Correlations between spin accumulation and degree of time-inverse breaking for electron gas in solid

TL;DR

This paper presents a new model for electron spin behavior in solids, showing how spin groups are conserved after scattering and explaining magnetic properties, spin distribution, and spin-transfer torque.

Contribution

It introduces a novel division of conduction electrons into symmetry-based groups that remain conserved, improving the understanding of magnetic phenomena and spin dynamics.

Findings

Electron spin may not be conserved after spin-independent scattering.

Electrons can be divided into two symmetry-based groups with conserved numbers.

The model explains spin distribution, Pauli paramagnetism, and spin-transfer torque.

Abstract

It is shown that the electron spin may not be conserved after a spin-independent scattering. This fact strongly limits the validity of the classical model of spin-up/spin-down bands, which has been used for description of magnetic properties of conduction electrons. It is shown that it is possible to divide all conduction electrons into two group distinguished by their symmetry for time reversal. The number of electrons in each group is conserved after a spin-independent scattering. This makes it convenient to use these groups for describing of the magnetic properties of conduction electrons. The energy distribution of spins, the Pauli paramagnetism and the spin distribution in the ferromagnetic metals are described within the presented model. The effects of spin torque and spin-torque current are described. The origin of spin-transfer torque is explained within presented model.