Anomalous Hall response of topological insulators

Abstract

The anomalous Hall effect due to the surface conduction band of 3D topological insulators with an out-of-plane magnetization is \textit{always} dominated by an intrinsic topological term of the order of the conductivity quantum. We determine the contributions due to the band structure, skew scattering, side jump and magnetic impurities on the same footing, demonstrating that the topological term, renormalized due to disorder, overwhelms all other terms, providing an unmistakable signature of $Z_2$ topological order. Uncharacteristically, skew scattering contributes in the Born approximation as well as in the third order in the scattering potential, while in addition to the side-jump scattering term we identify a novel intrinsic side-jump term of a similar magnitude. These, however, never overwhelm the topological contribution.

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• The Theory of Spin Noise Spectroscopy: A Review
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• Spin-helical transport in normal and superconducting topological insulators
• Quantum Transport in Magnetic Topological Insulator Thin Films
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• Extrinsic Spin Hall Effect from Anisotropic Rashba Spin-Orbit Coupling in Graphene
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• Quantum Kinetic Theory of Nonlinear Optical Currents: Finite Fermi surface and Fermi sea contributions
• Anomalous spin precession and spin Hall effect in semiconductor quantum wells
• Unconventional temperature dependence of the anomalous Hall effect in HgCr2Se4
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• Photo-Induced Anomalous Hall Effect in Two-Dimensional Transition-Metal Dichalcogenides
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• Extrinsic anomalous Hall conductivity of a topologically nontrivial conduction band
• Topological Magneto-Electric Effect Decay
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• Coulomb drag in topological insulator films
• Coulomb drag in topological materials
• Anomalous Nernst effect on a magnetically-doped topological insulator surface: A Green's function approach
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• The Anomalous Hall Effect in Magnetic Topological Insulators
• Giant resonant skew scattering of plasma waves in a two-dimensional electron gas