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:
-
- Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
- 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}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Cited by: 11 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Equilibration of a spinless Luttinger liquid
journal, January 2012
- Matveev, K. A.; Andreev, A. V.
- Physical Review B, Vol. 85, Issue 4
Hybrid Sound Modes in One-Dimensional Quantum Liquids
journal, July 2018
- Matveev, K. A.; Andreev, A. V.
- Physical Review Letters, Vol. 121, Issue 2
Electrical and Thermal Transport in Inhomogeneous Luttinger Liquids
journal, June 2015
- DeGottardi, Wade; Matveev, K. A.
- Physical Review Letters, Vol. 114, Issue 23
Scattering of hole excitations in a one-dimensional spinless quantum liquid
journal, July 2012
- Matveev, K. A.; Andreev, A. V.
- Physical Review B, Vol. 86, Issue 4
Thermal conduction in classical low-dimensional lattices
journal, April 2003
- Lepri, S.
- Physics Reports, Vol. 377, Issue 1
Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
journal, October 2007
- Khodas, M.; Pustilnik, M.; Kamenev, A.
- Physical Review B, Vol. 76, Issue 15
Relaxation of weakly interacting electrons in one dimension
journal, April 2013
- Ristivojevic, Zoran; Matveev, K. A.
- Physical Review B, Vol. 87, Issue 16
Kinetics of Mobile Impurities and Correlation Functions in One-Dimensional Superfluids at Finite Temperature
journal, April 2014
- Arzamasovs, M.; Bovo, F.; Gangardt, D. M.
- Physical Review Letters, Vol. 112, Issue 17
Relaxation in Luttinger liquids: Bose-Fermi duality
journal, September 2014
- Protopopov, I. V.; Gutman, D. B.; Mirlin, A. D.
- Physical Review B, Vol. 90, Issue 12
Energy Relaxation and Thermalization of Hot Electrons in Quantum Wires
journal, November 2010
- Karzig, Torsten; Glazman, Leonid I.; von Oppen, Felix
- Physical Review Letters, Vol. 105, Issue 22
Second Sound in Systems of One-Dimensional Fermions
journal, December 2017
- Matveev, K. A.; Andreev, A. V.
- Physical Review Letters, Vol. 119, Issue 26
The transport coefficients of a fermi liquid
journal, January 1970
- Sykes, J.; Brooker, G. A.
- Annals of Physics, Vol. 56, Issue 1
Three-particle collisions in quantum wires: Corrections to thermopower and conductance
journal, June 2007
- Lunde, Anders Mathias; Flensberg, Karsten; Glazman, Leonid I.
- Physical Review B, Vol. 75, Issue 24
Propagation and attenuation of sound in one-dimensional quantum liquids
journal, October 2018
- Matveev, K. A.; Andreev, A. V.
- Physical Review B, Vol. 98, Issue 15
Transport properties of partially equilibrated quantum wires
journal, March 2010
- Micklitz, Tobias; Rech, Jérôme; Matveev, K. A.
- Physical Review B, Vol. 81, Issue 11
Equilibration of a one-dimensional quantum liquid
journal, September 2013
- Matveev, K. A.
- Journal of Experimental and Theoretical Physics, Vol. 117, Issue 3
One-dimensional quantum liquids: Beyond the Luttinger liquid paradigm
journal, September 2012
- Imambekov, Adilet; Schmidt, Thomas L.; Glazman, Leonid I.
- Reviews of Modern Physics, Vol. 84, Issue 3
'Luttinger liquid theory' of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas
journal, July 1981
- Haldane, F. D. M.
- Journal of Physics C: Solid State Physics, Vol. 14, Issue 19
Decay of Fermionic Quasiparticles in One-Dimensional Quantum Liquids
journal, December 2013
- Matveev, K. A.; Furusaki, A.
- Physical Review Letters, Vol. 111, Issue 25
Viscous Dissipation in One-Dimensional Quantum Liquids
journal, July 2017
- Matveev, K. A.; Pustilnik, M.
- Physical Review Letters, Vol. 119, Issue 3
Works referencing / citing this record:
Entropy production in one-dimensional quantum fluids
journal, October 2019
- Idrisov, Edvin G.; Schmidt, Thomas L.
- Physical Review B, Vol. 100, Issue 16