Sensitivity of anomalous Hall effect to disorder correlations

TL;DR

This paper demonstrates that the anomalous Hall effect in 2D Dirac fermions is highly sensitive to disorder correlation properties, offering a new way to probe disorder correlations in materials.

Contribution

It reveals that anomalous Hall conductivity depends on disorder correlations rather than disorder strength, extending insights beyond the Dirac model.

Findings

Anomalous Hall conductivity varies with disorder correlation length.

Conductivity remains unaffected by the overall disorder strength.

The sensitivity to disorder correlations can be used as a diagnostic tool.

Abstract

Both longitudinal and anomalous Hall conductivity are computed in the model of two-dimensional Dirac fermions with a mass in the presence of arbitrary correlated weak disorder. The anomalous Hall conductivity is shown to be highly sensitive to the correlation properties of the random potential, such as the correlation length, while it remains independent of the integral disorder strength. This property extends beyond the Dirac model making the anomalous Hall effect an interesting tool to probe disorder correlations.