Sensitivity of anomalous Hall effect to disorder correlations

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.

arXiv comment14 pages, 4 figures

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• Quantum kinetics of anomalous and nonlinear Hall effects in topological semimetals
• Sign change in the anomalous Hall effect and strong transport effects in a 2D massive Dirac metal due to spin-charge correlated disorder
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• Theory of phonon side jump contribution in Anomalous Hall transport
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• Disorder Induced Anomalous Hall Effect in Type-I Weyl Metals: Connection between the Kubo-Streda Formula in the Spin and Chiral basis
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• Thermal generation of shift electric current
• The Anomalous Hall Effect in Magnetic Topological Insulators
• Spin-torque resonance due to diffusive dynamics at a surface of topological insulator
• First-order effect of electron-electron interactions on the anomalous Hall conductivity of massive Dirac fermions
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