Vertex Corrections on the Anomalous Hall Effect in Spin-polarized Two-dimensional Electron Gases with Rashba Spin-orbit Interaction

TL;DR

This paper investigates how disorder affects the anomalous Hall conductivity in spin-polarized 2D electron gases with Rashba spin-orbit coupling, revealing conditions under which it persists or vanishes.

Contribution

It demonstrates that the anomalous Hall conductivity depends on spin-dependent lifetime and magnetic impurities, providing new insights into disorder effects in spin-orbit coupled systems.

Findings

AH conductivity vanishes unless spin-dependent lifetime is present

SH conductivity persists with magnetic scatterers

Magnetic impurities can control SH conductivity

Abstract

We study the effect of disorder on the intrinsic anomalous Hall (AH) conductivity in a spin-polarized two-dimensional electron gas with a Rashba-type spin-orbit interaction. We find that AH conductivity vanishes unless the lifetime is spin-dependent, similar to the spin Hall (SH) conductivity in the non-magnetic system. In addition, we find that the SH conductivity does not vanish in the presence of magnetic scatterers. We show that the SH conductivity can be controlled by changing the amount of the magnetic impurities.