A solution of the Boltzmann transport equations for spin and charge transport in a solid. Spin Proximity effect

TL;DR

This paper develops a modified Boltzmann transport equation to better describe spin and charge transport in solids, accounting for electron wave types and spin non-conservation, predicting enhanced spin detection and injection near interfaces.

Contribution

It introduces two key modifications to the Boltzmann equation to incorporate electron wave types and spin non-conservation, advancing understanding of spin transport phenomena.

Findings

Enhanced spin detection and injection efficiencies near interfaces.

Physical mechanism for increased spin accumulation via Hall effect.

Descriptions of spin proximity, injection, and detection effects.

Abstract

A solution of the modified Boltzmann transport equations is found, which describes features of the spin and charge transport in a solid. Two modifications of the Boltzmann transport equation were introduced. The first modification describes the fact that a delocalized electrons can either be of the running-wave type or the standing-wave type and electrons of different types contribute differently to the transport. The second modification includes the fact that the direction of the electron spin may not be conserved after frequent electron scatterings. The origins and features of the spin proximity, spin injection and spin detection effects are described. An enhancement of spin detection and spin injection efficiencies in the vicinity of an interface are predicted. The physical mechanism of an enlargement of spin accumulation due to the conventional Hall effect is described.