Thermal conductivity of the degenerate one-dimensional Fermi gas

Abstract

We study 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.

17 pages

References in corpus (7)

• Fermi-Luttinger liquid: Spectral function of interacting one-dimensional fermions
• Three-particle collisions in quantum wires: Corrections to thermopower and conductance
• Energy relaxation and thermalization of hot electrons in quantum wires
• Relaxation in Luttinger liquids: Bose-Fermi duality
• Relaxation of weakly interacting electrons in one dimension
• Viscous Dissipation in One-Dimensional Quantum Liquids
• Second sound in systems of one-dimensional fermions

Cited by in corpus (8)

• Thermal Transport in One Dimensional Electronic Fluid
• Anomalous Hydrodynamics in One Dimensional Electronic Fluid
• The fate of quantum shock waves at late times
• Equilibration of Quasi-One-Dimensional Fermi Gases
• Viscous Properties of a Degenerate One-Dimensional Fermi Gas
• Relaxation of the degenerate one-dimensional Fermi gas
• Kinetic processes in Fermi-Luttinger liquids
• Viscous dissipation in a gas of one-dimensional fermions with generic dispersion