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Title: Thermal conductivity of the degenerate one-dimensional Fermi gas

Abstract

We study here heat transport in a gas of one-dimensional fermions in the presence of a small temperature gradient. At temperatures well below the Fermi energy there are two types of relaxation processes in this system, with dramatically different relaxation rates. As a result, in addition to the usual thermal conductivity, one can introduce the thermal conductivity of the gas of elementary excitations, which quantifies the dissipation in the system in the broad range of frequencies between the two relaxation rates. We develop a microscopic theory of these transport coefficients in the limit of weak interactions between the fermions.

Authors:
 [1];  [2]
  1. Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
  2. Univ. of Toulouse (France). Lab. of Theoretical Physics
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States); Univ. of Toulouse (France)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Research Agency (ANR) (France)
OSTI Identifier:
1514266
Alternate Identifier(s):
OSTI ID: 1509764
Grant/Contract Number:  
AC02-06CH11357; ANR-17-EURE-0009
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 15; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; thermal conductivity; 1-dimensional systems

Citation Formats

Matveev, K. A., and Ristivojevic, Zoran. Thermal conductivity of the degenerate one-dimensional Fermi gas. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.99.155428.
Matveev, K. A., & Ristivojevic, Zoran. Thermal conductivity of the degenerate one-dimensional Fermi gas. United States. https://doi.org/10.1103/PhysRevB.99.155428
Matveev, K. A., and Ristivojevic, Zoran. Mon . "Thermal conductivity of the degenerate one-dimensional Fermi gas". United States. https://doi.org/10.1103/PhysRevB.99.155428. https://www.osti.gov/servlets/purl/1514266.
@article{osti_1514266,
title = {Thermal conductivity of the degenerate one-dimensional Fermi gas},
author = {Matveev, K. A. and Ristivojevic, Zoran},
abstractNote = {We study here heat transport in a gas of one-dimensional fermions in the presence of a small temperature gradient. At temperatures well below the Fermi energy there are two types of relaxation processes in this system, with dramatically different relaxation rates. As a result, in addition to the usual thermal conductivity, one can introduce the thermal conductivity of the gas of elementary excitations, which quantifies the dissipation in the system in the broad range of frequencies between the two relaxation rates. We develop a microscopic theory of these transport coefficients in the limit of weak interactions between the fermions.},
doi = {10.1103/PhysRevB.99.155428},
journal = {Physical Review B},
number = 15,
volume = 99,
place = {United States},
year = {Mon Apr 29 00:00:00 EDT 2019},
month = {Mon Apr 29 00:00:00 EDT 2019}
}

Journal Article:

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Cited by: 11 works
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Works referenced in this record:

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Hybrid Sound Modes in One-Dimensional Quantum Liquids
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  • Lunde, Anders Mathias; Flensberg, Karsten; Glazman, Leonid I.
  • Physical Review B, Vol. 75, Issue 24
  • DOI: 10.1103/PhysRevB.75.245418

Propagation and attenuation of sound in one-dimensional quantum liquids
journal, October 2018


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journal, September 2013


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Works referencing / citing this record:

Entropy production in one-dimensional quantum fluids
journal, October 2019