# Sign change in the anomalous Hall effect and strong transport effects in a 2D massive Dirac metal due to spin-charge correlated disorder

## TL;DR

This paper demonstrates how spin-charge correlated disorder in a 2D massive Dirac metal can significantly alter the anomalous Hall effect, including its sign, magnitude, and transport properties, with implications for experimental observations.

## Contribution

It reveals the impact of charge-spin disorder correlations on AHE and transport, introducing a mechanism for sign change and universal behavior in disordered topological systems.

## Key findings

- Correlations between charge and spin disorder affect conductivity and AHE.
- AHE can be enhanced or reversed due to disorder correlations.
- Sign change in AHE explained by anti-correlations reversing effective mass.

## Abstract

The anomalous Hall effect (AHE) is highly sensitive to disorder in the metallic phase. Here we show that statistical correlations between the charge and spin disorder sectors strongly affect both the longitudinal conductivity and the sign/magnitude of AHE. Correlations between mass and charge disorder can be absorbed into an effective mass. In general, random gauge fields are also present due to e.g. in-plane component of magnetization in topological insulator, causing an anisotropy in conductivity. As the correlation between the charge and gauge-mass components increases, so does the AHE, achieving its universal value, and even exceed it, although the system is an impure metal. The AHE can change sign when the anti-correlations reverse the effective mass, a possible mechanism behind the sign change seen in recent experiments.