Anomalous Hall effect in 2D Rashba ferromagnet

TL;DR

This paper reveals that skew scattering on rare impurity pairs dominates the anomalous Hall effect in 2D Rashba ferromagnets, providing a new theoretical understanding beyond traditional approximations.

Contribution

It introduces a novel mechanism involving rare impurity pairs that significantly impacts the anomalous Hall conductivity in 2D Rashba ferromagnets.

Findings

Skew scattering on impurity pairs dominates the AHE in the metallic regime.

The mechanism modifies previous results at lower energies.

The theory extends beyond the non-crossing approximation.

Abstract

Skew scattering on rare impurity configurations is shown to dominate the anomalous Hall effect in a 2D Rashba ferromagnet. The mechanism originates in scattering on rare impurity pairs separated by distances of the order of the Fermi wave length. Corresponding theoretical description goes beyond the conventional non-crossing approximation. The mechanism provides the only contribution to the anomalous Hall conductivity in the most relevant metallic regime and strongly modifies previously obtained results for lower energies in the leading order with respect to impurity strength.