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Title: Translationally Invariant Non-Fermi-Liquid Metals with Critical Fermi Surfaces: Solvable Models

Abstract

We construct examples of translationally invariant solvable models of strongly correlated metals, composed of lattices of Sachdev-Ye-Kitaev dots with identical local interactions. These models display crossovers as a function of temperature into regimes with local quantum criticality and marginal-Fermi-liquid behavior. In the marginal-Fermi-liquid regime, the dc resistivity increases linearly with temperature over a broad range of temperatures. By generalizing the form of interactions, we also construct examples of non-Fermi liquids with critical Fermi surfaces. The self-energy has a singular frequency dependence but lacks momentum dependence, reminiscent of a dynamical mean-field-theory-like behavior but in dimensions d < ∞ . In the low-temperature and strong-coupling limit, a heavy Fermi liquid is formed. The critical Fermi surface in the non-Fermi-liquid regime gives rise to quantum oscillations in the magnetization as a function of an external magnetic field in the absence of quasiparticle excitations. We discuss the implications of these results for local quantum criticality and for fundamental bounds on relaxation rates. Drawing on the lessons from these models, we formulate conjectures on coarse-grained descriptions of a class of intermediate-scale non-Fermi-liquid behavior in generic correlated metals.

Authors:
; ; ;
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1461615
Alternate Identifier(s):
OSTI ID: 1541406; OSTI ID: 1545720
Grant/Contract Number:  
SC0008739
Resource Type:
Published Article
Journal Name:
Physical Review. X
Additional Journal Information:
Journal Volume: 8; Journal Issue: 3; Journal ID: ISSN 2160-3308
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
Physics; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Chowdhury, Debanjan, Werman, Yochai, Berg, Erez, and Senthil, T. Translationally Invariant Non-Fermi-Liquid Metals with Critical Fermi Surfaces: Solvable Models. United States: N. p., 2018. Web. doi:10.1103/physrevx.8.031024.
Chowdhury, Debanjan, Werman, Yochai, Berg, Erez, & Senthil, T. Translationally Invariant Non-Fermi-Liquid Metals with Critical Fermi Surfaces: Solvable Models. United States. doi:10.1103/physrevx.8.031024.
Chowdhury, Debanjan, Werman, Yochai, Berg, Erez, and Senthil, T. Sun . "Translationally Invariant Non-Fermi-Liquid Metals with Critical Fermi Surfaces: Solvable Models". United States. doi:10.1103/physrevx.8.031024.
@article{osti_1461615,
title = {Translationally Invariant Non-Fermi-Liquid Metals with Critical Fermi Surfaces: Solvable Models},
author = {Chowdhury, Debanjan and Werman, Yochai and Berg, Erez and Senthil, T.},
abstractNote = {We construct examples of translationally invariant solvable models of strongly correlated metals, composed of lattices of Sachdev-Ye-Kitaev dots with identical local interactions. These models display crossovers as a function of temperature into regimes with local quantum criticality and marginal-Fermi-liquid behavior. In the marginal-Fermi-liquid regime, the dc resistivity increases linearly with temperature over a broad range of temperatures. By generalizing the form of interactions, we also construct examples of non-Fermi liquids with critical Fermi surfaces. The self-energy has a singular frequency dependence but lacks momentum dependence, reminiscent of a dynamical mean-field-theory-like behavior but in dimensions d < ∞ . In the low-temperature and strong-coupling limit, a heavy Fermi liquid is formed. The critical Fermi surface in the non-Fermi-liquid regime gives rise to quantum oscillations in the magnetization as a function of an external magnetic field in the absence of quasiparticle excitations. We discuss the implications of these results for local quantum criticality and for fundamental bounds on relaxation rates. Drawing on the lessons from these models, we formulate conjectures on coarse-grained descriptions of a class of intermediate-scale non-Fermi-liquid behavior in generic correlated metals.},
doi = {10.1103/physrevx.8.031024},
journal = {Physical Review. X},
number = 3,
volume = 8,
place = {United States},
year = {2018},
month = {7}
}

Journal Article:
Free Publicly Available Full Text
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DOI: 10.1103/physrevx.8.031024

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