Berry's phase contribution to the anomalous Hall effect of gadolinium

TL;DR

This paper investigates how Berry's phase influences the anomalous Hall effect in gadolinium, revealing a significant contribution through experimental measurements and scaling analysis of Hall resistivity, magnetoresistance, and magnetization.

Contribution

It provides experimental evidence for Berry's phase contribution to the anomalous Hall effect in gadolinium, a double-exchange magnet, through high-field measurements and scaling analysis.

Findings

Berry's phase contributes to the AHE in gadolinium

Hall resistivity scales with magnetization indicating Berry's phase influence

Measurements are consistent with previous data across a wide temperature range

Abstract

When conduction electrons are forced to follow the local spin texture, the resulting Berry phase can induce an anomalous Hall effect (AHE). In gadolinium, as in double-exchange magnets, the exchange interaction is mediated by the conduction electrons and the AHE may therefore resemble that of chromium dioxide and other metallic double-exchange ferromagnets. The Hall resistivity, magnetoresistance, and magnetization of single crystal gadolinium were measured in fields up to 30 T. Measurements between 2 K and 400 K are consistent with previously reported data. A scaling analysis for the Hall resistivity as a function of the magnetization suggests the presence of a Berry's-phase contribution to the anomalous Hall effect.