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Electrically controllable surface magnetism on the surface of topological insulators
Jia-Ji Zhu1, Dao-Xin Yao, Shou-Cheng Zhang
1SKLSM, Institute of Semiconductors, Chinese Academy of Sciences, Beijing, China.
Abstract:
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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