Anomalous Hall effect as a probe of the chiral order in spin glasses

TL;DR

This paper proposes using the anomalous Hall effect as a novel method to detect chiral order in spin glasses, providing direct insights into their chiral susceptibilities which are difficult to measure otherwise.

Contribution

It introduces the anomalous Hall effect as a new experimental probe for chiral order in spin glasses, linking Hall measurements to chiral susceptibilities.

Findings

Hall coefficient reflects chiral susceptibilities

Predictions for Hall resistivity behavior in spin glasses

Potential for new experimental insights into chiral order

Abstract

Anomalous Hall effect arising from the noncoplanar spin configuration (chirality) is discussed as a probe of the chiral order in spin glasses. It is shown that the Hall coefficient yields direct information about the linear and nonlinear chiral susceptibilities of the spin sector, which has been hard to obtain experimentally from the standard magnetic measurements. Based on the chirality scenario of spin-glass transition, predictions are given on the behavior of the Hall resistivity of canonical spin glasses.