Anomalous Hall Effect on the surface of topological Kondo insulators

Abstract

We calculate the anomalous Hall conductivity ${\sigma }_{xy}$ of the surface states {in cubic topological Kondo insulators}. We consider a generic model for the surface states with three Dirac cones on the (001) surface. The Fermi velocity, the Fermi momentum and the Zeeman energy in different Dirac pockets may be unequal. The microscopic impurity potential mediates mixed intra and interband extrinsic scattering processes. Our calculation of ${\sigma }_{xy}$ is based on the Kubo-Streda diagrammatic approach. It includes diffractive skew scattering contributions originating from the rare two-impurity complexes. Remarkably, these contributions yield anomalous Hall conductivity that is independent of impurity concentration, and thus is of the same order as other known extrinsic side jump and skew scattering terms. We discuss various special cases of our results and the experimental relevance of our study in the context of the recent hysteretic magnetotransport data in SmB${}_6$ samples.

main text: 5 pages, 4 figures; supplementary materials: 8 pages, 3 figures

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Cited by in corpus (10)

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• Gyrotropic Hall effect in Berry-curved materials
• Semiclassical equations of motion for disordered conductors: extrinsic interband velocity, corrected collision integral and spin-orbit torques
• Sensitivity of anomalous Hall effect to disorder correlations
• Kerr effect from diffractive skew scattering in chiral $p_x\pm i{p}_y$ superconductors
• Quantum kinetics of anomalous and nonlinear Hall effects in topological semimetals
• Temperature Dependence of the Anomalous Hall Effect from Electron Interactions
• Ferromagnetism and glassiness on the surface of topological insulators
• Anomalous Hall effect in type-I Weyl metals beyond the noncrossing approximation
• Energy magnetization and transport in systems with a non-zero Berry curvature in a magnetic field