Spin diffusion at finite electric and magnetic fields

TL;DR

This paper investigates how finite electric and magnetic fields influence spin diffusion, deriving generalized equations that incorporate field-dependent length scales, applicable to various spin transport systems including magnetic multilayers and semiconductors.

Contribution

It introduces a generalized spin diffusion equation that explicitly accounts for electric and magnetic fields, expanding the theoretical framework for spin transport analysis.

Findings

Field-dependent length scales in spin diffusion equations

Generalized equations applicable to multilayers and heterostructures

Illustrative example of spin injection into semiconductors

Abstract

Spin transport properties at finite electric and magnetic fields are studied by using the generalized semiclassical Boltzmann equation. It is found that the spin diffusion equation for non-equilibrium spin density and spin currents involves a number of length scales that explicitly depend on the electric and magnetic fields. The set of macroscopic equations can be used to address a broad range of the spin transport problems in magnetic multilayers as well as in semiconductor heterostructure. A specific example of spin injection into semiconductors at arbitrary electric and magnetic fields is illustrated.