Abstract
We study the effect of magnetic doping at the surface of a three dimensional topological insulator (TI) on emergence of ferromagnetic ordering at the TI-surface assuming the exchange coupling between the Dirac fermions and the dilute magnetic ions. We show that this coupling results in an uniaxial magnetic anisotropy with out-of-plane magnetization direction. It is found that the system under consideration is unstable with respect to a spontaneous uniform magnetization along the easy axis, which is accompanied by opening a gap in a spectrum of the Dirac surface states. In the framework of a mean-field approach, we study the possibility of ferromagnetic order on the magnetically doped surface of TI at different temperatures and positions of the chemical potential.
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Men’shov, V.N., Tugushev, V.V. & Chulkov, E.V. Carrier mediated ferromagnetism on the surface of a topological insulator. Jetp Lett. 94, 629–634 (2011). https://doi.org/10.1134/S0021364011200100
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DOI: https://doi.org/10.1134/S0021364011200100