Exact Perturbative Expansion of the Transport Coefficients of a Normal Low-Temperature Fermi Gas with Contact Interactions
Phys. Rev. Lett. 135, 183402 – Published 28 October, 2025
DOI: https://doi.org/10.1103/c6fd-x57s
Abstract
We compute the shear viscosity, thermal conductivity, and spin diffusivity of a Fermi gas with short-range interactions in the Fermi liquid regime of the normal phase, that is, at temperatures much lower than the Fermi temperature and larger than the superfluid critical temperature . In line with recent advances in the precision of cold atom experiments, we provide exact results up to the second order in the interaction strength. We extend the Landau-Salpeter equation to compute the collision amplitude beyond the forward-scattering limit, covering all collisions on the Fermi surface. We treat the collision kernel exactly, leading to significant corrections beyond relaxation-time or variational approximations. The transport coefficients, as functions of the wave scattering length and Fermi wave number , follow up to corrections of order , with a positive coefficient for the viscosity and negative one for the thermal conductivity and spin diffusivity.