Electron spin resonance in metals with magnetic impurities

Abstract

Starting with s-d interaction and an impurity spin-orbit interaction inducing electron-lattice relaxation, the coupled Bloch equations describing the motion of the magnetization density in dilute magnetic alloys are derived. Temperature Green function methods and Abrikosov's pseudofermion representation for spin are used. Vertex equations, similar to those of Holstein (1964) are obtained, but the treatment is to a higher degree of accuracy. The frequency dependence of self energies and vertex equations is investigated. This is shown to be necessary to obtain results consistently to first order in concentration and second order in s-d interaction (Kondo term). The instantaneous local effective fields the magnetizations relax to are expressed as integrals over certain vertex functions. They are found to be different from the effective fields driving the magnetizations, a result which was first derived by Langreth and Wilkins (1972) using a different method.