1
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Bluschke M, Gupta NK, Jang H, Husain AA, Lee B, Kim M, Na M, Dos Remedios B, Smit S, Moen P, Park SY, Kim M, Jang D, Choi H, Sutarto R, Reid AH, Dakovski GL, Coslovich G, Nguyen QL, Burdet NG, Lin MF, Revcolevschi A, Park JH, Geck J, Turner JJ, Damascelli A, Hawthorn DG. Orbital-selective time-domain signature of nematicity dynamics in the charge-density-wave phase of La 1.65Eu 0.2Sr 0.15CuO 4. Proc Natl Acad Sci U S A 2024; 121:e2400727121. [PMID: 38819998 PMCID: PMC11161785 DOI: 10.1073/pnas.2400727121] [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: 01/12/2024] [Accepted: 04/25/2024] [Indexed: 06/02/2024] Open
Abstract
Understanding the interplay between charge, nematic, and structural ordering tendencies in cuprate superconductors is critical to unraveling their complex phase diagram. Using pump-probe time-resolved resonant X-ray scattering on the (0 0 1) Bragg peak at the Cu [Formula: see text] and O [Formula: see text] resonances, we investigate nonequilibrium dynamics of [Formula: see text] nematic order and its association with both charge density wave (CDW) order and lattice dynamics in La[Formula: see text]Eu[Formula: see text]Sr[Formula: see text]CuO[Formula: see text]. The orbital selectivity of the resonant X-ray scattering cross-section allows nematicity dynamics associated with the planar O 2[Formula: see text] and Cu 3[Formula: see text] states to be distinguished from the response of anisotropic lattice distortions. A direct time-domain comparison of CDW translational-symmetry breaking and nematic rotational-symmetry breaking reveals that these broken symmetries remain closely linked in the photoexcited state, consistent with the stability of CDW topological defects in the investigated pump fluence regime.
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Affiliation(s)
- Martin Bluschke
- Quantum Matter Institute, University of British Columbia, Vancouver, BCV6T 1Z4, Canada
- Department of Physics and Astronomy, University of British Columbia, Vancouver, BCV6T 1Z1, Canada
| | - Naman K. Gupta
- Department of Physics and Astronomy, University of Waterloo, Waterloo, ONN2L 3G1, Canada
| | - Hoyoung Jang
- X-ray Free Electron Laser Beamline Division, Pohang Accelerator Laboratory, Pohang University of Science and Technology, Pohang37673, Gyeongbuk, Republic of Korea
- Photon Science Center, Pohang University of Science and Technology, Pohang37673, Gyeongbuk, Republic of Korea
| | - Ali. A. Husain
- Quantum Matter Institute, University of British Columbia, Vancouver, BCV6T 1Z4, Canada
- Department of Physics and Astronomy, University of British Columbia, Vancouver, BCV6T 1Z1, Canada
| | - Byungjune Lee
- Max Planck - Pohang University of Science and Technology/Korea Research Initiative, Center for Complex Phase Materials, Pohang37673, Republic of Korea
- Department of Physics, Pohang University of Science and Technology, Pohang37673, Republic of Korea
| | - Minjune Kim
- Quantum Matter Institute, University of British Columbia, Vancouver, BCV6T 1Z4, Canada
- Department of Physics and Astronomy, University of British Columbia, Vancouver, BCV6T 1Z1, Canada
| | - MengXing Na
- Quantum Matter Institute, University of British Columbia, Vancouver, BCV6T 1Z4, Canada
- Department of Physics and Astronomy, University of British Columbia, Vancouver, BCV6T 1Z1, Canada
| | - Brandon Dos Remedios
- Quantum Matter Institute, University of British Columbia, Vancouver, BCV6T 1Z4, Canada
- Department of Physics and Astronomy, University of British Columbia, Vancouver, BCV6T 1Z1, Canada
| | - Steef Smit
- Quantum Matter Institute, University of British Columbia, Vancouver, BCV6T 1Z4, Canada
- Department of Physics and Astronomy, University of British Columbia, Vancouver, BCV6T 1Z1, Canada
| | - Peter Moen
- Quantum Matter Institute, University of British Columbia, Vancouver, BCV6T 1Z4, Canada
- Department of Physics and Astronomy, University of British Columbia, Vancouver, BCV6T 1Z1, Canada
| | - Sang-Youn Park
- X-ray Free Electron Laser Beamline Division, Pohang Accelerator Laboratory, Pohang University of Science and Technology, Pohang37673, Gyeongbuk, Republic of Korea
| | - Minseok Kim
- X-ray Free Electron Laser Beamline Division, Pohang Accelerator Laboratory, Pohang University of Science and Technology, Pohang37673, Gyeongbuk, Republic of Korea
| | - Dogeun Jang
- X-ray Free Electron Laser Beamline Division, Pohang Accelerator Laboratory, Pohang University of Science and Technology, Pohang37673, Gyeongbuk, Republic of Korea
| | - Hyeongi Choi
- X-ray Free Electron Laser Beamline Division, Pohang Accelerator Laboratory, Pohang University of Science and Technology, Pohang37673, Gyeongbuk, Republic of Korea
| | | | - Alexander H. Reid
- Linac Coherent Light Source, Stanford Linear Accelerator Center National Accelerator Laboratory, Menlo Park, CA94025
| | - Georgi L. Dakovski
- Linac Coherent Light Source, Stanford Linear Accelerator Center National Accelerator Laboratory, Menlo Park, CA94025
| | - Giacomo Coslovich
- Linac Coherent Light Source, Stanford Linear Accelerator Center National Accelerator Laboratory, Menlo Park, CA94025
| | - Quynh L. Nguyen
- Linac Coherent Light Source, Stanford Linear Accelerator Center National Accelerator Laboratory, Menlo Park, CA94025
- Stanford PULSE Institute, Stanford University and Stanford Linear Accelerator Center National Accelerator Laboratory, Menlo Park, CA94025
| | - Nicolas G. Burdet
- Linac Coherent Light Source, Stanford Linear Accelerator Center National Accelerator Laboratory, Menlo Park, CA94025
- Stanford Institute for Materials and Energy Sciences, Stanford Linear Accelerator Center National Accelerator Laboratory and Stanford University, Menlo Park, CA94025
| | - Ming-Fu Lin
- Linac Coherent Light Source, Stanford Linear Accelerator Center National Accelerator Laboratory, Menlo Park, CA94025
| | - Alexandre Revcolevschi
- Institut de Chimie Moléculaire et des Matériaux d’Orsay, Université Paris-Saclay, Centre National de la Recherche Scientifique, UMR 8182, 91405Orsay, France
| | - Jae-Hoon Park
- Max Planck - Pohang University of Science and Technology/Korea Research Initiative, Center for Complex Phase Materials, Pohang37673, Republic of Korea
- Department of Physics, Pohang University of Science and Technology, Pohang37673, Republic of Korea
| | - Jochen Geck
- Institute of Solid State and Materials Physics, Technische Universität Dresden, 01069Dresden, Germany
- Würzburg-Dresden Cluster of Excellence ct.qmat, Technische Universität Dresden, 01062Dresden, Germany
| | - Joshua J. Turner
- Linac Coherent Light Source, Stanford Linear Accelerator Center National Accelerator Laboratory, Menlo Park, CA94025
- Stanford Institute for Materials and Energy Sciences, Stanford Linear Accelerator Center National Accelerator Laboratory and Stanford University, Menlo Park, CA94025
| | - Andrea Damascelli
- Quantum Matter Institute, University of British Columbia, Vancouver, BCV6T 1Z4, Canada
- Department of Physics and Astronomy, University of British Columbia, Vancouver, BCV6T 1Z1, Canada
| | - David G. Hawthorn
- Department of Physics and Astronomy, University of Waterloo, Waterloo, ONN2L 3G1, Canada
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2
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Sheyfer D, Zheng H, Krogstad M, Thompson C, You H, Eastman JA, Liu Y, Wang BX, Ye ZG, Rosenkranz S, Phelan D, Dufresne EM, Stephenson GB, Cao Y. X-ray-induced piezoresponse during X-ray photon correlation spectroscopy of PbMg 1/3Nb 2/3O 3. JOURNAL OF SYNCHROTRON RADIATION 2024; 31:55-64. [PMID: 37930257 PMCID: PMC10833419 DOI: 10.1107/s1600577523009116] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/22/2023] [Accepted: 10/17/2023] [Indexed: 11/07/2023]
Abstract
X-ray photon correlation spectroscopy (XPCS) holds strong promise for observing atomic-scale dynamics in materials, both at equilibrium and during non-equilibrium transitions. Here an in situ XPCS study of the relaxor ferroelectric PbMg1/3Nb2/3O3 (PMN) is reported. A weak applied AC electric field generates strong response in the speckle of the diffuse scattering from the polar nanodomains, which is captured using the two-time correlation function. Correlated motions of the Bragg peak are also observed, which indicate dynamic tilting of the illuminated volume. This tilting quantitatively accounts for the observed two-time speckle correlations. The magnitude of the tilting would not be expected solely from the modest applied field, since PMN is an electrostrictive material with no linear strain response to the field. A model is developed based on non-uniform static charging of the illuminated surface spot by the incident micrometre-scale X-ray beam and the electrostrictive material response to the combination of static and dynamic fields. The model qualitatively explains the direction and magnitude of the observed tilting, and predicts that X-ray-induced piezoresponse could be an important factor in correctly interpreting results from XPCS and nanodiffraction studies of other insulating materials under applied AC field or varying X-ray illumination.
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Affiliation(s)
- Dina Sheyfer
- Materials Science Division, Argonne National Laboratory, Lemont, IL 60439, USA
- X-ray Science Division, Argonne National Laboratory, Lemont, IL 60439, USA
| | - Hao Zheng
- Materials Science Division, Argonne National Laboratory, Lemont, IL 60439, USA
| | - Matthew Krogstad
- Materials Science Division, Argonne National Laboratory, Lemont, IL 60439, USA
| | - Carol Thompson
- Department of Physics, Northern Illinois University, DeKalb, IL 60115, USA
| | - Hoydoo You
- Materials Science Division, Argonne National Laboratory, Lemont, IL 60439, USA
| | - Jeffrey A. Eastman
- Materials Science Division, Argonne National Laboratory, Lemont, IL 60439, USA
| | - Yuzi Liu
- Center for Nanoscale Materials, Argonne National Laboratory, Lemont, IL 60439, USA
| | - Bi-Xia Wang
- Department of Chemistry and 4D Labs, Simon Fraser University, Burnaby, BC, Canada V5A1S6
| | - Zuo-Guang Ye
- Department of Chemistry and 4D Labs, Simon Fraser University, Burnaby, BC, Canada V5A1S6
| | - Stephan Rosenkranz
- Materials Science Division, Argonne National Laboratory, Lemont, IL 60439, USA
| | - Daniel Phelan
- Materials Science Division, Argonne National Laboratory, Lemont, IL 60439, USA
| | - Eric M. Dufresne
- X-ray Science Division, Argonne National Laboratory, Lemont, IL 60439, USA
| | - G. Brian Stephenson
- Materials Science Division, Argonne National Laboratory, Lemont, IL 60439, USA
| | - Yue Cao
- Materials Science Division, Argonne National Laboratory, Lemont, IL 60439, USA
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3
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Coherent correlation imaging for resolving fluctuating states of matter. Nature 2023; 614:256-261. [PMID: 36653456 PMCID: PMC9908557 DOI: 10.1038/s41586-022-05537-9] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/21/2021] [Accepted: 11/08/2022] [Indexed: 01/19/2023]
Abstract
Fluctuations and stochastic transitions are ubiquitous in nanometre-scale systems, especially in the presence of disorder. However, their direct observation has so far been impeded by a seemingly fundamental, signal-limited compromise between spatial and temporal resolution. Here we develop coherent correlation imaging (CCI) to overcome this dilemma. Our method begins by classifying recorded camera frames in Fourier space. Contrast and spatial resolution emerge by averaging selectively over same-state frames. Temporal resolution down to the acquisition time of a single frame arises independently from an exceptionally low misclassification rate, which we achieve by combining a correlation-based similarity metric1,2 with a modified, iterative hierarchical clustering algorithm3,4. We apply CCI to study previously inaccessible magnetic fluctuations in a highly degenerate magnetic stripe domain state with nanometre-scale resolution. We uncover an intricate network of transitions between more than 30 discrete states. Our spatiotemporal data enable us to reconstruct the pinning energy landscape and to thereby explain the dynamics observed on a microscopic level. CCI massively expands the potential of emerging high-coherence X-ray sources and paves the way for addressing large fundamental questions such as the contribution of pinning5-8 and topology9-12 in phase transitions and the role of spin and charge order fluctuations in high-temperature superconductivity13,14.
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4
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Assefa TA, Seaberg MH, Reid AH, Shen L, Esposito V, Dakovski GL, Schlotter W, Holladay B, Streubel R, Montoya SA, Hart P, Nakahara K, Moeller S, Kevan SD, Fischer P, Fullerton EE, Colocho W, Lutman A, Decker FJ, Sinha SK, Roy S, Blackburn E, Turner JJ. The fluctuation-dissipation measurement instrument at the Linac Coherent Light Source. THE REVIEW OF SCIENTIFIC INSTRUMENTS 2022; 93:083902. [PMID: 36050107 DOI: 10.1063/5.0091297] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/14/2022] [Accepted: 06/30/2022] [Indexed: 06/15/2023]
Abstract
The development of new modes at x-ray free electron lasers has inspired novel methods for studying fluctuations at different energies and timescales. For closely spaced x-ray pulses that can be varied on ultrafast time scales, we have constructed a pair of advanced instruments to conduct studies targeting quantum materials. We first describe a prototype instrument built to test the proof-of-principle of resonant magnetic scattering using ultrafast pulse pairs. This is followed by a description of a new endstation, the so-called fluctuation-dissipation measurement instrument, which was used to carry out studies with a fast area detector. In addition, we describe various types of diagnostics for single-shot contrast measurements, which can be used to normalize data on a pulse-by-pulse basis and calibrate pulse amplitude ratios, both of which are important for the study of fluctuations in materials. Furthermore, we present some new results using the instrument that demonstrates access to higher momentum resolution.
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Affiliation(s)
- T A Assefa
- Stanford Institute for Materials and Energy Science, Stanford University and SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - M H Seaberg
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, California 94720, USA
| | - A H Reid
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, California 94720, USA
| | - L Shen
- Stanford Institute for Materials and Energy Science, Stanford University and SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - V Esposito
- Stanford Institute for Materials and Energy Science, Stanford University and SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
| | - G L Dakovski
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, California 94720, USA
| | - W Schlotter
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, California 94720, USA
| | - B Holladay
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, California 94720, USA
| | - R Streubel
- Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA and Physics Department, University of California Santa Cruz, Santa Cruz, California 95064, USA
| | - S A Montoya
- Center for Memory and Recording Research, University of California-San Diego, La Jolla, California 92093, USA
| | - P Hart
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, California 94720, USA
| | - K Nakahara
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, California 94720, USA
| | - S Moeller
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, California 94720, USA
| | - S D Kevan
- Department of Physics, University of Oregon, Eugene, Oregon 97401, USA
| | - P Fischer
- Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA and Physics Department, University of California Santa Cruz, Santa Cruz, California 95064, USA
| | - E E Fullerton
- Center for Memory and Recording Research, University of California-San Diego, La Jolla, California 92093, USA
| | - W Colocho
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, California 94720, USA
| | - A Lutman
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, California 94720, USA
| | - F-J Decker
- Linac Coherent Light Source, SLAC National Accelerator Laboratory, Menlo Park, California 94720, USA
| | - S K Sinha
- Department of Physics, University of California-San Diego, La Jolla, California 92093, USA
| | - S Roy
- Advanced Light Source, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - E Blackburn
- Division of Synchrotron Radiation Research, Department of Physics, Lund University, 22100 Lund, Sweden
| | - J J Turner
- Stanford Institute for Materials and Energy Science, Stanford University and SLAC National Accelerator Laboratory, Menlo Park, California 94025, USA
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5
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Shen Y, Fabbris G, Miao H, Cao Y, Meyers D, Mazzone DG, Assefa TA, Chen XM, Kisslinger K, Prabhakaran D, Boothroyd AT, Tranquada JM, Hu W, Barbour AM, Wilkins SB, Mazzoli C, Robinson IK, Dean MPM. Charge Condensation and Lattice Coupling Drives Stripe Formation in Nickelates. PHYSICAL REVIEW LETTERS 2021; 126:177601. [PMID: 33988428 DOI: 10.1103/physrevlett.126.177601] [Citation(s) in RCA: 6] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/27/2020] [Accepted: 03/31/2021] [Indexed: 06/12/2023]
Abstract
Revealing the predominant driving force behind symmetry breaking in correlated materials is sometimes a formidable task due to the intertwined nature of different degrees of freedom. This is the case for La_{2-x}Sr_{x}NiO_{4+δ}, in which coupled incommensurate charge and spin stripes form at low temperatures. Here, we use resonant x-ray photon correlation spectroscopy to study the temporal stability and domain memory of the charge and spin stripes in La_{2-x}Sr_{x}NiO_{4+δ}. Although spin stripes are more spatially correlated, charge stripes maintain a better temporal stability against temperature change. More intriguingly, charge order shows robust domain memory with thermal cycling up to 250 K, far above the ordering temperature. These results demonstrate the pinning of charge stripes to the lattice and that charge condensation is the predominant factor in the formation of stripe orders in nickelates.
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Affiliation(s)
- Y Shen
- Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - G Fabbris
- Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, New York 11973, USA
- Advanced Photon Source, Argonne National Laboratory, Lemont, Illinois 60439, USA
| | - H Miao
- Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, New York 11973, USA
- Material Science and Technology Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37830, USA
| | - Y Cao
- Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, New York 11973, USA
- Materials Science Division, Argonne National Laboratory, Lemont, Illinois 60439, USA
| | - D Meyers
- Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, New York 11973, USA
- Department of Physics, Oklahoma State University, Stillwater, Oklahoma 74078, USA
| | - D G Mazzone
- Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, New York 11973, USA
- Laboratory for Neutron Scattering and Imaging, Paul Scherrer Institut, CH-5232 Villigen, Switzerland
| | - T A Assefa
- Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - X M Chen
- Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - K Kisslinger
- Center for Functional Nanomaterials, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - D Prabhakaran
- Department of Physics, University of Oxford, Clarendon Laboratory, Oxford OX1 3PU, United Kingdom
| | - A T Boothroyd
- Department of Physics, University of Oxford, Clarendon Laboratory, Oxford OX1 3PU, United Kingdom
| | - J M Tranquada
- Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - W Hu
- 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
| | - S B Wilkins
- National Synchrotron Light Source II, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - C Mazzoli
- National Synchrotron Light Source II, Brookhaven National Laboratory, Upton, New York 11973, USA
| | - I K Robinson
- 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
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6
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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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7
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Yue L, Xue S, Li J, Hu W, Barbour A, Zheng F, Wang L, Feng J, Wilkins SB, Mazzoli C, Comin R, Li Y. Distinction between pristine and disorder-perturbed charge density waves in ZrTe 3. Nat Commun 2020; 11:98. [PMID: 31911603 PMCID: PMC6946692 DOI: 10.1038/s41467-019-13813-y] [Citation(s) in RCA: 16] [Impact Index Per Article: 4.0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 04/24/2019] [Accepted: 11/29/2019] [Indexed: 11/09/2022] Open
Abstract
Charge density waves (CDWs) in the cuprate high-temperature superconductors have evoked much interest, yet their typical short-range nature has raised questions regarding the role of disorder. Here we report a resonant X-ray diffraction study of ZrTe[Formula: see text], a model CDW system, with focus on the influence of disorder. Near the CDW transition temperature, we observe two independent signals that arise concomitantly, only to become clearly separated in momentum while developing very different correlation lengths in the well-ordered state that is reached at a distinctly lower temperature. Anomalously slow dynamics of mesoscopic charge domains are further found near the transition temperature, in spite of the expected strong thermal fluctuations. Our observations signify the presence of distinct experimental fingerprints of pristine and disorder-perturbed CDWs. We discuss the latter also in the context of Friedel oscillations, which we argue might promote CDW formation via a self-amplifying process.
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Affiliation(s)
- Li Yue
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, 100871, China
| | - Shangjie Xue
- Department of Physics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
| | - Jiarui Li
- Department of Physics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA
| | - Wen Hu
- National Synchrotron Light Source II, Brookhaven National Laboratory, Upton, NY, 11973, USA
| | - Andi Barbour
- National Synchrotron Light Source II, Brookhaven National Laboratory, Upton, NY, 11973, USA
| | - Feipeng Zheng
- Siyuan Laboratory, Guangzhou Key Laboratory of Vacuum Coating Technologies and New Energy Materials, Department of Physics, Jinan University, Guangzhou, 510632, China
| | - Lichen Wang
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, 100871, China
| | - Ji Feng
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, 100871, China
- Collaborative Innovation Center of Quantum Matter, Beijing, 100871, China
| | - Stuart B Wilkins
- National Synchrotron Light Source II, Brookhaven National Laboratory, Upton, NY, 11973, USA
| | - Claudio Mazzoli
- National Synchrotron Light Source II, Brookhaven National Laboratory, Upton, NY, 11973, USA
| | - Riccardo Comin
- Department of Physics, Massachusetts Institute of Technology, Cambridge, MA, 02139, USA.
| | - Yuan Li
- International Center for Quantum Materials, School of Physics, Peking University, Beijing, 100871, China.
- Collaborative Innovation Center of Quantum Matter, Beijing, 100871, China.
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8
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Mitrano M, Lee S, Husain AA, Delacretaz L, Zhu M, de la Peña Munoz G, Sun SXL, Joe YI, Reid AH, Wandel SF, Coslovich G, Schlotter W, van Driel T, Schneeloch J, Gu GD, Hartnoll S, Goldenfeld N, Abbamonte P. Ultrafast time-resolved x-ray scattering reveals diffusive charge order dynamics in La 2-x Ba x CuO 4. SCIENCE ADVANCES 2019; 5:eaax3346. [PMID: 31453340 PMCID: PMC6697434 DOI: 10.1126/sciadv.aax3346] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/14/2019] [Accepted: 07/03/2019] [Indexed: 05/23/2023]
Abstract
Charge order is universal among high-T c cuprates, but its relation to superconductivity is unclear. While static order competes with superconductivity, dynamic order may be favorable and even contribute to Cooper pairing. Using time-resolved resonant soft x-ray scattering at a free-electron laser, we show that the charge order in prototypical La2-x Ba x CuO4 exhibits transverse fluctuations at picosecond time scales. These sub-millielectron volt excitations propagate by Brownian-like diffusion and have an energy scale remarkably close to the superconducting T c. At sub-millielectron volt energy scales, the dynamics are governed by universal scaling laws defined by the propagation of topological defects. Our results show that charge order in La2-x Ba x CuO4 exhibits dynamics favorable to the in-plane superconducting tunneling and establish time-resolved x-rays as a means to study excitations at energy scales inaccessible to conventional scattering techniques.
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Affiliation(s)
- Matteo Mitrano
- Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
- Seitz Materials Research Laboratory, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
| | - Sangjun Lee
- Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
- Seitz Materials Research Laboratory, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
| | - Ali A. Husain
- Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
- Seitz Materials Research Laboratory, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
| | - Luca Delacretaz
- Department of Physics, Stanford University, Stanford, CA 94305-4060, USA
| | - Minhui Zhu
- Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
| | | | - Stella X.-L. Sun
- Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
- Seitz Materials Research Laboratory, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
| | - Young Il Joe
- National Institute of Standards and Technology, Boulder, CO 80305, USA
| | - Alexander H. Reid
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - Scott F. Wandel
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - Giacomo Coslovich
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - William Schlotter
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - Tim van Driel
- SLAC National Accelerator Laboratory, 2575 Sand Hill Road, Menlo Park, CA 94025, USA
| | - John Schneeloch
- Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, NY 11973, USA
| | - G. D. Gu
- Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, NY 11973, USA
| | - Sean Hartnoll
- Department of Physics, Stanford University, Stanford, CA 94305-4060, USA
| | - Nigel Goldenfeld
- Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
| | - Peter Abbamonte
- Department of Physics, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
- Seitz Materials Research Laboratory, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA
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