Multivariable Scaling for the Anomalous Hall Effect

TL;DR

This paper introduces a comprehensive scaling relation for the anomalous Hall effect in ferromagnetic metals that accounts for multiple scattering mechanisms, supported by experimental evidence showing deviations from earlier models.

Contribution

It presents a new quadratic hypersurface model for the anomalous Hall effect that explains experimental deviations caused by competing scattering mechanisms.

Findings

Experimental data show deviations from previous scaling laws.

The new model accurately describes the interplay of multiple scattering mechanisms.

The theory provides a unified framework for understanding the anomalous Hall effect.

Abstract

We derive a general scaling relation for the anomalous Hall effect in ferromagnetic metals involving multiple competing scattering mechanisms, described by a quadratic hypersurface in the space spanned by the partial resistivities. We also present experimental findings, which show strong deviation from previously found scaling forms when different scattering mechanism compete in strength but can be nicely explained by our theory.