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Title: Electrical and Thermal Transport in Inhomogeneous Luttinger Liquids

Abstract

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.

Authors:
 [1];  [1]
  1. Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1356647
Alternate Identifier(s):
OSTI ID: 1184442
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 114; Journal Issue: 23; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

DeGottardi, Wade, and Matveev, K. A.. Electrical and Thermal Transport in Inhomogeneous Luttinger Liquids. United States: N. p., 2015. Web. doi:10.1103/PhysRevLett.114.236405.
DeGottardi, Wade, & Matveev, K. A.. Electrical and Thermal Transport in Inhomogeneous Luttinger Liquids. United States. doi:10.1103/PhysRevLett.114.236405.
DeGottardi, Wade, and Matveev, K. A.. Fri . "Electrical and Thermal Transport in Inhomogeneous Luttinger Liquids". United States. doi:10.1103/PhysRevLett.114.236405. https://www.osti.gov/servlets/purl/1356647.
@article{osti_1356647,
title = {Electrical and Thermal Transport in Inhomogeneous Luttinger Liquids},
author = {DeGottardi, Wade and Matveev, K. A.},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.114.236405},
journal = {Physical Review Letters},
number = 23,
volume = 114,
place = {United States},
year = {2015},
month = {6}
}

Journal Article:
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Cited by: 5 works
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