Berry-curvatures and anomalous Hall effect in Heusler compounds

TL;DR

This study calculates Berry curvatures and anomalous Hall conductivities in Heusler compounds using density functional theory, comparing results with experiments and analyzing the influence of band structure and Fermi surface topology.

Contribution

It provides a computational approach to evaluate Berry curvatures and anomalous Hall effects in Heusler compounds, linking electronic structure to transport properties.

Findings

Large variation in anomalous Hall conductivities observed.

Qualitative understanding achieved through band structure analysis.

Comparison with experimental data for specific compounds.

Abstract

Berry curvatures are computed for a set of Heusler compounds using density functional (DF) calculations and the wave functions that DF provide. The anomalous Hall conductivity is obtained from the Berry curvatures. It is compared with experimental values in the case of Co$_2$CrAl and Co$_2$MnAl. A notable trend cannot be seen but the range of values is quite enormous. The results for the anomalous Hall conductivities and their large variations can be qualitatively understood by means of the band structure and the Fermi-surface topology.