a considerably longer-range charge-density wave order develops in YBa_{2}Cu_{3}O_{6+x} above a sharply defined crossover magnetic field. This order is more three-dimensional and is in-phase along the c axis. Here, we show that such behavior is a consequence of the conflicting ordering tendencies induced by the disorder potential and the Coulomb interaction, where the magnetic field acts to tip the scales from the former to the latter. We base our conclusion on analytic large-N analysis and Monte Carlo simulations of a nonlinear sigma model of competing superconducting and charge-density wave orders. Our results are in agreement with the observed phenomenology in the cuprates, and we discuss their implications to other members of this family, which have not been measured yet at high magnetic fields.
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Affiliation(s)
- Yosef Caplan
- Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel
| | - Dror Orgad
- Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel
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29
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Peli S, Dal Conte S, Comin R, Nembrini N, Ronchi A, Abrami P, Banfi F, Ferrini G, Brida D, Lupi S, Fabrizio M, Damascelli A, Capone M, Cerullo G, Giannetti C. Mottness at finite doping and charge-instabilities in cuprates. NATURE PHYSICS 2017; 13:806-811. [PMID: 28781605 PMCID: PMC5540185 DOI: 10.1038/nphys4112] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/21/2016] [Accepted: 03/27/2017] [Indexed: 05/31/2023]
Abstract
The influence of the Mott physics on the doping-temperature phase diagram of copper oxides represents a major issue that is subject of intense theoretical and experimental effort. Here, we investigate the ultrafast electron dynamics in prototypical single-layer Bi-based cuprates at the energy scale of the O-2p→Cu-3d charge-transfer (CT) process. We demonstrate a clear evolution of the CT excitations from incoherent and localized, as in a Mott insulator, to coherent and delocalized, as in a conventional metal. This reorganization of the high-energy degrees of freedom occurs at the critical doping pcr ≈0.16 irrespective of the temperature, and it can be well described by dynamical mean field theory calculations. We argue that the onset of the low-temperature charge instabilities is the low-energy manifestation of the underlying Mottness that characterizes the p < pcr region of the phase diagram. This discovery sets a new framework for theories of charge order and low-temperature phases in underdoped copper oxides.
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Affiliation(s)
- S Peli
- Department of Mathematics and Physics, Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
- Department of Physics, Università degli Studi di Milano, 20133 Milano, Italy
| | - S Dal Conte
- IFN-CNR, Dipartimento di Fisica, Politecnico di Milano, 20133 Milano, Italy
| | - R Comin
- Quantum Matter Institute, University of British Columbia, Vancouver, BC V6T 1Z4, Canada
- Department of Physics and Astronomy, University of British Columbia, Vancouver, BC V6T 1Z1, Canada
| | - N Nembrini
- Department of Mathematics and Physics, Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
- Department of Physics, Università degli Studi di Milano, 20133 Milano, Italy
| | - A Ronchi
- Department of Mathematics and Physics, Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
- I-LAMP (Interdisciplinary Laboratories for Advanced Materials Physics), Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
- Department of Physics and Astronomy, KU Leuven, Celestijnenlaan 200D, B-3001 Heverlee, Leuven, Belgium
| | - P Abrami
- Department of Mathematics and Physics, Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
- I-LAMP (Interdisciplinary Laboratories for Advanced Materials Physics), Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
| | - F Banfi
- Department of Mathematics and Physics, Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
- I-LAMP (Interdisciplinary Laboratories for Advanced Materials Physics), Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
| | - G Ferrini
- Department of Mathematics and Physics, Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
- I-LAMP (Interdisciplinary Laboratories for Advanced Materials Physics), Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
| | - D Brida
- IFN-CNR, Dipartimento di Fisica, Politecnico di Milano, 20133 Milano, Italy
- Department of Physics and Center for Applied Photonics, University of Konstanz, 78457 Konstanz, Germany
| | - S Lupi
- CNR-IOM Dipartimento di Fisica, Università di Roma La Sapienza P.le Aldo Moro 2, 00185 Rome, Italy
| | - M Fabrizio
- Scuola Internazionale Superiore di Studi Avanzati (SISSA) and CNR-IOM Democritos National Simulation Center, Via Bonomea 265, 34136 Trieste (Italy)
| | - A Damascelli
- Quantum Matter Institute, University of British Columbia, Vancouver, BC V6T 1Z4, Canada
- Department of Physics and Astronomy, University of British Columbia, Vancouver, BC V6T 1Z1, Canada
| | - M Capone
- Scuola Internazionale Superiore di Studi Avanzati (SISSA) and CNR-IOM Democritos National Simulation Center, Via Bonomea 265, 34136 Trieste (Italy)
| | - G Cerullo
- IFN-CNR, Dipartimento di Fisica, Politecnico di Milano, 20133 Milano, Italy
| | - C Giannetti
- Department of Mathematics and Physics, Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
- I-LAMP (Interdisciplinary Laboratories for Advanced Materials Physics), Università Cattolica del Sacro Cuore, Brescia I-25121, Italy
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30
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Novel Electronic State and Superconductivity in the Electron-Doped High-Tc T’-Superconductors. CONDENSED MATTER 2017. [DOI: 10.3390/condmat2030023] [Citation(s) in RCA: 20] [Impact Index Per Article: 2.9] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
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31
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Doriese WB, Abbamonte P, Alpert BK, Bennett DA, Denison EV, Fang Y, Fischer DA, Fitzgerald CP, Fowler JW, Gard JD, Hays-Wehle JP, Hilton GC, Jaye C, McChesney JL, Miaja-Avila L, Morgan KM, Joe YI, O'Neil GC, Reintsema CD, Rodolakis F, Schmidt DR, Tatsuno H, Uhlig J, Vale LR, Ullom JN, Swetz DS. A practical superconducting-microcalorimeter X-ray spectrometer for beamline and laboratory science. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2017; 88:053108. [PMID: 28571411 DOI: 10.1063/1.4983316] [Citation(s) in RCA: 17] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/20/2023]
Abstract
We describe a series of microcalorimeter X-ray spectrometers designed for a broad suite of measurement applications. The chief advantage of this type of spectrometer is that it can be orders of magnitude more efficient at collecting X-rays than more traditional high-resolution spectrometers that rely on wavelength-dispersive techniques. This advantage is most useful in applications that are traditionally photon-starved and/or involve radiation-sensitive samples. Each energy-dispersive spectrometer is built around an array of several hundred transition-edge sensors (TESs). TESs are superconducting thin films that are biased into their superconducting-to-normal-metal transitions. The spectrometers share a common readout architecture and many design elements, such as a compact, 65 mK detector package, 8-column time-division-multiplexed superconducting quantum-interference device readout, and a liquid-cryogen-free cryogenic system that is a two-stage adiabatic-demagnetization refrigerator backed by a pulse-tube cryocooler. We have adapted this flexible architecture to mate to a variety of sample chambers and measurement systems that encompass a range of observing geometries. There are two different types of TES pixels employed. The first, designed for X-ray energies below 10 keV, has a best demonstrated energy resolution of 2.1 eV (full-width-at-half-maximum or FWHM) at 5.9 keV. The second, designed for X-ray energies below 2 keV, has a best demonstrated resolution of 1.0 eV (FWHM) at 500 eV. Our team has now deployed seven of these X-ray spectrometers to a variety of light sources, accelerator facilities, and laboratory-scale experiments; these seven spectrometers have already performed measurements related to their applications. Another five of these spectrometers will come online in the near future. We have applied our TES spectrometers to the following measurement applications: synchrotron-based absorption and emission spectroscopy and energy-resolved scattering; accelerator-based spectroscopy of hadronic atoms and particle-induced-emission spectroscopy; laboratory-based time-resolved absorption and emission spectroscopy with a tabletop, broadband source; and laboratory-based metrology of X-ray-emission lines. Here, we discuss the design, construction, and operation of our TES spectrometers and show first-light measurements from the various systems. Finally, because X-ray-TES technology continues to mature, we discuss improvements to array size, energy resolution, and counting speed that we anticipate in our next generation of TES-X-ray spectrometers and beyond.
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Affiliation(s)
- W B Doriese
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
| | - P Abbamonte
- Department of Physics, University of Illinois, Urbana, Illinois 61801, USA
| | - B K Alpert
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
| | - D A Bennett
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
| | - E V Denison
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
| | - Y Fang
- Department of Physics, University of Illinois, Urbana, Illinois 61801, USA
| | - D A Fischer
- National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA
| | - C P Fitzgerald
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
| | - J W Fowler
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
| | - J D Gard
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
| | - J P Hays-Wehle
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
| | - G C Hilton
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
| | - C Jaye
- National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA
| | - J L McChesney
- Argonne National Laboratory, Advanced Photon Source, Argonne, Illinois 60439, USA
| | - L Miaja-Avila
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
| | - K M Morgan
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
| | - Y I Joe
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
| | - G C O'Neil
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
| | - C D Reintsema
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
| | - F Rodolakis
- Argonne National Laboratory, Advanced Photon Source, Argonne, Illinois 60439, USA
| | - D R Schmidt
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
| | - H Tatsuno
- Department of Chemical Physics, Lund University, Lund, Sweden
| | - J Uhlig
- Department of Chemical Physics, Lund University, Lund, Sweden
| | - L R Vale
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
| | - J N Ullom
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
| | - D S Swetz
- National Institute of Standards and Technology, Boulder, Colorado 80305, USA
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32
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Zhou R, Hirata M, Wu T, Vinograd I, Mayaffre H, Krämer S, Horvatić M, Berthier C, Reyes AP, Kuhns PL, Liang R, Hardy WN, Bonn DA, Julien MH. Quasiparticle Scattering off Defects and Possible Bound States in Charge-Ordered YBa_{2}Cu_{3}O_{y}. PHYSICAL REVIEW LETTERS 2017; 118:017001. [PMID: 28106424 DOI: 10.1103/physrevlett.118.017001] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/19/2016] [Indexed: 06/06/2023]
Abstract
We report the NMR observation of a skewed distribution of ^{17}O Knight shifts when a magnetic field quenches superconductivity and induces long-range charge-density-wave (CDW) order in YBa_{2}Cu_{3}O_{y}. This distribution is explained by an inhomogeneous pattern of the local density of states N(E_{F}) arising from quasiparticle scattering off, yet unidentified, defects in the CDW state. We argue that the effect is most likely related to the formation of quasiparticle bound states, as is known to occur, under specific circumstances, in some metals and superconductors (but not in the CDW state, in general, except for very few cases in 1D materials). These observations should provide insight into the microscopic nature of the CDW, especially regarding the reconstructed band structure and the sensitivity to disorder.
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Affiliation(s)
- R Zhou
- Laboratoire National des Champs Magnétiques Intenses, CNRS-Université Grenoble Alpes-UPS-INSA-EMFL, 38042 Grenoble, France
| | - M Hirata
- Laboratoire National des Champs Magnétiques Intenses, CNRS-Université Grenoble Alpes-UPS-INSA-EMFL, 38042 Grenoble, France
| | - T Wu
- Laboratoire National des Champs Magnétiques Intenses, CNRS-Université Grenoble Alpes-UPS-INSA-EMFL, 38042 Grenoble, France
| | - I Vinograd
- Laboratoire National des Champs Magnétiques Intenses, CNRS-Université Grenoble Alpes-UPS-INSA-EMFL, 38042 Grenoble, France
| | - H Mayaffre
- Laboratoire National des Champs Magnétiques Intenses, CNRS-Université Grenoble Alpes-UPS-INSA-EMFL, 38042 Grenoble, France
| | - S Krämer
- Laboratoire National des Champs Magnétiques Intenses, CNRS-Université Grenoble Alpes-UPS-INSA-EMFL, 38042 Grenoble, France
| | - M Horvatić
- Laboratoire National des Champs Magnétiques Intenses, CNRS-Université Grenoble Alpes-UPS-INSA-EMFL, 38042 Grenoble, France
| | - C Berthier
- Laboratoire National des Champs Magnétiques Intenses, CNRS-Université Grenoble Alpes-UPS-INSA-EMFL, 38042 Grenoble, France
| | - A P Reyes
- National High Magnetic Field Laboratory, Florida State University, Tallahassee, Florida 32310, USA
| | - P L Kuhns
- National High Magnetic Field Laboratory, Florida State University, Tallahassee, Florida 32310, USA
| | - R Liang
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
- Canadian Institute for Advanced Research, Toronto M5G 1Z8, Canada
| | - W N Hardy
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
- Canadian Institute for Advanced Research, Toronto M5G 1Z8, Canada
| | - D A Bonn
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
- Canadian Institute for Advanced Research, Toronto M5G 1Z8, Canada
| | - M-H Julien
- Laboratoire National des Champs Magnétiques Intenses, CNRS-Université Grenoble Alpes-EMFL, 38042 Grenoble, France
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33
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Scanderbeg DJ, Taylor BJ, Baumbach RE, Paglione J, Maple MB. Electrical and thermal transport properties of the electron-doped cuprate Sm 2-x Ce x CuO 4-y system. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2016; 28:485702. [PMID: 27705951 DOI: 10.1088/0953-8984/28/48/485702] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
Electrical and thermal transport measurements were performed on thin films of the electron-doped superconductor Sm2-x Ce x CuO4-y (x = 0.13 - 0.19) in order to study the evolving nature of the charge carriers from the under-doped to over-doped regime. A temperature versus cerium content (T - x) phase diagram has been constructed from the electrical transport measurements, yielding a superconducting region similar to that found for other electron-doped superconductors. Thermopower measurements show a dramatic change from the underdoped region (x < 0.15) to the overdoped region (x > 0.15). Application of the Fisher-Fisher-Huse (FFH) vortex glass scaling model to the magnetoresistance data was found to be insufficient to describe the data in the region of the vortex-solid to vortex-liquid transition. It was found instead that the modified vortex glass scaling model of Rydh, Rapp, and Anderson provided a good description of the data, indicating the importance of the applied field on the pinning landscape. A magnetic field versus temperature (H - T) phase diagram has also been constructed for the films with [Formula: see text], displaying the evolution of the vortex glass melting lines H g (T) across the superconducting regime.
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34
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Ekino T, Gabovich AM, Suan Li M, Szymczak H, Voitenko AI. Influence of the spatially inhomogeneous gap distribution on the quasiparticle current in c-axis junctions involving d-wave superconductors with charge density waves. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2016; 28:445701. [PMID: 27604150 DOI: 10.1088/0953-8984/28/44/445701] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
The quasiparticle tunnel current J(V) between the superconducting ab-planes along the c-axis and the corresponding conductance [Formula: see text] were calculated for symmetric junctions composed of disordered d-wave layered superconductors partially gapped by charge density waves (CDWs). Here, V is the voltage. Both the checkerboard and unidirectional CDWs were considered. It was shown that the spatial spread of the CDW-pairing strength substantially smears the peculiarities of G(V) appropriate to uniform superconductors. The resulting curves G(V) become very similar to those observed for a number of cuprates in intrinsic junctions, e.g. mesas. In particular, the influence of CDWs may explain the peak-dip-hump structures frequently found for high-T c oxides.
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Affiliation(s)
- T Ekino
- Hiroshima University, Graduate School of Integrated Arts and Sciences, Higashi-Hiroshima, 739-8521, Japan
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35
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Chen XM, Thampy V, Mazzoli C, Barbour AM, Miao H, Gu GD, Cao Y, Tranquada JM, Dean MPM, Wilkins SB. Remarkable Stability of Charge Density Wave Order in La_{1.875}Ba_{0.125}CuO_{4}. PHYSICAL REVIEW LETTERS 2016; 117:167001. [PMID: 27792368 DOI: 10.1103/physrevlett.117.167001] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/13/2016] [Indexed: 06/06/2023]
Abstract
The occurrence of charge-density-wave (CDW) order in underdoped cuprates is now well established, although the precise nature of the CDW and its relationship with superconductivity is not. Theoretical proposals include contrasting ideas such as that pairing may be driven by CDW fluctuations or that static CDWs may intertwine with a spatially modulated superconducting wave function. We test the dynamics of CDW order in La_{1.825}Ba_{0.125}CuO_{4} by using x-ray photon correlation spectroscopy at the CDW wave vector, detected resonantly at the Cu L_{3} edge. We find that the CDW domains are strikingly static, with no evidence of significant fluctuations up to 2 ¾ h. We discuss the implications of these results for some of the competing theories.
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Affiliation(s)
- X M Chen
- Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - V Thampy
- Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - C Mazzoli
- National Synchrotron Light Source II, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - A M Barbour
- National Synchrotron Light Source II, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - H Miao
- Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - G D Gu
- Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - Y Cao
- Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - J M Tranquada
- Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - M P M Dean
- Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - S B Wilkins
- National Synchrotron Light Source II, Brookhaven National Laboratory, Upton, New York 11973, USA
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36
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Gyenis A, da Silva Neto EH, Sutarto R, Schierle E, He F, Weschke E, Kavai M, Baumbach RE, Thompson JD, Bauer ED, Fisk Z, Damascelli A, Yazdani A, Aynajian P. Quasi-particle interference of heavy fermions in resonant x-ray scattering. SCIENCE ADVANCES 2016; 2:e1601086. [PMID: 27757422 PMCID: PMC5065254 DOI: 10.1126/sciadv.1601086] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 05/13/2016] [Accepted: 09/16/2016] [Indexed: 06/06/2023]
Abstract
Resonant x-ray scattering (RXS) has recently become an increasingly important tool for the study of ordering phenomena in correlated electron systems. Yet, the interpretation of RXS experiments remains theoretically challenging because of the complexity of the RXS cross section. Central to this debate is the recent proposal that impurity-induced Friedel oscillations, akin to quasi-particle interference signals observed with a scanning tunneling microscope (STM), can lead to scattering peaks in RXS experiments. The possibility that quasi-particle properties can be probed in RXS measurements opens up a new avenue to study the bulk band structure of materials with the orbital and element selectivity provided by RXS. We test these ideas by combining RXS and STM measurements of the heavy fermion compound CeMIn5 (M = Co, Rh). Temperature- and doping-dependent RXS measurements at the Ce-M4 edge show a broad scattering enhancement that correlates with the appearance of heavy f-electron bands in these compounds. The scattering enhancement is consistent with the measured quasi-particle interference signal in the STM measurements, indicating that the quasi-particle interference can be probed through the momentum distribution of RXS signals. Overall, our experiments demonstrate new opportunities for studies of correlated electronic systems using the RXS technique.
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Affiliation(s)
- András Gyenis
- Joseph Henry Laboratories and Department of Physics, Princeton University, Princeton, NJ 08544, USA
| | - Eduardo H. da Silva Neto
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
- Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada
- Max Planck Institute for Solid State Research, Heisenbergstrasse 1, D-70569 Stuttgart, Germany
- Quantum Materials Program, Canadian Institute for Advanced Research, Toronto, Ontario M5G 1Z8, Canada
| | - Ronny Sutarto
- Canadian Light Source, Saskatoon, Saskatchewan S7N 2V3, Canada
| | - Enrico Schierle
- Helmholtz-Zentrum Berlin fürMaterialien und Energie, Albert-Einstein-Strasse 15, D-12489 Berlin, Germany
| | - Feizhou He
- Helmholtz-Zentrum Berlin fürMaterialien und Energie, Albert-Einstein-Strasse 15, D-12489 Berlin, Germany
| | - Eugen Weschke
- Helmholtz-Zentrum Berlin fürMaterialien und Energie, Albert-Einstein-Strasse 15, D-12489 Berlin, Germany
| | - Mariam Kavai
- Department of Physics, Applied Physics and Astronomy, Binghamton University, Binghamton, NY 13902, USA
| | | | | | - Eric D. Bauer
- Los Alamos National Laboratory, Los Alamos, NM 87545, USA
| | - Zachary Fisk
- Department of Physics and Astronomy, University of California, Irvine, Irvine, CA 92697, USA
| | - Andrea Damascelli
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
- Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada
| | - Ali Yazdani
- Joseph Henry Laboratories and Department of Physics, Princeton University, Princeton, NJ 08544, USA
| | - Pegor Aynajian
- Department of Physics, Applied Physics and Astronomy, Binghamton University, Binghamton, NY 13902, USA
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37
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Chen CW, Choe J, Morosan E. Charge density waves in strongly correlated electron systems. REPORTS ON PROGRESS IN PHYSICS. PHYSICAL SOCIETY (GREAT BRITAIN) 2016; 79:084505. [PMID: 27376547 DOI: 10.1088/0034-4885/79/8/084505] [Citation(s) in RCA: 26] [Impact Index Per Article: 3.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/06/2023]
Abstract
Strong electron correlations are at the heart of many physical phenomena of current interest to the condensed matter community. Here we present a survey of the mechanisms underlying such correlations in charge density wave (CDW) systems, including the current theoretical understanding and experimental evidence for CDW transitions. The focus is on emergent phenomena that result as CDWs interact with other charge or spin states, such as magnetism and superconductivity. In addition to reviewing the CDW mechanisms in 1D, 2D, and 3D systems, we pay particular attention to the prevalence of this state in two particular classes of compounds, the high temperature superconductors (cuprates) and the layered transition metal dichalcogenides. The possibilities for quantum criticality resulting from the competition between magnetic fluctuations and electronic instabilities (CDW, unconventional superconductivity) are also discussed.
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Affiliation(s)
- Chih-Wei Chen
- Department of Physics and Astronomy, 6100 Main Street, Rice University, Houston, TX 77005, USA
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38
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da Silva Neto EH, Yu B, Minola M, Sutarto R, Schierle E, Boschini F, Zonno M, Bluschke M, Higgins J, Li Y, Yu G, Weschke E, He F, Le Tacon M, Greene RL, Greven M, Sawatzky GA, Keimer B, Damascelli A. Doping-dependent charge order correlations in electron-doped cuprates. SCIENCE ADVANCES 2016; 2:e1600782. [PMID: 27536726 PMCID: PMC4982707 DOI: 10.1126/sciadv.1600782] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/13/2016] [Accepted: 07/14/2016] [Indexed: 05/25/2023]
Abstract
Understanding the interplay between charge order (CO) and other phenomena (for example, pseudogap, antiferromagnetism, and superconductivity) is one of the central questions in the cuprate high-temperature superconductors. The discovery that similar forms of CO exist in both hole- and electron-doped cuprates opened a path to determine what subset of the CO phenomenology is universal to all the cuprates. We use resonant x-ray scattering to measure the CO correlations in electron-doped cuprates (La2-x Ce x CuO4 and Nd2-x Ce x CuO4) and their relationship to antiferromagnetism, pseudogap, and superconductivity. Detailed measurements of Nd2-x Ce x CuO4 show that CO is present in the x = 0.059 to 0.166 range and that its doping-dependent wave vector is consistent with the separation between straight segments of the Fermi surface. The CO onset temperature is highest between x = 0.106 and 0.166 but decreases at lower doping levels, indicating that it is not tied to the appearance of antiferromagnetic correlations or the pseudogap. Near optimal doping, where the CO wave vector is also consistent with a previously observed phonon anomaly, measurements of the CO below and above the superconducting transition temperature, or in a magnetic field, show that the CO is insensitive to superconductivity. Overall, these findings indicate that, although verified in the electron-doped cuprates, material-dependent details determine whether the CO correlations acquire sufficient strength to compete for the ground state of the cuprates.
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Affiliation(s)
- Eduardo H. da Silva Neto
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
- Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada
- Max Planck Institute for Solid State Research, Heisenbergstrasse 1, D-70569 Stuttgart, Germany
- Quantum Materials Program, Canadian Institute for Advanced Research, Toronto, Ontario M5G 1Z8, Canada
| | - Biqiong Yu
- School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455, USA
| | - Matteo Minola
- Max Planck Institute for Solid State Research, Heisenbergstrasse 1, D-70569 Stuttgart, Germany
| | - Ronny Sutarto
- Canadian Light Source, Saskatoon, Saskatchewan S7N 2V3, Canada
| | - Enrico Schierle
- Helmholtz-Zentrum Berlin für Materialien und Energie, Albert-Einstein-Strasse 15, D-12489 Berlin, Germany
| | - Fabio Boschini
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
- Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada
| | - Marta Zonno
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
- Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada
| | - Martin Bluschke
- Max Planck Institute for Solid State Research, Heisenbergstrasse 1, D-70569 Stuttgart, Germany
- Helmholtz-Zentrum Berlin für Materialien und Energie, Albert-Einstein-Strasse 15, D-12489 Berlin, Germany
| | - Joshua Higgins
- Center for Nanophysics and Advanced Materials, University of Maryland, College Park, MD 20742, USA
| | - Yangmu Li
- School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455, USA
| | - Guichuan Yu
- School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455, USA
| | - Eugen Weschke
- Helmholtz-Zentrum Berlin für Materialien und Energie, Albert-Einstein-Strasse 15, D-12489 Berlin, Germany
| | - Feizhou He
- Canadian Light Source, Saskatoon, Saskatchewan S7N 2V3, Canada
| | - Mathieu Le Tacon
- Max Planck Institute for Solid State Research, Heisenbergstrasse 1, D-70569 Stuttgart, Germany
- Institut für Festkörperphysik, Karlsruher Institut für Technologie, 76201 Karlsruhe, Germany
| | - Richard L. Greene
- Center for Nanophysics and Advanced Materials, University of Maryland, College Park, MD 20742, USA
| | - Martin Greven
- School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455, USA
| | - George A. Sawatzky
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
- Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada
| | - Bernhard Keimer
- Max Planck Institute for Solid State Research, Heisenbergstrasse 1, D-70569 Stuttgart, Germany
| | - Andrea Damascelli
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada
- Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada
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39
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Fluctuating Charge Order: A Universal Phenomenon in Unconventional Superconductivity? Symmetry (Basel) 2016. [DOI: 10.3390/sym8060045] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
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40
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Mou D, Sapkota A, Kung HH, Krapivin V, Wu Y, Kreyssig A, Zhou X, Goldman AI, Blumberg G, Flint R, Kaminski A. Discovery of an Unconventional Charge Density Wave at the Surface of K_{0.9}Mo_{6}O_{17}. PHYSICAL REVIEW LETTERS 2016; 116:196401. [PMID: 27232028 DOI: 10.1103/physrevlett.116.196401] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/08/2016] [Indexed: 06/05/2023]
Abstract
We use angle resolved photoemission spectroscopy, Raman spectroscopy, low energy electron diffraction, and x-ray scattering to reveal an unusual electronically mediated charge density wave (CDW) in K_{0.9}Mo_{6}O_{17}. Not only does K_{0.9}Mo_{6}O_{17} lack signatures of electron-phonon coupling, but it also hosts an extraordinary surface CDW, with T_{S_CDW}=220 K nearly twice that of the bulk CDW, T_{B_CDW}=115 K. While the bulk CDW has a BCS-like gap of 12 meV, the surface gap is 10 times larger and well in the strong coupling regime. Strong coupling behavior combined with the absence of signatures of strong electron-phonon coupling indicates that the CDW is likely mediated by electronic interactions enhanced by low dimensionality.
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Affiliation(s)
- Daixiang Mou
- Division of Materials Science and Engineering, Ames Laboratory, U.S. Department of Energy, Ames, Iowa 50011, USA
- Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA
| | - A Sapkota
- Division of Materials Science and Engineering, Ames Laboratory, U.S. Department of Energy, Ames, Iowa 50011, USA
- Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA
| | - H-H Kung
- Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854, USA
| | - Viktor Krapivin
- Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854, USA
| | - Yun Wu
- Division of Materials Science and Engineering, Ames Laboratory, U.S. Department of Energy, Ames, Iowa 50011, USA
- Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA
| | - A Kreyssig
- Division of Materials Science and Engineering, Ames Laboratory, U.S. Department of Energy, Ames, Iowa 50011, USA
- Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA
| | - Xingjiang Zhou
- National Laboratory for Superconductivity, Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - A I Goldman
- Division of Materials Science and Engineering, Ames Laboratory, U.S. Department of Energy, Ames, Iowa 50011, USA
- Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA
| | - G Blumberg
- Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854, USA
- National Institute of Chemical Physics and Biophysics, 12618 Tallinn, Estonia
| | - Rebecca Flint
- Division of Materials Science and Engineering, Ames Laboratory, U.S. Department of Energy, Ames, Iowa 50011, USA
- Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA
| | - Adam Kaminski
- Division of Materials Science and Engineering, Ames Laboratory, U.S. Department of Energy, Ames, Iowa 50011, USA
- Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA
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41
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Observation of a three-dimensional quasi-long-range electronic supermodulation in YBa2Cu3O(7-x)/La0.7Ca0.3MnO3 heterostructures. Nat Commun 2016; 7:10852. [PMID: 26927313 PMCID: PMC4773509 DOI: 10.1038/ncomms10852] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/21/2015] [Accepted: 01/27/2016] [Indexed: 11/23/2022] Open
Abstract
Recent developments in high-temperature superconductivity highlight a generic tendency of the cuprates to develop competing electronic (charge) supermodulations. While coupled with the lattice and showing different characteristics in different materials, these supermodulations themselves are generally conceived to be quasi-two-dimensional, residing mainly in individual CuO2 planes, and poorly correlated along the c axis. Here we observed with resonant elastic X-ray scattering a distinct type of electronic supermodulation in YBa2Cu3O7−x (YBCO) thin films grown epitaxially on La0.7Ca0.3MnO3 (LCMO). This supermodulation has a periodicity nearly commensurate with four lattice constants in-plane, eight out of plane, with long correlation lengths in three dimensions. It sets in far above the superconducting transition temperature and competes with superconductivity below this temperature for electronic states predominantly in the CuO2 plane. Our finding sheds light on the nature of charge ordering in cuprates as well as a reported long-range proximity effect between superconductivity and ferromagnetism in YBCO/LCMO heterostructures. Understanding the nature of competing phases is a key to understanding the superconducting mechanism of unconventional superconductors. Here, the authors demonstrate a three-dimensional charge ordering state which competes with superconductivity in epitaxial YBa2Cu3O7-x thin films grown on La0.7Ca0.3MnO3 substrates.
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42
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Direct observation of charge state in the quasi-one-dimensional conductor Li0.9Mo6O17. Sci Rep 2016; 6:20721. [PMID: 26853454 PMCID: PMC4745083 DOI: 10.1038/srep20721] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/26/2015] [Accepted: 01/11/2016] [Indexed: 11/08/2022] Open
Abstract
The quasi-one-dimensional conductor Li0.9Mo6O17 has been of great interest because of its unusual properties. It has a conducting phase with properties different from a simple Fermi liquid, a poorly understood “insulating” phase as indicated by a metal-“insulator” crossover (a mystery for over 30 years), and a superconducting phase which may involve spin triplet Cooper pairs as a three-dimensional (p-wave) non-conventional superconductor. Recent evidence suggests a density wave (DW) gapping regarding the metal-“insulator” crossover. However, the nature of the DW, such as whether it is due to the change in the charge state or spin state, and its relationship to the dimensional crossover and to the spin triplet superconductivity, remains elusive. Here by performing 7Li-/95Mo-nuclear magnetic resonance (NMR) spectroscopy, we directly observed the charge state which shows no signature of change in the electric field gradient (nuclear quadrupolar frequency) or in the distribution of it, thus providing direct experimental evidences demonstrating that the long mysterious metal-“insulator” crossover is not due to the charge density wave (CDW) that was thought, and the nature of the DW gapping is not CDW. This discovery opens a parallel path to the study of the electron spin state and its possible connections to other unusual properties.
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43
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Suppression of the antiferromagnetic pseudogap in the electron-doped high-temperature superconductor by protect annealing. Nat Commun 2016; 7:10567. [PMID: 26843063 PMCID: PMC4743021 DOI: 10.1038/ncomms10567] [Citation(s) in RCA: 69] [Impact Index Per Article: 8.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/03/2015] [Accepted: 12/26/2015] [Indexed: 11/15/2022] Open
Abstract
In the hole-doped cuprates, a small number of carriers suppresses antiferromagnetism and induces superconductivity. In the electron-doped cuprates, on the other hand, superconductivity appears only in a narrow window of high-doped Ce concentration after reduction annealing, and strong antiferromagnetic correlation persists in the superconducting phase. Recently, Pr1.3−xLa0.7CexCuO4 (PLCCO) bulk single crystals annealed by a protect annealing method showed a high critical temperature of around 27 K for small Ce content down to 0.05. Here, by angle-resolved photoemission spectroscopy measurements of PLCCO crystals, we observed a sharp quasi-particle peak on the entire Fermi surface without signature of an antiferromagnetic pseudogap unlike all the previous work, indicating a dramatic reduction of antiferromagnetic correlation length and/or of magnetic moments. The superconducting state was found to extend over a wide electron concentration range. The present results fundamentally challenge the long-standing picture on the electronic structure in the electron-doped regime. In cuprates, superconductivity exists in a narrow window at high electron doping concentration with strong antiferromagnetic correlations. Here, the authors demonstrate superconductivity with no effect of antiferromagnetic order in a cuprate for a wide electron doping range following a protect anneal process.
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44
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Hansmann P, Ayral T, Tejeda A, Biermann S. Uncertainty principle for experimental measurements: Fast versus slow probes. Sci Rep 2016; 6:19728. [PMID: 26829902 PMCID: PMC4735290 DOI: 10.1038/srep19728] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/05/2015] [Accepted: 12/17/2015] [Indexed: 11/10/2022] Open
Abstract
The result of a physical measurement depends on the time scale of the experimental probe. In solid-state systems, this simple quantum mechanical principle has far-reaching consequences: the interplay of several degrees of freedom close to charge, spin or orbital instabilities combined with the disparity of the time scales associated to their fluctuations can lead to seemingly contradictory experimental findings. A particularly striking example is provided by systems of adatoms adsorbed on semiconductor surfaces where different experiments--angle-resolved photoemission, scanning tunneling microscopy and core-level spectroscopy--suggest different ordering phenomena. Using most recent first principles many-body techniques, we resolve this puzzle by invoking the time scales of fluctuations when approaching the different instabilities. These findings suggest a re-interpretation of ordering phenomena and their fluctuations in a wide class of solid-state systems ranging from organic materials to high-temperature superconducting cuprates.
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Affiliation(s)
- P Hansmann
- Centre de Physique Théorique, Ecole Polytechnique, CNRS, Univ. Paris-Saclay, 91128 Palaiseau, France.,Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, 70569 Stuttgart, Germany
| | - T Ayral
- Centre de Physique Théorique, Ecole Polytechnique, CNRS, Univ. Paris-Saclay, 91128 Palaiseau, France.,Institut de Physique Théorique (IPhT), CEA, CNRS, URA 2306, 91191 Gif-sur-Yvette, France
| | - A Tejeda
- Laboratoire de Physique des Solides, CNRS, Univ. Paris Sud, Univ. Paris-Saclay, 91405 Orsay, France
| | - S Biermann
- Centre de Physique Théorique, Ecole Polytechnique, CNRS, Univ. Paris-Saclay, 91128 Palaiseau, France.,Collège de France, 11 place Marcelin Berthelot, 75005 Paris, France.,European Theoretical Synchrotron Facility, Europe
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45
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Tu WL, Lee TK. Genesis of charge orders in high temperature superconductors. Sci Rep 2016; 6:18675. [PMID: 26732076 PMCID: PMC4702086 DOI: 10.1038/srep18675] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/17/2015] [Accepted: 11/23/2015] [Indexed: 11/10/2022] Open
Abstract
One of the most puzzling facts about cuprate high-temperature superconductors in the lightly doped regime is the coexistence of uniform superconductivity and/or antiferromagnetism with many low-energy charge-ordered states in a unidirectional charge density wave or a bidirectional checkerboard structure. Recent experiments have discovered that these charge density waves exhibit different symmetries in their intra-unit-cell form factors for different cuprate families. Using a renormalized mean-field theory for a well-known, strongly correlated model of cuprates, we obtain a number of charge-ordered states with nearly degenerate energies without invoking special features of the Fermi surface. All of these self-consistent solutions have a pair density wave intertwined with a charge density wave and sometimes a spin density wave. Most of these states vanish in the underdoped regime, except for one with a large d-form factor that vanishes at approximately 19% doping of the holes, as reported by experiments. Furthermore, these states could be modified to have a global superconducting order, with a nodal-like density of states at low energy.
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Affiliation(s)
- Wei-Lin Tu
- Department of Physics, National Taiwan University, Daan Taipei 10617, Taiwan
- Institute of Physics, Academia Sinica, Nankang Taipei 11529, Taiwan
| | - Ting-Kuo Lee
- Institute of Physics, Academia Sinica, Nankang Taipei 11529, Taiwan
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46
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The microscopic structure of charge density waves in underdoped YBa2Cu3O6.54 revealed by X-ray diffraction. Nat Commun 2015; 6:10064. [PMID: 26648114 PMCID: PMC4682044 DOI: 10.1038/ncomms10064] [Citation(s) in RCA: 68] [Impact Index Per Article: 7.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/05/2015] [Accepted: 10/30/2015] [Indexed: 11/09/2022] Open
Abstract
Charge density wave (CDW) order appears throughout the underdoped high-temperature cuprate superconductors, but the underlying symmetry breaking and the origin of the CDW remain unclear. We use X-ray diffraction to determine the microscopic structure of the CDWs in an archetypical cuprate YBa2Cu3O6.54 at its superconducting transition temperature ∼60 K. We find that the CDWs in this material break the mirror symmetry of the CuO2 bilayers. The ionic displacements in the CDWs have two components, which are perpendicular and parallel to the CuO2 planes, and are out of phase with each other. The planar oxygen atoms have the largest displacements, perpendicular to the CuO2 planes. Our results allow many electronic properties of the underdoped cuprates to be understood. For instance, the CDWs will lead to local variations in the electronic structure, giving an explicit explanation of density-wave states with broken symmetry observed in scanning tunnelling microscopy and soft X-ray measurements. Near to the superconducting state, cuprates display spatially-periodic charge density variations. Here, the authors use x-ray diffraction to determine the microscopic structure, showing how charge density waves in underdoped YBa2Cu3O6.54 break the symmetry of the superconducting layers.
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47
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Gerber S, Jang H, Nojiri H, Matsuzawa S, Yasumura H, Bonn DA, Liang R, Hardy WN, Islam Z, Mehta A, Song S, Sikorski M, Stefanescu D, Feng Y, Kivelson SA, Devereaux TP, Shen ZX, Kao CC, Lee WS, Zhu D, Lee JS. Three-dimensional charge density wave order in YBa2Cu3O6.67 at high magnetic fields. Science 2015; 350:949-52. [PMID: 26541608 DOI: 10.1126/science.aac6257] [Citation(s) in RCA: 97] [Impact Index Per Article: 10.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/21/2015] [Accepted: 09/30/2015] [Indexed: 11/02/2022]
Abstract
Charge density wave (CDW) correlations have been shown to universally exist in cuprate superconductors. However, their nature at high fields inferred from nuclear magnetic resonance is distinct from that measured with x-ray scattering at zero and low fields. We combined a pulsed magnet with an x-ray free-electron laser to characterize the CDW in YBa2Cu3O6.67 via x-ray scattering in fields of up to 28 tesla. While the zero-field CDW order, which develops at temperatures below ~150 kelvin, is essentially two dimensional, at lower temperature and beyond 15 tesla, another three-dimensionally ordered CDW emerges. The field-induced CDW appears around the zero-field superconducting transition temperature; in contrast, the incommensurate in-plane ordering vector is field-independent. This implies that the two forms of CDW and high-temperature superconductivity are intimately linked.
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Affiliation(s)
- S Gerber
- Stanford Institute for Materials and Energy Science, SLAC National Accelerator Laboratory and Stanford University, Menlo Park, CA 94025, USA
| | - H Jang
- Stanford Synchrotron Radiation Lightsource, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - H Nojiri
- Institute for Materials Research, Tohoku University, Katahira 2-1-1, Sendai, 980-8577, Japan
| | - S Matsuzawa
- Institute for Materials Research, Tohoku University, Katahira 2-1-1, Sendai, 980-8577, Japan
| | - H Yasumura
- Institute for Materials Research, Tohoku University, Katahira 2-1-1, Sendai, 980-8577, Japan
| | - D A Bonn
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada. Canadian Institute for Advanced Research, Toronto, Ontario M5G 1Z8, Canada
| | - R Liang
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada. Canadian Institute for Advanced Research, Toronto, Ontario M5G 1Z8, Canada
| | - W N Hardy
- Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada. Canadian Institute for Advanced Research, Toronto, Ontario M5G 1Z8, Canada
| | - Z Islam
- The Advanced Photon Source, Argonne National Laboratory, Argonne, IL 60439, USA
| | - A Mehta
- Stanford Synchrotron Radiation Lightsource, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - S Song
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - M Sikorski
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - D Stefanescu
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - Y Feng
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - S A Kivelson
- Geballe Laboratory for Advanced Materials, Departments of Physics and Applied Physics, Stanford University, Stanford, CA 94305, USA
| | - T P Devereaux
- Stanford Institute for Materials and Energy Science, SLAC National Accelerator Laboratory and Stanford University, Menlo Park, CA 94025, USA
| | - Z-X Shen
- Stanford Institute for Materials and Energy Science, SLAC National Accelerator Laboratory and Stanford University, Menlo Park, CA 94025, USA. Geballe Laboratory for Advanced Materials, Departments of Physics and Applied Physics, Stanford University, Stanford, CA 94305, USA
| | - C-C Kao
- SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA
| | - W-S Lee
- Stanford Institute for Materials and Energy Science, SLAC National Accelerator Laboratory and Stanford University, Menlo Park, CA 94025, USA.
| | - D Zhu
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA.
| | - J-S Lee
- Stanford Synchrotron Radiation Lightsource, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, USA.
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48
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Comin R, Sutarto R, He F, da Silva Neto EH, Chauviere L, Fraño A, Liang R, Hardy WN, Bonn DA, Yoshida Y, Eisaki H, Achkar AJ, Hawthorn DG, Keimer B, Sawatzky GA, Damascelli A. Symmetry of charge order in cuprates. NATURE MATERIALS 2015; 14:796-800. [PMID: 26006005 DOI: 10.1038/nmat4295] [Citation(s) in RCA: 23] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 02/05/2014] [Accepted: 04/16/2015] [Indexed: 05/23/2023]
Abstract
Charge-ordered ground states permeate the phenomenology of 3d-based transition metal oxides, and more generally represent a distinctive hallmark of strongly correlated states of matter. The recent discovery of charge order in various cuprate families has fuelled new interest into the role played by this incipient broken symmetry within the complex phase diagram of high-T(c) superconductors. Here, we use resonant X-ray scattering to resolve the main characteristics of the charge-modulated state in two cuprate families: Bi2Sr(2-x)La(x)CuO(6+δ) (Bi2201) and YBa2Cu3O(6+y) (YBCO). We detect no signatures of spatial modulations along the nodal direction in Bi2201, thus clarifying the inter-unit-cell momentum structure of charge order. We also resolve the intra-unit-cell symmetry of the charge-ordered state, which is revealed to be best represented by a bond order with modulated charges on the O-2p orbitals and a prominent d-wave character. These results provide insights into the origin and microscopic description of charge order in cuprates, and its interplay with superconductivity.
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Affiliation(s)
- R Comin
- 1] Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada [2] Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada
| | - R Sutarto
- Canadian Light Source, Saskatoon, Saskatchewan S7N 2V3, Canada
| | - F He
- Canadian Light Source, Saskatoon, Saskatchewan S7N 2V3, Canada
| | - E H da Silva Neto
- 1] Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada [2] Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada [3] Max Planck Institute for Solid State Research, Heisenbergstrasse 1, D-70569 Stuttgart, Germany [4] Quantum Materials Program, Canadian Institute for Advanced Research, Toronto, Ontario M5G 1Z8, Canada
| | - L Chauviere
- 1] Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada [2] Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada [3] Max Planck Institute for Solid State Research, Heisenbergstrasse 1, D-70569 Stuttgart, Germany
| | - A Fraño
- 1] Max Planck Institute for Solid State Research, Heisenbergstrasse 1, D-70569 Stuttgart, Germany [2] Helmholtz-Zentrum Berlin für Materialien und Energie, Albert-Einstein Straße 15, 12489 Berlin, Germany
| | - R Liang
- 1] Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada [2] Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada
| | - W N Hardy
- 1] Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada [2] Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada
| | - D A Bonn
- 1] Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada [2] Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada
| | - Y Yoshida
- National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba 305-8568, Japan
| | - H Eisaki
- National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba 305-8568, Japan
| | - A J Achkar
- Department of Physics and Astronomy, University of Waterloo, Waterloo N2L 3G1, Canada
| | - D G Hawthorn
- Department of Physics and Astronomy, University of Waterloo, Waterloo N2L 3G1, Canada
| | - B Keimer
- Max Planck Institute for Solid State Research, Heisenbergstrasse 1, D-70569 Stuttgart, Germany
| | - G A Sawatzky
- 1] Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada [2] Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada
| | - A Damascelli
- 1] Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia V6T 1Z1, Canada [2] Quantum Matter Institute, University of British Columbia, Vancouver, British Columbia V6T 1Z4, Canada
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