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

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

2010-12-17

arxiv.org/abs/1012.3804v2

Phys. Rev. Lett. 106, 166802 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.106.166802

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 $\pm {{e^2} \over {2 h}}$ 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 .

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