Finite-Temperature Corrections to the Transport Coefficients of a Normal Fermi Liquid

Abstract

Finite-temperature corrections to the limiting low-temperature behavior of the thermal conductivity and spin-diffusion coefficient of a normal Fermi liquid are calculated using a quasiparticle Boltzmann equation which is solved by the variational method. For liquid ${\mathrm{He}}^3$ the most important corrections come from small momentum transfer processes, the amplitude for which can be determined exactly by using Landau theory. The expressions obtained are evaluated in detail, assuming that all Landau parameters vanish for $l>~2$, and comparison of theory with experiment yields an estimate for the previously undetermined Landau parameter ${F_1}^a$. The calculations are compared with calculations based on paramagnon theory.