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:
-
- 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)
- 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. https://doi.org/10.1103/PhysRevLett.114.236405
DeGottardi, Wade, and Matveev, K. A. Fri .
"Electrical and Thermal Transport in Inhomogeneous Luttinger Liquids". United States. https://doi.org/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 = {Fri Jun 12 00:00:00 EDT 2015},
month = {Fri Jun 12 00:00:00 EDT 2015}
}
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Works referencing / citing this record:
Viscous magnetoresistance of correlated electron liquids
text, January 2016
- Levchenko, Alex; Xie, Hong-Yi; Andreev, A. V.
- arXiv