Thermal conductivity of the degenerate one-dimensional Fermi gas

Journal Article · Mon Apr 29 00:00:00 EDT 2019 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.99.155428· OSTI ID:1514266

Matveev, K. A. ^[1]; Ristivojevic, Zoran ^[2]

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1. Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
2. Univ. of Toulouse (France). Lab. of Theoretical Physics

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.

• Research Organization: Argonne National Lab. (ANL), Argonne, IL (United States); Univ. of Toulouse (France)
• Sponsoring Organization: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Research Agency (ANR) (France)
• Grant/Contract Number: AC02-06CH11357; ANR-17-EURE-0009
• OSTI ID: 1514266
• Alternate ID(s): OSTI ID: 1509764
• Journal Information: Physical Review B, Vol. 99, Issue 15; ISSN 2469-9950
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
thermal conductivity
1-dimensional systems