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Phys Rev Lett. 2011 Mar 4;106(9):097201. Epub 2011 Feb 28.

Electrically controllable surface magnetism on the surface of topological insulators.

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SKLSM, Institute of Semiconductors, Chinese Academy of Sciences, Beijing, China.


We study theoretically the RKKY interaction between magnetic impurities on the surface of three-dimensional topological insulators, mediated by the helical Dirac electrons. Exact analytical expression shows that the RKKY interaction consists of the Heisenberg-like, Ising-like, and Dzyaloshinskii-Moriya (DM)-like terms. It provides us a new way to control surface magnetism electrically. The gap opened by doped magnetic ions can lead to a short-range Bloembergen-Rowland interaction. The competition among the Heisenberg, Ising, and DM terms leads to rich spin configurations and an anomalous Hall effect on different lattices.

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