Extrinsic anomalous Hall conductivity of a topologically nontrivial conduction band

Abstract

A key step towards dissipationless transport devices is the quantum anomalous Hall effect, which is characterized by an integer quantized Hall conductance in a ferromagnetic insulator with strong spin-orbit coupling. In this work, the anomalous Hall effect due to the impurity scattering, namely the extrinsic anomalous Hall effect, is studied when the Fermi energy crosses with the topologically nontrivial conduction band of a quantum anomalous Hall system. Two major extrinsic contributions, the side-jump and skew-scattering Hall conductivities, are calculated using the diagrammatic techniques in which both nonmagnetic and magnetic scattering are taken into account simultaneously. The side-jump Hall conductivity changes its sign at a critical sheet carrier density for the nontrivial phase, while it remains sign unchanged for the trivial phase. The critical sheet carrier densities estimated with realistic parameters lie in an experimentally accessible range. The results imply that a quantum anomalous Hall system could be identified in the good-metal regime.

5 pages, 4 figures

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• Spin Hall effect in spin-valley coupled monolayer transition-metal dichalcogenides
• Skyrmion-induced anomalous Hall conductivity on topological insulator surfaces
• Topological and disorder corrections to the transverse Wiedemann-Franz law and Mott relation in kagome magnets
• Semiclassical Boltzmann theory of spin Hall effects in giant Rashba systems
• Half-Quantized Hall Metal and Marginal Metal in Disordered Magnetic Topological Insulators
• Cross-correlation mediated by Majorana island with finite charging energy
• Universal classes of disorder scatterings in in-plane anomalous Hall effect