skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Bad Metallic Transport in a Modified Hubbard Model

Abstract

Strongly correlated metals often display anomalous transport, including T-linear resistivity above the Mott-Ioffe-Regel limit. We introduce a tractable microscopic model for bad metals, by restoring in the well-known Hubbard model—with hopping t and on-site repulsion U—a “screened Coulomb” interaction between charge densities that decays exponentially with spatial separation. This interaction lifts the extensive degeneracy in the spectrum of the t = 0 Hubbard model, allowing us to fully characterize the small t electric, thermal, and thermoelectric transport in our strongly correlated model. Throughout the phase diagram we observe T-linear resistivity above the Mott-Ioffe-Regel limit, together with strong violation of the Wiedemann-Franz law and a large thermopower that can undergo sign change.

Authors:
 [1];  [1];  [1]
  1. Stanford Univ., Stanford, CA (United States)
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1526408
Alternate Identifier(s):
OSTI ID: 1511878
Grant/Contract Number:  
AC02-76SF00515
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 122; Journal Issue: 18; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Mousatov, Connie H., Esterlis, Ilya, and Hartnoll, Sean A. Bad Metallic Transport in a Modified Hubbard Model. United States: N. p., 2019. Web. doi:10.1103/physrevlett.122.186601.
Mousatov, Connie H., Esterlis, Ilya, & Hartnoll, Sean A. Bad Metallic Transport in a Modified Hubbard Model. United States. https://doi.org/10.1103/physrevlett.122.186601
Mousatov, Connie H., Esterlis, Ilya, and Hartnoll, Sean A. Fri . "Bad Metallic Transport in a Modified Hubbard Model". United States. https://doi.org/10.1103/physrevlett.122.186601. https://www.osti.gov/servlets/purl/1526408.
@article{osti_1526408,
title = {Bad Metallic Transport in a Modified Hubbard Model},
author = {Mousatov, Connie H. and Esterlis, Ilya and Hartnoll, Sean A.},
abstractNote = {Strongly correlated metals often display anomalous transport, including T-linear resistivity above the Mott-Ioffe-Regel limit. We introduce a tractable microscopic model for bad metals, by restoring in the well-known Hubbard model—with hopping t and on-site repulsion U—a “screened Coulomb” interaction between charge densities that decays exponentially with spatial separation. This interaction lifts the extensive degeneracy in the spectrum of the t = 0 Hubbard model, allowing us to fully characterize the small t electric, thermal, and thermoelectric transport in our strongly correlated model. Throughout the phase diagram we observe T-linear resistivity above the Mott-Ioffe-Regel limit, together with strong violation of the Wiedemann-Franz law and a large thermopower that can undergo sign change.},
doi = {10.1103/physrevlett.122.186601},
url = {https://www.osti.gov/biblio/1526408}, journal = {Physical Review Letters},
issn = {0031-9007},
number = 18,
volume = 122,
place = {United States},
year = {2019},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 3 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Non-quasiparticle transport and resistivity saturation: a view from the large-N limit
journal, February 2017


Universality of the Mott–Ioffe–Regel limit in metals
journal, September 2004


Unconventional superconductivity in magic-angle graphene superlattices
journal, March 2018


Transport and optical conductivity in the Hubbard model: A high-temperature expansion perspective
journal, December 2016


Magnetotransport in a Model of a Disordered Strange Metal
journal, May 2018


Low-frequency conductivity in many-body localized systems
journal, September 2015


Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
journal, February 2016


Thermoelectric Response Near the Density Driven Mott Transition
journal, May 1998


Thermopower in the correlated hopping regime
journal, January 1976


Colloquium : Saturation of electrical resistivity
journal, October 2003


Conductivity of hard core bosons: A paradigm of a bad metal
journal, February 2010


Bad metallic transport in a cold atom Fermi-Hubbard system
journal, December 2018


Doping dependence of thermopower and thermoelectricity in strongly correlated materials
journal, March 2007


Statistical theory of transport by strongly interacting lattice fermions
journal, January 2006


Theory of universal incoherent metallic transport
journal, December 2014


Upper Bound on Diffusivity
journal, October 2017


Transport properties of strongly correlated metals: A dynamical mean-field approach
journal, March 2000


Superconductivity in Bad Metals
journal, April 1995


Bad-metallic behavior of doped Mott insulators
journal, January 2017


Strange metal from Gutzwiller correlations in infinite dimensions
journal, August 2017


Mott-Ioffe-Regel limit and resistivity crossover in a tractable electron-phonon model
journal, February 2016


Thermal transport for many-body tight-binding models
journal, March 2003


Electrodynamics of correlated electron materials
journal, June 2011


Bad-Metal Behavior Reveals Mott Quantum Criticality in Doped Hubbard Models
journal, June 2015


Translationally Invariant Non-Fermi-Liquid Metals with Critical Fermi Surfaces: Solvable Models
journal, July 2018


How Bad Metals Turn Good: Spectroscopic Signatures of Resilient Quasiparticles
journal, February 2013


Universal thermopower of bad metals
journal, April 2014


Strongly Correlated Metal Built from Sachdev-Ye-Kitaev Models
journal, November 2017


Non-Fermi-liquid regime of a doped Mott insulator
journal, February 1999


Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point
journal, April 2017


    Works referencing / citing this record:

    Hydrodynamic Coulomb drag and bounds on diffusion
    journal, December 2019


    Strange Metal in Magic-Angle Graphene with near Planckian Dissipation
    journal, February 2020


    Strange metallicity in the doped Hubbard model
    journal, November 2019