# Semiclassical Boltzmann theory of spin Hall effects in giant Rashba systems

## TL;DR

This paper develops a semiclassical Boltzmann theory for the spin Hall effect in systems with strong spin-orbit coupling, incorporating disorder effects like side-jump, and applies it to Rashba systems showing enhanced spin Hall angles with magnetic impurities.

## Contribution

It introduces a novel semiclassical Boltzmann framework that includes the spin-current-side-jump velocity, addressing a gap in understanding disorder effects in spin Hall phenomena.

## Key findings

- Enhanced spin Hall angle with magnetic impurities in Rashba systems.
- Largely increased spin Hall effect when only the lower Rashba band is occupied.
- Theoretical framework applicable to strong spin-orbit coupled materials.

## Abstract

For the spin Hall effect arising from strong band-structure spin-orbit coupling, a semiclassical Boltzmann theory reasonably addressing the intriguing disorder effect called side-jump is still absent. In this paper we describe such a theory of which the key ingredient is the spin-current-counterpart of the semiclassical side-jump velocity (introduced in the context of the anomalous Hall effect). Applying this theory to spin Hall effects in a two-dimensional electron gas with giant Rashba spin-orbit coupling, we find largely enhanced spin Hall angle in the presence of magnetic impurities when only the lower Rashba band is partially occupied.