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Egami T, Ryu CW. World beyond the nearest neighbors. J Phys Condens Matter 2023; 35:174002. [PMID: 36812595 DOI: 10.1088/1361-648x/acbe24] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/21/2022] [Accepted: 02/22/2023] [Indexed: 06/18/2023]
Abstract
The structure beyond the nearest neighbor atoms in liquid and glass is characterized by the medium-range order (MRO). In the conventional approach, the MRO is considered to result directly from the short-range order (SRO) in the nearest neighbors. To this bottom-up approach starting with the SRO, we propose to add a top-down approach in which global collective forces drive liquid to form density waves. The two approaches are in conflict with each other, and the compromise produces the structure with the MRO. The driving force to produce density waves provides the stability and stiffness to the MRO, and controls various mechanical properties. This dual framework provides a novel perspective for description of the structure and dynamics of liquid and glass.
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Affiliation(s)
- Takeshi Egami
- Shull-Wollan Center and Department of Materials Science and Engineering, University of Tennessee, Knoxville, TN 37996, United States of America
- Department of Physics and Astronomy, University of Tennessee, Knoxville, TN 37996, United States of America
- Materials Science and Technology Division, Oak Ridge National Laboratory, Oak Ridge, TN 37831, United States of America
| | - Chae Woo Ryu
- Shull-Wollan Center and Department of Materials Science and Engineering, University of Tennessee, Knoxville, TN 37996, United States of America
- Department of Materials Science and Engineering, Hongik University, Seoul 04066, Republic of Korea
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Mukhopadhyay S, Sharma R, Kim CK, Edkins SD, Hamidian MH, Eisaki H, Uchida SI, Kim EA, Lawler MJ, Mackenzie AP, Davis JCS, Fujita K. Evidence for a vestigial nematic state in the cuprate pseudogap phase. Proc Natl Acad Sci U S A 2019; 116:13249-54. [PMID: 31160468 DOI: 10.1073/pnas.1821454116] [Citation(s) in RCA: 37] [Impact Index Per Article: 7.4] [Reference Citation Analysis] [What about the content of this article? (0)] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
The CuO2 antiferromagnetic insulator is transformed by hole-doping into an exotic quantum fluid usually referred to as the pseudogap (PG) phase. Its defining characteristic is a strong suppression of the electronic density-of-states D(E) for energies |E| < [Formula: see text], where [Formula: see text] is the PG energy. Unanticipated broken-symmetry phases have been detected by a wide variety of techniques in the PG regime, most significantly a finite-Q density-wave (DW) state and a Q = 0 nematic (NE) state. Sublattice-phase-resolved imaging of electronic structure allows the doping and energy dependence of these distinct broken-symmetry states to be visualized simultaneously. Using this approach, we show that even though their reported ordering temperatures T DW and T NE are unrelated to each other, both the DW and NE states always exhibit their maximum spectral intensity at the same energy, and using independent measurements that this is the PG energy [Formula: see text] Moreover, no new energy-gap opening coincides with the appearance of the DW state (which should theoretically open an energy gap on the Fermi surface), while the observed PG opening coincides with the appearance of the NE state (which should theoretically be incapable of opening a Fermi-surface gap). We demonstrate how this perplexing phenomenology of thermal transitions and energy-gap opening at the breaking of two highly distinct symmetries may be understood as the natural consequence of a vestigial nematic state within the pseudogap phase of Bi2Sr2CaCu2O8.
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Brodsky DO, Barber ME, Bruin JAN, Borzi RA, Grigera SA, Perry RS, Mackenzie AP, Hicks CW. Strain and vector magnetic field tuning of the anomalous phase in Sr 3Ru 2O 7. Sci Adv 2017; 3:e1501804. [PMID: 28168216 PMCID: PMC5291698 DOI: 10.1126/sciadv.1501804] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 12/11/2015] [Accepted: 12/19/2016] [Indexed: 06/06/2023]
Abstract
A major area of interest in condensed matter physics is the way electrons in correlated electron materials can self-organize into ordered states, and a particularly intriguing possibility is that they spontaneously choose a preferred direction of conduction. The correlated electron metal Sr3Ru2O7 has an anomalous phase at low temperatures that features strong susceptibility toward anisotropic transport. This susceptibility has been thought to indicate a spontaneous anisotropy, that is, electronic order that spontaneously breaks the point-group symmetry of the lattice, allowing weak external stimuli to select the orientation of the anisotropy. We investigate further by studying the response of Sr3Ru2O7 in the region of phase formation to two fields that lift the native tetragonal symmetry of the lattice: in-plane magnetic field and orthorhombic lattice distortion through uniaxial pressure. The response to uniaxial pressure is surprisingly strong: Compressing the lattice by ~0.1% induces an approximately 100% transport anisotropy. However, neither the in-plane field nor the pressure phase diagrams are qualitatively consistent with spontaneous symmetry reduction. Instead, both are consistent with a multicomponent order parameter that is likely to preserve the point-group symmetry of the lattice, but is highly susceptible to perturbation.
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Affiliation(s)
- Daniel O. Brodsky
- Max Planck Institute for Chemical Physics of Solids, Nöthnitzer Straße 40, 01187 Dresden, Germany
- Scottish Universities Physics Alliance, School of Physics and Astronomy, North Haugh, University of St Andrews, St Andrews KY16 9SS, U.K
| | - Mark E. Barber
- Max Planck Institute for Chemical Physics of Solids, Nöthnitzer Straße 40, 01187 Dresden, Germany
- Scottish Universities Physics Alliance, School of Physics and Astronomy, North Haugh, University of St Andrews, St Andrews KY16 9SS, U.K
| | - Jan A. N. Bruin
- Scottish Universities Physics Alliance, School of Physics and Astronomy, North Haugh, University of St Andrews, St Andrews KY16 9SS, U.K
- Max Planck Institute for Solid State Physics, Heisenbergstraße 1, 70569 Stuttgart, Germany
| | - Rodolfo A. Borzi
- Instituto de Física de Líquidos y Sistemas Biológicos, Universidad Nacional de La Plata–Consejo Nacional de Investigaciones Científicas y Técnicas, 1900 La Plata, Argentina
| | - Santiago A. Grigera
- Scottish Universities Physics Alliance, School of Physics and Astronomy, North Haugh, University of St Andrews, St Andrews KY16 9SS, U.K
- Instituto de Física de Líquidos y Sistemas Biológicos, Universidad Nacional de La Plata–Consejo Nacional de Investigaciones Científicas y Técnicas, 1900 La Plata, Argentina
| | - Robin S. Perry
- London Centre for Nanotechnology, University College London, Gower Street, London WC1E 6BT, U.K
| | - Andrew P. Mackenzie
- Max Planck Institute for Chemical Physics of Solids, Nöthnitzer Straße 40, 01187 Dresden, Germany
- Scottish Universities Physics Alliance, School of Physics and Astronomy, North Haugh, University of St Andrews, St Andrews KY16 9SS, U.K
| | - Clifford W. Hicks
- Max Planck Institute for Chemical Physics of Solids, Nöthnitzer Straße 40, 01187 Dresden, Germany
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