Kinetic equations and combined influence of Fermi liquid and spin-orbit interactions on electron transport

B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine 47 Nauky Ave., Kharkiv, 61103, Ukraine

Received: 13 June 2025
Accepted: 18 August 2025

Abstract

We present the gradient-invariant kinetic equations for a system of correlated electrons with spin-orbit interaction which generalize the Landau-Silin equations. In the Landau-Silin theory, in the absence of an external magnetic field, the parameters of the Fermi liquid interaction enter into the kinetic equations only in gradient terms, which disappear in the case when high-frequency electromagnetic field is uniform. We show that when the spin-orbit interaction is taken into account, the kinetic coefficients explicitly depend on the constants of the Fermi liquid interaction even in a uniform alternating electromagnetic field.