First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe

TL;DR

This paper presents a first principles computational approach to understanding the intrinsic anomalous Hall effect in ferromagnetic bcc Fe, linking it to Berry phase and accurately predicting Hall conductivities without adjustable parameters.

Contribution

It introduces a parameter-free, first principles method to calculate the intrinsic anomalous Hall conductivity in ferromagnetic bcc Fe based on Berry phase theory.

Findings

Intrinsic contribution to Hall conductivity identified

Method accurately predicts dc and magneto-optical Hall conductivities

No adjustable parameters needed for the calculations

Abstract

We perform a first principles calculation of the anomalous Hall effect in ferromagnetic bcc Fe. Our theory identifies an intrinsic contribution to the anomalous Hall conductivity and relates it to the k-space Berry phase of occupied Bloch states. The theory is able to account for both dc and magneto-optical Hall conductivities with no adjustable parameters.