On the theory of polarized Fermi liquid

TL;DR

This paper derives the transport equation for transverse magnetization vibrations in spin-polarized Fermi liquids, establishes their dispersion law, and confirms zero-temperature spin-wave attenuation, discussing implications for ferromagnetic Fermi liquids.

Contribution

It provides a theoretical derivation of the transport equation and dispersion law for transverse spin waves in polarized Fermi liquids, including zero-temperature attenuation.

Findings

Dispersion law for transverse spin waves established

Zero-temperature spin-wave attenuation confirmed

Discussion on ferromagnetic Fermi liquids included

Abstract

The transport equation for transverse vibrations of magnetization in spin polarized Fermi liquid is derived from integral equation for the vertex function. The dispersion law for the transverse spin waves is established. The existance of zero-temperature spin-waves attenuation is confirmed. The problem of similar derivation in ferromagnetic "Fermi liquid" is discussed.