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Keski-Rahkonen J, Ouyang X, Yuan S, Graf AM, Aydin A, Heller EJ. Quantum-Acoustical Drude Peak Shift. PHYSICAL REVIEW LETTERS 2024; 132:186303. [PMID: 38759174 DOI: 10.1103/physrevlett.132.186303] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/15/2023] [Accepted: 03/18/2024] [Indexed: 05/19/2024]
Abstract
Quantum acoustics-a recently developed framework parallel to quantum optics-establishes a nonperturbative and coherent treatment of the electron-phonon interaction in real space. The quantum-acoustical representation reveals a displaced Drude peak hiding in plain sight within the venerable Fröhlich model: the optical conductivity exhibits a finite frequency maximum in the far-infrared range and the dc conductivity is suppressed. Our results elucidate the origin of the high-temperature absorption peaks in strange or bad metals, revealing that dynamical lattice disorder steers the system towards a non-Drude behavior.
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Affiliation(s)
- Joonas Keski-Rahkonen
- Department of Physics, Harvard University, Harvard University, Cambridge, Massachusetts 02138, USA
- Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts 02138, USA
| | - Xiaoyu Ouyang
- Yuanpei College, Peking University, No. 5 Yiheyuan Road, Beijing 100871, China
- School of Physics, Peking University, No. 5 Yiheyuan Road, Beijing 100871, China
| | - Shaobing Yuan
- School of Physics, Peking University, No. 5 Yiheyuan Road, Beijing 100871, China
| | - Anton M Graf
- Harvard John A. Paulson School of Engineering and Applied Sciences, Harvard, Cambridge, Massachusetts 02138, USA
| | - Alhun Aydin
- Department of Physics, Harvard University, Harvard University, Cambridge, Massachusetts 02138, USA
- Faculty of Engineering and Natural Sciences, Sabanci University, 34956 Tuzla, Istanbul, Türkiye
| | - Eric J Heller
- Department of Physics, Harvard University, Harvard University, Cambridge, Massachusetts 02138, USA
- Department of Chemistry and Chemical Biology, Harvard University, Cambridge, Massachusetts 02138, USA
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Singh H, Vasseur R, Gopalakrishnan S. Fredkin Staircase: An Integrable System with a Finite-Frequency Drude Peak. PHYSICAL REVIEW LETTERS 2023; 130:046001. [PMID: 36763442 DOI: 10.1103/physrevlett.130.046001] [Citation(s) in RCA: 1] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/21/2022] [Revised: 01/08/2023] [Accepted: 01/10/2023] [Indexed: 06/18/2023]
Abstract
We introduce and explore an interacting integrable cellular automaton, the Fredkin staircase, that lies outside the existing classification of such automata, and has a structure that seems to lie beyond that of any existing Bethe-solvable model. The Fredkin staircase has two families of ballistically propagating quasiparticles, each with infinitely many species. Despite the presence of ballistic quasiparticles, charge transport is diffusive in the dc limit, albeit with a highly non-Gaussian dynamic structure factor. Remarkably, this model exhibits persistent temporal oscillations of the current, leading to a delta-function singularity (Drude peak) in the ac conductivity at nonzero frequency. We analytically construct an extensive set of operators that anticommute with the time-evolution operator; the existence of these operators both demonstrates the integrability of the model and allows us to lower bound the weight of this finite-frequency singularity.
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Affiliation(s)
- Hansveer Singh
- Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA
| | - Romain Vasseur
- Department of Physics, University of Massachusetts, Amherst, Massachusetts 01003, USA
| | - Sarang Gopalakrishnan
- Department of Physics, Pennsylvania State University, University Park Pennsylvania 16802, USA
- Department of Electrical and Computer Engineering, Princeton University, Princeton New Jersey 08544, USA
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Pustogow A, Saito Y, Löhle A, Sanz Alonso M, Kawamoto A, Dobrosavljević V, Dressel M, Fratini S. Rise and fall of Landau's quasiparticles while approaching the Mott transition. Nat Commun 2021; 12:1571. [PMID: 33692366 PMCID: PMC7977040 DOI: 10.1038/s41467-021-21741-z] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 11/09/2020] [Accepted: 02/08/2021] [Indexed: 11/09/2022] Open
Abstract
Landau suggested that the low-temperature properties of metals can be understood in terms of long-lived quasiparticles with all complex interactions included in Fermi-liquid parameters, such as the effective mass m⋆. Despite its wide applicability, electronic transport in bad or strange metals and unconventional superconductors is controversially discussed towards a possible collapse of the quasiparticle concept. Here we explore the electrodynamic response of correlated metals at half filling for varying correlation strength upon approaching a Mott insulator. We reveal persistent Fermi-liquid behavior with pronounced quadratic dependences of the optical scattering rate on temperature and frequency, along with a puzzling elastic contribution to relaxation. The strong increase of the resistivity beyond the Ioffe–Regel–Mott limit is accompanied by a ‘displaced Drude peak’ in the optical conductivity. Our results, supported by a theoretical model for the optical response, demonstrate the emergence of a bad metal from resilient quasiparticles that are subject to dynamical localization and dissolve near the Mott transition. Charge transport in strongly correlated electron systems is not fully understood. Here, the authors show that resilient quasiparticles at finite frequency persist into the bad-metal regime near a Mott insulator, where dynamical localization results in a ‘displaced Drude peak’ and strongly enhanced dc resistivity.
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Affiliation(s)
- Andrej Pustogow
- 1. Physikalisches Institut, Universität Stuttgart, 70569, Stuttgart, Germany. .,Department of Physics and Astronomy, UCLA, Los Angeles, CA, USA. .,Institute of Solid State Physics, Vienna University of Technology, Vienna, Austria.
| | - Yohei Saito
- 1. Physikalisches Institut, Universität Stuttgart, 70569, Stuttgart, Germany.,Department of Physics, Graduate School of Science, Hokkaido University, Sapporo, Japan
| | - Anja Löhle
- 1. Physikalisches Institut, Universität Stuttgart, 70569, Stuttgart, Germany
| | - Miriam Sanz Alonso
- 1. Physikalisches Institut, Universität Stuttgart, 70569, Stuttgart, Germany
| | - Atsushi Kawamoto
- Department of Physics, Graduate School of Science, Hokkaido University, Sapporo, Japan
| | - Vladimir Dobrosavljević
- Department of Physics and National High Magnetic Field Laboratory, Florida State University, Tallahassee, FL, USA
| | - Martin Dressel
- 1. Physikalisches Institut, Universität Stuttgart, 70569, Stuttgart, Germany.
| | - Simone Fratini
- Institut Néel - CNRS and Université Grenoble Alpes, Grenoble Cedex 9, France.
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Abstract
An account is given of the main steps that led the research group in Rome, to which the author belongs, to the formulation of the charge-density-wave scenario for high- T c superconducting cuprates. The early finding of the generic tendency of strongly correlated electron systems with short range interactions to undergo electron phase separation was subsequently contrasted with the homogenizing effect of the long-range Coulomb interaction. The two effects can find a compromise in the formation of incommensurate charge density waves. These charge density waves are inherently dynamical and are overdamped as a consequence of the possibility to decay in electron-hole pairs, yet tend to maintain a (quantum) critical character, which is mirrored in their marked momentum and frequency dependence and in their strong variation with temperature and doping. These dynamical incommensurate charge density waves act as mediators of pairing lading to high- T c superconductivity, and provide the scattering mechanism that produces the observed violation of the Fermi-liquid paradigm in the metallic phase.
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Cano-Cortés L, Merino J, Fratini S. Quantum critical behavior of electrons at the edge of charge order. PHYSICAL REVIEW LETTERS 2010; 105:036405. [PMID: 20867785 DOI: 10.1103/physrevlett.105.036405] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/12/2010] [Indexed: 05/29/2023]
Abstract
We consider quantum critical points in which quantum fluctuations associated with charge rather than magnetic order induce unconventional metallic properties. Based on finite-T calculations on a two-dimensional extended Hubbard model, we show how the coherence scale T(*) characteristic of Fermi liquid behavior of the homogeneous metal vanishes at the onset of charge order. A strong effective mass enhancement reminiscent of heavy fermion behavior indicates the possible destruction of quasiparticles at the quantum critical points. Experimental probes on quarter-filled layered organic materials are proposed for unveiling the behavior of electrons across the quantum critical region.
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Affiliation(s)
- L Cano-Cortés
- Departamento de Física Teórica de la Materia Condensada, Universidad Autónoma de Madrid, Madrid 28049, Spain
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Caprara S, Di Castro C, Grilli M, Suppa D. Charge-fluctuation contribution to the Raman response in superconducting cuprates. PHYSICAL REVIEW LETTERS 2005; 95:117004. [PMID: 16197036 DOI: 10.1103/physrevlett.95.117004] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/27/2005] [Indexed: 05/04/2023]
Abstract
We calculate the Raman response contribution due to soft collective modes, finding a strong dependence on the photon polarizations and on the characteristic wave vectors of the modes. We compare our results with recent Raman spectroscopy experiments in underdoped cuprates, La2-xSrxCuO4 and (Y1.97Ca0.3)Ba2CuO6.05, where anomalous low-energy peaks are observed, which soften upon lowering the temperature. We show that the specific dependence on doping and on photon polarizations of these peaks can naturally arise from charge collective excitations at finite wavelength.
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Affiliation(s)
- S Caprara
- Istituto Nazionale di Fisica della Materia, Unità Roma 1 and SMC Center, and Dipartimento di Fisica, Università di Roma La Sapienza piazzale Aldo Moro 5, I-00185 Roma, Italy
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Lorenzana J, Seibold G. Dynamics of metallic stripes in cuprates. PHYSICAL REVIEW LETTERS 2003; 90:066404. [PMID: 12633313 DOI: 10.1103/physrevlett.90.066404] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/06/2002] [Indexed: 05/24/2023]
Abstract
We study the dynamics of metallic vertical stripes in cuprates within the three-band Hubbard model based on a recently developed time-dependent Gutzwiller approximation. As doping increases, the optical conductivity shows transfer of spectral weight from the charge-transfer band towards (i) an incoherent band centered at 1.3 eV, (ii) a Drude peak, due mainly to motion along the stripe, and (iii) a low-energy collective mode which softens with doping and merges with (ii) at optimum doping in good agreement with experiment. The softening is related to the quasidegeneracy between Cu-centered and O-centered mean-field stripe solutions close to optimal doping.
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Affiliation(s)
- J Lorenzana
- CONICET, Centro Atómico Bariloche, 8400 S. C. de Bariloche, Argentina
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Lucarelli A, Lupi S, Ortolani M, Calvani P, Maselli P, Capizzi M, Giura P, Eisaki H, Kikugawa N, Fujita T, Fujita M, Yamada K. Phase diagram of La2-xSrxCuO4 probed in the infared: imprints of charge stripe excitations. PHYSICAL REVIEW LETTERS 2003; 90:037002. [PMID: 12570518 DOI: 10.1103/physrevlett.90.037002] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/26/2002] [Indexed: 05/24/2023]
Abstract
While there is increasing evidence for antiferromagnetic (AF) ordering in the Cu-O planes of high-T(c) superconductors, either static or fluctuating, there is no direct evidence so far for the charge stripes that should separate the AF domains. By investigating the optical response of La2-xSrxCuO4 for 0<or=x<or=0.26 and 30<or=T<or=295 K, we identify strong far infrared peaks whose energy, width, and intensity are consistent with a scenario of charge stripe dynamics in the Cu-O planes.
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Affiliation(s)
- A Lucarelli
- Coherentia-INFM and Dipartimento di Fisica, Università di Roma La Sapienza, Piazzale Aldo Moro 2, I-00185 Roma, Italy
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