Anomalous Hall effect in a two dimensional electron gas with magnetic impurities

TL;DR

This paper investigates how magnetic impurities influence the anomalous Hall effect in two-dimensional electron gases with Rashba spin-orbit coupling, revealing nonlinear behaviors and potential for resonant enhancement.

Contribution

It provides new insights into the nonlinear dependence of the anomalous Hall effect on impurity polarization and identifies conditions for resonant enhancement near spin saturation.

Findings

Nonlinear dependence of Hall conductivity on impurity polarization

Sign changes in Hall effect with impurity magnetization

Resonant enhancement near impurity spin saturation

Abstract

Magnetic impurities play an important role in many spintronics-related materials. Motivated by this fact, we study the anomalous Hall effect in the presence of magnetic impurities, focusing on two-dimensional electron systems with Rashba spin-orbit coupling. We find a highly nonlinear dependence on the impurity polarization, including possible sign changes. At small impurity magnetizations, this is a consequence of the remarkable result that the linear term is independent of the spin-orbit coupling strength. Near saturation of the impurity spins, the anomalous Hall conductivity can be resonantly enhanced, due to interference between potential and magnetic scattering.