1
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Wang HH, Xiong Y, Padma H, Wang Y, Wang Z, Claes R, Brunin G, Min L, Zu R, Wetherington MT, Wang Y, Mao Z, Hautier G, Chen LQ, Dabo I, Gopalan V. Strong electron-phonon coupling driven pseudogap modulation and density-wave fluctuations in a correlated polar metal. Nat Commun 2023; 14:5769. [PMID: 37723139 PMCID: PMC10507017 DOI: 10.1038/s41467-023-41460-x] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 12/21/2022] [Accepted: 09/01/2023] [Indexed: 09/20/2023] Open
Abstract
There is tremendous interest in employing collective excitations of the lattice, spin, charge, and orbitals to tune strongly correlated electronic phenomena. We report such an effect in a ruthenate, Ca3Ru2O7, where two phonons with strong electron-phonon coupling modulate the electronic pseudogap as well as mediate charge and spin density wave fluctuations. Combining temperature-dependent Raman spectroscopy with density functional theory reveals two phonons, B2P and B2M, that are strongly coupled to electrons and whose scattering intensities respectively dominate in the pseudogap versus the metallic phases. The B2P squeezes the octahedra along the out of plane c-axis, while the B2M elongates it, thus modulating the Ru 4d orbital splitting and the bandwidth of the in-plane electron hopping; Thus, B2P opens the pseudogap, while B2M closes it. Moreover, the B2 phonons mediate incoherent charge and spin density wave fluctuations, as evidenced by changes in the background electronic Raman scattering that exhibit unique symmetry signatures. The polar order breaks inversion symmetry, enabling infrared activity of these phonons, paving the way for coherent light-driven control of electronic transport.
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Affiliation(s)
- Huaiyu Hugo Wang
- Materials Research Institute and Department of Material Science & Engineering, Pennsylvania State University, University Park, PA, 16802, USA.
- Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA, 94025, USA.
| | - Yihuang Xiong
- Materials Research Institute and Department of Material Science & Engineering, Pennsylvania State University, University Park, PA, 16802, USA
- Thayer School of Engineering, Dartmouth College, 14 Engineering Drive, Hanover, NH, 03755, USA
| | - Hari Padma
- Materials Research Institute and Department of Material Science & Engineering, Pennsylvania State University, University Park, PA, 16802, USA
| | - Yi Wang
- Materials Research Institute and Department of Material Science & Engineering, Pennsylvania State University, University Park, PA, 16802, USA
| | - Ziqi Wang
- Materials Research Institute and Department of Material Science & Engineering, Pennsylvania State University, University Park, PA, 16802, USA
| | - Romain Claes
- Institute of Condensed Matter and Nanosciences (IMCN), Université catholique de Louvain, Chemin des Étoiles 8, B-1348, Louvain-la-Neuve, Belgium
| | | | - Lujin Min
- Materials Research Institute and Department of Material Science & Engineering, Pennsylvania State University, University Park, PA, 16802, USA
| | - Rui Zu
- Materials Research Institute and Department of Material Science & Engineering, Pennsylvania State University, University Park, PA, 16802, USA
| | - Maxwell T Wetherington
- Materials Research Institute and Department of Material Science & Engineering, Pennsylvania State University, University Park, PA, 16802, USA
| | - Yu Wang
- 2D Crystal Consortium, Material Research Institute, Pennsylvania State University, University Park, PA, 16802, USA
- Department of Physics, Pennsylvania State University, University Park, PA, 16802, USA
| | - Zhiqiang Mao
- 2D Crystal Consortium, Material Research Institute, Pennsylvania State University, University Park, PA, 16802, USA
- Department of Physics, Pennsylvania State University, University Park, PA, 16802, USA
| | - Geoffroy Hautier
- Thayer School of Engineering, Dartmouth College, 14 Engineering Drive, Hanover, NH, 03755, USA
- Institute of Condensed Matter and Nanosciences (IMCN), Université catholique de Louvain, Chemin des Étoiles 8, B-1348, Louvain-la-Neuve, Belgium
| | - Long-Qing Chen
- Materials Research Institute and Department of Material Science & Engineering, Pennsylvania State University, University Park, PA, 16802, USA
| | - Ismaila Dabo
- Materials Research Institute and Department of Material Science & Engineering, Pennsylvania State University, University Park, PA, 16802, USA.
| | - Venkatraman Gopalan
- Materials Research Institute and Department of Material Science & Engineering, Pennsylvania State University, University Park, PA, 16802, USA.
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2
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Fabrizio M. Spin-Liquid Insulators Can Be Landau's Fermi Liquids. PHYSICAL REVIEW LETTERS 2023; 130:156702. [PMID: 37115899 DOI: 10.1103/physrevlett.130.156702] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/28/2022] [Accepted: 03/23/2023] [Indexed: 06/19/2023]
Abstract
The long search for insulating materials that possess low-energy quasiparticles carrying electron's quantum numbers except charge-inspired by the neutral spin-1/2 excitations, the so-called spinons, exhibited by Anderson's resonating-valence-bond state-seems to have reached a turning point after the discovery of several Mott insulators displaying the same thermal and magnetic properties as metals, including quantum oscillations in a magnetic field. Here, we show that such anomalous behavior is not inconsistent with Landau's Fermi liquid theory of quasiparticles at a Luttinger surface. That is the manifold of zeros within the Brillouin zone of the single-particle Green's function at zero frequency, and which thus defines the spinon Fermi surface conjectured by Anderson.
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Affiliation(s)
- Michele Fabrizio
- International School for Advanced Studies (SISSA), Via Bonomea 265, I-34136 Trieste, Italy
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3
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Harrison N, Chan MK. Magic Gap Ratio for Optimally Robust Fermionic Condensation and Its Implications for High-T_{c} Superconductivity. PHYSICAL REVIEW LETTERS 2022; 129:017001. [PMID: 35841553 DOI: 10.1103/physrevlett.129.017001] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/26/2021] [Revised: 03/22/2022] [Accepted: 05/24/2022] [Indexed: 06/15/2023]
Abstract
Bardeen-Schrieffer-Cooper (BCS) and Bose-Einstein condensation (BEC) occur at opposite limits of a continuum of pairing interaction strength between fermions. A crossover between these limits is readily observed in a cold atomic Fermi gas. Whether it occurs in other systems such as the high temperature superconducting cuprates has remained an open question. We uncover here unambiguous evidence for a BCS-BEC crossover in the cuprates by identifying a universal magic gap ratio 2Δ/k_{B}T_{c}≈6.5 (where Δ is the pairing gap and T_{c} is the transition temperature) at which paired fermion condensates become optimally robust. At this gap ratio, corresponding to the unitary point in a cold atomic Fermi gas, the measured condensate fraction N_{0} and the height of the jump δγ(T_{c}) in the coefficient γ of the fermionic specific heat at T_{c} are strongly peaked. In the cuprates, δγ(T_{c}) is peaked at this gap ratio when Δ corresponds to the antinodal spectroscopic gap, thus reinforcing its interpretation as the pairing gap. We find the peak in δγ(T_{c}) also to coincide with a normal state maximum in γ, which is indicative of a pairing fluctuation pseudogap above T_{c}.
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Affiliation(s)
- N Harrison
- National High Magnetic Field Laboratory, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - M K Chan
- National High Magnetic Field Laboratory, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
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4
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Fabrizio M. Emergent quasiparticles at Luttinger surfaces. Nat Commun 2022; 13:1561. [PMID: 35322010 PMCID: PMC8943186 DOI: 10.1038/s41467-022-29190-y] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/11/2021] [Accepted: 02/11/2022] [Indexed: 12/01/2022] Open
Abstract
In periodic systems of interacting electrons, Fermi and Luttinger surfaces refer to the locations within the Brillouin zone of poles and zeros, respectively, of the single-particle Green’s function at zero energy and temperature. Such difference in analytic properties underlies the emergence of well-defined quasiparticles close to a Fermi surface, in contrast to their supposed non-existence close to a Luttinger surface, where the single-particle density-of-states vanishes at zero energy. We here show that, contrary to such common belief, dispersive ‘quasiparticles’ with infinite lifetime do exist also close to a pseudo-gapped Luttinger surface. Thermodynamic and dynamic properties of such ‘quasiparticles’ are just those of conventional ones. For instance, they yield well-defined quantum oscillations in Luttinger surface and linear-in-temperature specific heat, which is striking given the vanishing density of states of physical electrons, but actually not uncommon in strongly correlated materials. The analytic properties of Fermi surfaces give rise to quasiparticles. Now, it is shown that similarly, quasiparticles can be associated with Luttinger surfaces - the locations in the Brillouin zone of zeros of the single-particle Green’s function at zero energy and temperature.
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Affiliation(s)
- Michele Fabrizio
- International School for Advanced Studies (SISSA), Via Bonomea 265, 34136, Trieste, Italy.
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5
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Abstract
Superconductivity has been discovered recently in infinite-layer nickel-based 112 thin films R1−xAxNiO2 (R = La, Nd, Pr and A = Sr, Ca). They are isostructural to the infinite-layer cuprate (Ca,Sr)CuO2 and are supposed to have a formal Ni 3d9 valence, thus providing a new platform to study the unconventional pairing mechanism of high-temperature superconductors. This important discovery immediately triggers a huge amount of innovative scientific curiosity in the field. In this paper, we try to give an overview of the recent research progress on the newly found superconducting nickelate systems, both from experimental and theoretical aspects. We mainly focus on the electronic structures, magnetic excitations, phase diagrams and superconducting gaps, and finally make some open discussions for possible pairing symmetries in Ni-based 112 systems. The infinite-layer nickel-based 112 thin films R1−xAxNiO2 can host superconductivity up to 15 K R1−xAxNiO2 is a multiband system, in which the short-range antiferromagnetic fluctuations can be detected R1−xAxNiO2 has an unconventional superconducting pairing sate with a robust d-wave gap and a full gap without unified understanding The nickelate system provides a new platform for researching unconventional superconductivity
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6
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Arpaia R, Caprara S, Fumagalli R, De Vecchi G, Peng YY, Andersson E, Betto D, De Luca GM, Brookes NB, Lombardi F, Salluzzo M, Braicovich L, Di Castro C, Grilli M, Ghiringhelli G. Dynamical charge density fluctuations pervading the phase diagram of a Cu-based high- T c superconductor. Science 2020; 365:906-910. [PMID: 31467219 DOI: 10.1126/science.aav1315] [Citation(s) in RCA: 38] [Impact Index Per Article: 9.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 08/16/2018] [Accepted: 07/30/2019] [Indexed: 11/02/2022]
Abstract
Charge density modulations have been observed in all families of high-critical temperature (T c) superconducting cuprates. Although they are consistently found in the underdoped region of the phase diagram and at relatively low temperatures, it is still unclear to what extent they influence the unusual properties of these systems. Using resonant x-ray scattering, we carefully determined the temperature dependence of charge density modulations in YBa2Cu3O7-δ and Nd1+ x Ba2- x Cu3O7-δ for several doping levels. We isolated short-range dynamical charge density fluctuations in addition to the previously known quasi-critical charge density waves. They persist up to well above the pseudogap temperature T*, are characterized by energies of a few milli-electron volts, and pervade a large area of the phase diagram.
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Affiliation(s)
- R Arpaia
- Dipartimento di Fisica, Politecnico di Milano, I-20133 Milano, Italy. .,Quantum Device Physics Laboratory, Department of Microtechnology and Nanoscience, Chalmers University of Technology, SE-41296 Göteborg, Sweden
| | - S Caprara
- Dipartimento di Fisica, Università di Roma "La Sapienza," I-00185 Roma, Italy.,CNR-ISC, I-00185 Roma, Italy
| | - R Fumagalli
- Dipartimento di Fisica, Politecnico di Milano, I-20133 Milano, Italy
| | - G De Vecchi
- Dipartimento di Fisica, Politecnico di Milano, I-20133 Milano, Italy
| | - Y Y Peng
- Dipartimento di Fisica, Politecnico di Milano, I-20133 Milano, Italy
| | - E Andersson
- Quantum Device Physics Laboratory, Department of Microtechnology and Nanoscience, Chalmers University of Technology, SE-41296 Göteborg, Sweden
| | - D Betto
- ESRF, European Synchrotron, F-38043 Grenoble, France
| | - G M De Luca
- Dipartimento di Fisica "E. Pancini," Università di Napoli Federico II, Complesso Monte Sant'Angelo, I-80126 Napoli, Italy.,CNR-SPIN, Complesso Monte Sant'Angelo, I-80126 Napoli, Italy
| | - N B Brookes
- ESRF, European Synchrotron, F-38043 Grenoble, France
| | - F Lombardi
- Quantum Device Physics Laboratory, Department of Microtechnology and Nanoscience, Chalmers University of Technology, SE-41296 Göteborg, Sweden
| | - M Salluzzo
- CNR-SPIN, Complesso Monte Sant'Angelo, I-80126 Napoli, Italy
| | - L Braicovich
- Dipartimento di Fisica, Politecnico di Milano, I-20133 Milano, Italy.,ESRF, European Synchrotron, F-38043 Grenoble, France
| | - C Di Castro
- Dipartimento di Fisica, Università di Roma "La Sapienza," I-00185 Roma, Italy.,CNR-ISC, I-00185 Roma, Italy
| | - M Grilli
- Dipartimento di Fisica, Università di Roma "La Sapienza," I-00185 Roma, Italy.,CNR-ISC, I-00185 Roma, Italy
| | - G Ghiringhelli
- Dipartimento di Fisica, Politecnico di Milano, I-20133 Milano, Italy. .,CNR-SPIN, Dipartimento di Fisica, Politecnico di Milano, I-20133 Milano, Italy
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7
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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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8
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Cilento F, Manzoni G, Sterzi A, Peli S, Ronchi A, Crepaldi A, Boschini F, Cacho C, Chapman R, Springate E, Eisaki H, Greven M, Berciu M, Kemper AF, Damascelli A, Capone M, Giannetti C, Parmigiani F. Dynamics of correlation-frozen antinodal quasiparticles in superconducting cuprates. SCIENCE ADVANCES 2018; 4:eaar1998. [PMID: 29507885 PMCID: PMC5834002 DOI: 10.1126/sciadv.aar1998] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/12/2017] [Accepted: 01/22/2018] [Indexed: 05/27/2023]
Abstract
Many puzzling properties of high-critical temperature (Tc) superconducting (HTSC) copper oxides have deep roots in the nature of the antinodal quasiparticles, the elementary excitations with wave vector parallel to the Cu-O bonds. These electronic states are most affected by the onset of antiferromagnetic correlations and charge instabilities, and they host the maximum of the anisotropic superconducting gap and pseudogap. We use time-resolved extreme-ultraviolet photoemission with proper photon energy (18 eV) and time resolution (50 fs) to disclose the ultrafast dynamics of the antinodal states in a prototypical HTSC cuprate. After photoinducing a nonthermal charge redistribution within the Cu and O orbitals, we reveal a dramatic momentum-space differentiation of the transient electron dynamics. Whereas the nodal quasiparticle distribution is heated up as in a conventional metal, new quasiparticle states transiently emerge at the antinodes, similarly to what is expected for a photoexcited Mott insulator, where the frozen charges can be released by an impulsive excitation. This transient antinodal metallicity is mapped into the dynamics of the O-2p bands, thus directly demonstrating the intertwining between the low- and high-energy scales that is typical of correlated materials. Our results suggest that the correlation-driven freezing of the electrons moving along the Cu-O bonds, analogous to the Mott localization mechanism, constitutes the starting point for any model of high-Tc superconductivity and other exotic phases of HTSC cuprates.
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Affiliation(s)
| | - Giulia Manzoni
- Elettra-Sincrotrone Trieste S.C.p.A., 34149 Basovizza, Italy
- Dipartimento di Fisica, Università degli Studi di Trieste, 34127 Trieste, Italy
| | - Andrea Sterzi
- Elettra-Sincrotrone Trieste S.C.p.A., 34149 Basovizza, Italy
- Dipartimento di Fisica, Università degli Studi di Trieste, 34127 Trieste, Italy
| | - Simone Peli
- Interdisciplinary Laboratories for Advanced Materials Physics, Università Cattolica del Sacro Cuore, I-25121 Brescia, Italy
| | - Andrea Ronchi
- Interdisciplinary Laboratories for Advanced Materials Physics, Università Cattolica del Sacro Cuore, I-25121 Brescia, Italy
- Department of Physics and Astronomy, Katholieke Universiteit Leuven, Celestijnenlaan 200D, 3001 Leuven, Belgium
| | - Alberto Crepaldi
- Institute of Physics, Ecole Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland
| | - 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
| | - Cephise Cacho
- CLF-Artemis@Rutherford Appleton Laboratory, Harwell Science and Innovation Campus, Didcot OX11 0QX, UK
| | - Richard Chapman
- CLF-Artemis@Rutherford Appleton Laboratory, Harwell Science and Innovation Campus, Didcot OX11 0QX, UK
| | - Emma Springate
- CLF-Artemis@Rutherford Appleton Laboratory, Harwell Science and Innovation Campus, Didcot OX11 0QX, UK
| | - Hiroshi Eisaki
- Nanoelectronics Research Institute, National Institute of Advanced Industrial Science Technology, Tsukuba, Ibaraki 305-8568, Japan
| | - Martin Greven
- School of Physics and Astronomy, University of Minnesota, Minneapolis, MN 55455, USA
| | - Mona Berciu
- 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
| | - Alexander F. Kemper
- Department of Physics, North Carolina State University, Raleigh, NC 27695, 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
| | - Massimo Capone
- Scuola Internazionale Superiore di Studi Avanzati (SISSA) and Consiglio Nazionale delle Ricerche–Istituto Officina dei Materiali (CNR-IOM) Democritos National Simulation Center, Via Bonomea 265, 34136 Trieste, Italy
| | - Claudio Giannetti
- Interdisciplinary Laboratories for Advanced Materials Physics, Università Cattolica del Sacro Cuore, I-25121 Brescia, Italy
| | - Fulvio Parmigiani
- Elettra-Sincrotrone Trieste S.C.p.A., 34149 Basovizza, Italy
- Dipartimento di Fisica, Università degli Studi di Trieste, 34127 Trieste, Italy
- International Faculty, University of Cologne, Albertus-Magnus-Platz, 50923 Cologne, Germany
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9
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Local particle-hole pair excitations by SU(2) symmetry fluctuations. Sci Rep 2017; 7:3477. [PMID: 28615633 PMCID: PMC5471275 DOI: 10.1038/s41598-017-01538-1] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/26/2016] [Accepted: 03/30/2017] [Indexed: 11/24/2022] Open
Abstract
Understanding the pseudo-gap phase which opens in the under-doped regime of cuprate superconductors is one of the most enduring challenges of the physics of these compounds. A depletion in the electronic density of states is observed, which is gapping out part of the Fermi surface, leading to the formation of mysterious lines of massless excitations- the Fermi arcs. Here we give a new theoretical account of the physics of the pseudo-gap phase in terms of the emergence of local patches of particle-hole pairs generated by SU(2) symmetry fluctuations. The proliferation of these local patches accounts naturally for the robustness of the pseudo-gap phase to disturbances like disorder or magnetic field and is shown to gap out part of the Fermi surface, leading to the formation of the Fermi arcs. Most noticeably, we show that these patches induce a modulated charge distribution on the Oxygen atoms, in remarkable agreement with recent X-ray and STM observations.
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10
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Entropic Origin of Pseudogap Physics and a Mott-Slater Transition in Cuprates. Sci Rep 2017; 7:44008. [PMID: 28327627 PMCID: PMC5361159 DOI: 10.1038/srep44008] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/22/2016] [Accepted: 02/02/2017] [Indexed: 11/30/2022] Open
Abstract
We propose a new approach to understand the origin of the pseudogap in the cuprates, in terms of bosonic entropy. The near-simultaneous softening of a large number of different q-bosons yields an extended range of short-range order, wherein the growth of magnetic correlations with decreasing temperature T is anomalously slow. These entropic effects cause the spectral weight associated with the Van Hove singularity (VHS) to shift rapidly and nearly linearly toward half filling at higher T, consistent with a picture of the VHS driving the pseudogap transition at a temperature ~T*. As a byproduct, we develop an order-parameter classification scheme that predicts supertransitions between families of order parameters. As one example, we find that by tuning the hopping parameters, it is possible to drive the cuprates across a transition between Mott and Slater physics, where a spin-frustrated state emerges at the crossover.
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11
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Miller TL, Zhang W, Eisaki H, Lanzara A. Particle-Hole Asymmetry in the Cuprate Pseudogap Measured with Time-Resolved Spectroscopy. PHYSICAL REVIEW LETTERS 2017; 118:097001. [PMID: 28306293 DOI: 10.1103/physrevlett.118.097001] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/20/2016] [Indexed: 06/06/2023]
Abstract
One of the most puzzling features of high-temperature cuprate superconductors is the pseudogap state, which appears above the temperature at which superconductivity is destroyed. There remain fundamental questions regarding its nature and its relation to superconductivity. But to address these questions, we must first determine whether the pseudogap and superconducting states share a common property: particle-hole symmetry. We introduce a new technique to test particle-hole symmetry by using laser pulses to manipulate and measure the chemical potential on picosecond time scales. The results strongly suggest that the asymmetry in the density of states is inverted in the pseudogap state, implying a particle-hole asymmetric gap. Independent of interpretation, these results can test theoretical predictions of the density of states in cuprates.
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Affiliation(s)
- Tristan L Miller
- Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
- Department of Physics, University of California, Berkeley, California 94720, USA
| | - Wentao Zhang
- Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
- Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China
| | - Hiroshi Eisaki
- Electronics and Photonics Research Institute, National Institute of Advanced Industrial Science and Technology, Ibaraki 305-8568, Japan
| | - Alessandra Lanzara
- Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
- Department of Physics, University of California, Berkeley, California 94720, USA
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12
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Change of carrier density at the pseudogap critical point of a cuprate superconductor. Nature 2016; 531:210-4. [DOI: 10.1038/nature16983] [Citation(s) in RCA: 255] [Impact Index Per Article: 31.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/22/2015] [Accepted: 01/05/2016] [Indexed: 11/08/2022]
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13
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Giant phonon anomaly associated with superconducting fluctuations in the pseudogap phase of cuprates. Nat Commun 2016; 7:10378. [PMID: 26785835 PMCID: PMC4735821 DOI: 10.1038/ncomms10378] [Citation(s) in RCA: 14] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/22/2015] [Accepted: 12/04/2015] [Indexed: 11/13/2022] Open
Abstract
The pseudogap in underdoped cuprates leads to significant changes in the electronic structure, and was later found to be accompanied by anomalous fluctuations of superconductivity and certain lattice phonons. Here we propose that the Fermi surface breakup due to the pseudogap, leads to a breakup of the pairing order into two weakly coupled sub-band amplitudes, and a concomitant low energy Leggett mode due to phase fluctuations between them. This increases the temperature range of superconducting fluctuations containing an overdamped Leggett mode. In this range inter-sub-band phonons show strong damping due to resonant scattering into an intermediate state with a pair of overdamped Leggett modes. In the ordered state, the Leggett mode develops a finite energy, changing the anomalous phonon damping into an anomaly in the dispersion. This proposal explains the intrinsic connection between the anomalous pseudogap phase, enhanced superconducting fluctuations and giant anomalies in the phonon spectra. The emergence of a giant phonon anomaly in the pseudogap phase of underdoped cuprate superconductors has been assumed to be a consequence of instability towards a charge density wave state. Here, the authors present a theory suggesting the anomaly arises due to large superconducting fluctuations.
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14
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Chen X, Dai P, Feng D, Xiang T, Zhang FC. Iron-based high transition temperature superconductors. Natl Sci Rev 2014. [DOI: 10.1093/nsr/nwu007] [Citation(s) in RCA: 148] [Impact Index Per Article: 14.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/13/2022] Open
Abstract
Abstract
In a superconductor electrons form pairs and electric transport becomes dissipation-less at low temperatures. Recently discovered iron-based superconductors have the highest superconducting transition temperature next to copper oxides. In this article, we review material aspects and physical properties of iron-based superconductors. We discuss the dependence of transition temperature on the crystal structure, the interplay between antiferromagnetism and superconductivity by examining neutron scattering experiments, and the electronic properties of these compounds obtained by angle-resolved photoemission spectroscopy in link with some results from scanning tunneling microscopy/spectroscopy measurements. Possible microscopic model for this class of compounds is discussed from a strong coupling point of view.
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Affiliation(s)
- Xianhui Chen
- Department of Physics, University of Science and Technology of China, Hefei, 230026, China
| | - Pengcheng Dai
- Department of Physics and Astronomy, Rice University, Houston, TX 77005, USA
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - Donglai Feng
- Department of Physics, Fudan University, Shanghai 200433, China
| | - Tao Xiang
- Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
- Collaborative Innovation Center of Quantum Matter, Beijing 100190, China
| | - Fu-Chun Zhang
- Department of Physics, Zhejiang University, Hangzhou, 310027, China
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15
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Sebastian SE, Harrison N, Balakirev FF, Altarawneh MM, Goddard PA, Liang R, Bonn DA, Hardy WN, Lonzarich GG. Normal-state nodal electronic structure in underdoped high-Tc copper oxides. Nature 2014; 511:61-4. [PMID: 24930767 DOI: 10.1038/nature13326] [Citation(s) in RCA: 82] [Impact Index Per Article: 8.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/12/2014] [Accepted: 04/02/2014] [Indexed: 11/09/2022]
Abstract
An outstanding problem in the field of high-transition-temperature (high-Tc) superconductivity is the identification of the normal state out of which superconductivity emerges in the mysterious underdoped regime. The normal state uncomplicated by thermal fluctuations can be studied using applied magnetic fields that are sufficiently strong to suppress long-range superconductivity at low temperatures. Proposals in which the normal ground state is characterized by small Fermi surface pockets that exist in the absence of symmetry breaking have been superseded by models based on the existence of a superlattice that breaks the translational symmetry of the underlying lattice. Recently, a charge superlattice model that positions a small electron-like Fermi pocket in the vicinity of the nodes (where the superconducting gap is minimum) has been proposed as a replacement for the prevalent superlattice models that position the Fermi pocket in the vicinity of the pseudogap at the antinodes (where the superconducting gap is maximum). Although some ingredients of symmetry breaking have been recently revealed by crystallographic studies, their relevance to the electronic structure remains unresolved. Here we report angle-resolved quantum oscillation measurements in the underdoped copper oxide YBa2Cu3O6 + x. These measurements reveal a normal ground state comprising electron-like Fermi surface pockets located in the vicinity of the nodes, and also point to an underlying superlattice structure of low frequency and long wavelength with features in common with the charge order identified recently by complementary spectroscopic techniques.
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Affiliation(s)
- Suchitra E Sebastian
- Cavendish Laboratory, Cambridge University, JJ Thomson Avenue, Cambridge CB3 OHE, UK
| | - N Harrison
- National High Magnetic Field Laboratory, Los Alamos National Laboratory (LANL), Los Alamos, New Mexico 87504, USA
| | - F F Balakirev
- National High Magnetic Field Laboratory, Los Alamos National Laboratory (LANL), Los Alamos, New Mexico 87504, USA
| | - M M Altarawneh
- 1] National High Magnetic Field Laboratory, Los Alamos National Laboratory (LANL), Los Alamos, New Mexico 87504, USA [2] Department of Physics, Mu'tah University, Mu'tah, Karak 61710, Jordan
| | - P A Goddard
- Department of Physics, University of Warwick, Gibbet Hill Road, Coventry CV4 7AL, UK
| | - Ruixing Liang
- 1] Department of Physics and Astronomy, University of British Columbia, Vancouver V6T 1Z4, Canada [2] Canadian Institute for Advanced Research, Quantum Materials Program, Toronto M5G 1Z8, Canada
| | - D A Bonn
- 1] Department of Physics and Astronomy, University of British Columbia, Vancouver V6T 1Z4, Canada [2] Canadian Institute for Advanced Research, Quantum Materials Program, Toronto M5G 1Z8, Canada
| | - W N Hardy
- 1] Department of Physics and Astronomy, University of British Columbia, Vancouver V6T 1Z4, Canada [2] Canadian Institute for Advanced Research, Quantum Materials Program, Toronto M5G 1Z8, Canada
| | - G G Lonzarich
- Cavendish Laboratory, Cambridge University, JJ Thomson Avenue, Cambridge CB3 OHE, UK
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16
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Jiang HM. Doping dependence of the nonmagnetic impurity resonance in cuprate superconductors. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2014; 26:165701. [PMID: 24691383 DOI: 10.1088/0953-8984/26/16/165701] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/03/2023]
Abstract
Motivated by the observation that the nonmagnetic impurity induced resonance strength is reduced with underdoping in Bi(2)Sr(2)Ca(Cu(1-y)Zn(y))(2)O(8+x), we study the doping dependence of the nonmagnetic impurity induced resonance in cuprates from the viewpoint of resonating valence bond (RVB) spin liquid theory. It is revealed that the pseudogap state in the Yang, Rice and Zhang ansatz (Yang et al 2006 Phys. Rev. B 73 174501; Rice et al 2012 Rep. Prog. Phys. 75 016502) does not support an impurity resonance state due to the overdamping of the quasiparticle. In the coexistence of the d-wave superconductivity and the RVB gap, our theory provides an alternative but consistent explanation for the reduction of the resonance strength with underdoping, as well as the absence of the resonance in the large gap region.
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Affiliation(s)
- Hong-Min Jiang
- Department of Physics, Henan Normal University, Xinxiang 453002, People's Republic of China
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17
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Laughlin RB. Fermi-liquid computation of the phase diagram of high-Tc cuprate superconductors with an orbital antiferromagnetic pseudogap. PHYSICAL REVIEW LETTERS 2014; 112:017004. [PMID: 24483922 DOI: 10.1103/physrevlett.112.017004] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/30/2013] [Indexed: 06/03/2023]
Abstract
A 4-parameter Fermi-liquid calculation of the high-Tc cuprate phase diagram is reported. Simultaneously accounted for are the special doping densities of 5% and 16%, the d-wave functional form of the (orbital antiferromagnetic) pseudogap, the measured Tc, superconducting gap, pseudogap and superfluid density as a function of doping, the particle-hole doping asymmetry and the half-filling spin wave velocity.
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Affiliation(s)
- R B Laughlin
- Department of Physics, Stanford University, Stanford, California 94305, USA
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18
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Dean MPM, James AJA, Springell RS, Liu X, Monney C, Zhou KJ, Konik RM, Wen JS, Xu ZJ, Gu GD, Strocov VN, Schmitt T, Hill JP. High-energy magnetic excitations in the cuprate superconductor Bi(2)Sr(2)CaCu(2)O(8+δ): towards a unified description of its electronic and magnetic degrees of freedom. PHYSICAL REVIEW LETTERS 2013; 110:147001. [PMID: 25167025 DOI: 10.1103/physrevlett.110.147001] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/26/2012] [Indexed: 06/03/2023]
Abstract
We investigate the high-energy magnetic excitation spectrum of the high-T(c) cuprate superconductor Bi(2)Sr(2)CaCu(2)O(8+δ) (Bi-2212) using Cu L(3) edge resonant inelastic x-ray scattering. Broad, dispersive magnetic excitations are observed, with a zone boundary energy of ∼ 300 meV and a weak dependence on doping. These excitations are strikingly similar to the bosons proposed to explain the high-energy "kink" observed in photoemission. A phenomenological calculation of the spin response, based on a parametrization of the the angle-resolved photoemission spectroscopy derived electronic structure and Yang-Rice-Zhang quasiparticles, provides a reasonable prediction of the energy dispersion of the observed magnetic excitations. These results indicate a possible unified framework to reconcile the magnetic and electronic properties of the cuprates and we discuss the advantages and disadvantages of such an approach.
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Affiliation(s)
- M P M Dean
- Department of Condensed Matter Physics and Materials Science, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - A J A James
- Department of Condensed Matter Physics and Materials Science, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - R S Springell
- Royal Commission for the Exhibition of 1851 Research Fellow, Interface Analysis Centre, University of Bristol, Bristol BS2 8BS, United Kingdom and London Centre for Nanotechnology and Department of Physics and Astronomy, University College London, London WC1E 6BT, United Kingdom
| | - X Liu
- Department of Condensed Matter Physics and Materials Science, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - C Monney
- Swiss Light Source, Paul Scherrer Institut, CH-5232 Villigen PSI, Switzerland
| | - K J Zhou
- Swiss Light Source, Paul Scherrer Institut, CH-5232 Villigen PSI, Switzerland
| | - R M Konik
- Department of Condensed Matter Physics and Materials Science, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - J S Wen
- Department of Condensed Matter Physics and Materials Science, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - Z J Xu
- Department of Condensed Matter Physics and Materials Science, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - G D Gu
- Department of Condensed Matter Physics and Materials Science, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - V N Strocov
- Swiss Light Source, Paul Scherrer Institut, CH-5232 Villigen PSI, Switzerland
| | - T Schmitt
- Swiss Light Source, Paul Scherrer Institut, CH-5232 Villigen PSI, Switzerland
| | - J P Hill
- Department of Condensed Matter Physics and Materials Science, Brookhaven National Laboratory, Upton, New York 11973, USA
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