Temperature dependence of the anomalous Hall conductivity in the Heusler alloyCo2CrAl

Abstract

The Heusler alloy, ${\mathrm{Co}}_2\mathrm{Cr}\mathrm{Al}$, is an itinerant magnet that orders at $T=333\mathrm{K}$. We have measured its temperature-dependent anomalous Hall effect and magnetoresistance from room temperature down to low temperatures. The magnetoresistance is positive and very small. The anomalous Hall conductivity follows the magnetization with the ratio of the two quantities being constant over the whole temperature range, suggesting that the origin of the anomalous Hall effect is intrinsic.