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Title: Electrical and Thermal Transport in Inhomogeneous Luttinger Liquids

Journal Article · · Physical Review Letters
 [1];  [1]
  1. Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division

In this paper, we study the transport properties of long quantum wires by generalizing the Luttinger liquid approach to allow for the finite lifetime of the bosonic excitations. Our theory accounts for long-range disorder and strong electron interactions, both of which are common features of experiments with quantum wires. We obtain the electrical and thermal resistances and thermoelectric properties of such quantum wires and find a strong deviation from perfect conductance quantization. Finally, we cast our results in terms of the thermal conductivity and bulk viscosity of the electron liquid and give the temperature scale above which the transport can be described by classical hydrodynamics.

Research Organization:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-06CH11357
OSTI ID:
1356647
Alternate ID(s):
OSTI ID: 1184442
Journal Information:
Physical Review Letters, Vol. 114, Issue 23; ISSN 0031-9007
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 14 works
Citation information provided by
Web of Science

References (22)

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Hydrodynamic Description of Transport in Strongly Correlated Electron Systems journal June 2011
Transport in partially equilibrated inhomogeneous quantum wires journal September 2010
Anderson localization and interactions in one-dimensional metals journal January 1988
Transport in a one-channel Luttinger liquid journal February 1992
Single-barrier problem and Anderson localization in a one-dimensional interacting electron system journal February 1993
Landauer conductance of Luttinger liquids with leads journal August 1995
Renormalization of the one-dimensional conductance in the Luttinger-liquid model journal September 1995
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One-dimensional quantum liquids: Beyond the Luttinger liquid paradigm journal September 2012
Relaxation of weakly interacting electrons in one dimension journal April 2013
Thermalization of Acoustic Excitations in a Strongly Interacting One-Dimensional Quantum Liquid journal January 2013
Kinetics of Mobile Impurities and Correlation Functions in One-Dimensional Superfluids at Finite Temperature journal April 2014
Equilibration of Luttinger Liquid and Conductance of Quantum Wires journal July 2011
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Resistivity of Inhomogeneous Quantum Wires journal February 2008
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Possible Spin Polarization in a One-Dimensional Electron Gas journal July 1996
New directions with fewer dimensions journal October 2002

Cited By (1)

Viscous magnetoresistance of correlated electron liquids text January 2016

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