Surface quantized anomalous Hall current and magneto-electric effect in magnetically disordered topological insulators

Abstract

We study theoretically the role of quenched magnetic disorder at the surface of a topological insulator by numerical simulation and scaling analysis. It is found that all the surface states are localized while the transverse conductivity is quantized to be $\pm \frac{e^2}{2h}$ as long as the Fermi energy is within the bulk gap. This greatly facilitates the realization of the topological magnetoelectric effect proposed by Qi {\it et al.} (Phys. Rev. B\textbf{78}, 195424 (2008)) with the surface magnetization direction being controlled by the simultaneous application of magnetic and electric fields .

5 pages, 4 figures

References in corpus (25)

• Topological Insulators
• Anomalous Hall effect
• Topological Insulators with Inversion Symmetry
• Topological Field Theory of Time-Reversal Invariant Insulators
• Magnetoelectric polarizability and axion electrodynamics in crystalline insulators
• Large bulk resistivity and surface quantum oscillations in the topological insulator Bi2Te2Se
• Magnetic impurities on the surface of a topological insulator
• Giant Magneto-optical Kerr Effect and Universal Faraday Effect in Thin-film Topological Insulators
• Inverse Spin-Galvanic Effect in a Topological-Insulator/Ferromagnet Interface
• Topological delocalization of two-dimensional massless Dirac fermions
• Topological quantization in units of the fine structure constant
• Ordering of magnetic impurities and tunable electronic properties of topological insulators
• Orbital magnetoelectric coupling in band insulators
• Quantum criticality and minimal conductivity in graphene with long-range disorder
• Theory of orbital magnetoelectric response
• Theory of Anomalous Quantum Hall Effects in Graphene
• Electric charging of magnetic textures on the surface of a topological insulator
• Chern-Simons orbital magnetoelectric coupling in generic insulators
• Magneto-optical and Magneto-electric Effects of Topological Insulators in Quantizing Magnetic Fields
• Theory of quasiparticle interference on the surface of a strong topological insulator
• Quantum Hall Effect of Massless Dirac Fermions in a Vanishing Magnetic Field
• Modular invariance, universality and crossover in the quantum Hall effect
• Topological Insulator and the $\theta$-vacuum in a system without boundaries
• Scaling flow diagram in the fractional quantum Hall regime of GaAs/AlGaAs heterostructures
• Edge and Bulk of the Fractional Quantum Hall Liquids

Cited by in corpus (194)

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• Magnetism-induced massive Dirac spectra and topological defects in the surface state of Cr-doped Bi${}_2$Se${}_3$-bilayer topological insulators
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