title: Electrically controllable surface magnetism on the surface of topological insulators.
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.
authors.affiliation: SKLSM, Institute of Semiconductors, Chinese Academy of Sciences, Beijing, China.
authors.forename: Jia-Ji
authors.initials: JJ
authors.lastname: Zhu
authors.forename: Dao-Xin
authors.initials: DX
authors.lastname: Yao
authors.forename: Shou-Cheng
authors.initials: SC
authors.lastname: Zhang
authors.forename: Kai
authors.initials: K
authors.lastname: Chang