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Paper   IPM / P / 16244
School of Physics
  Title:   Anomalous Hall effect in magnetic topological insulators: Semiclassical framework
1.  A. Sabzalipour
2.  B. Partoens
  Status:   Published
  Journal: Phys. Rev. B
  Vol.:  100
  Year:  2019
  Pages:   035419
  Supported by:  IPM
The anomalous Hall effect (AHE) is studied on the surface of a 3D magnetic topological insulator. By applying a modified semi-classical framework, all three contributions to the AHE, the intrinsic Berry phase curvature effect, the side-jump effect and the skew scattering effects are systematically treated, and analytical expressions for the conductivities are obtained in terms of the Fermi level, the spatial orientation of the surface magnetization and the concentration of magnetic and non-magnetic impurities. We demonstrate that the AHE can change sign by altering the orientation of the surface magnetization, the concentration of the impurities and also the position of the chemical potential, in agreement with recent experimental observations. Hence, each contribution to the AHE, or even the whole AHE, can be turned off by properly adjusting the given parameters. For example, one can turn off the anomalous hall conductivity in a system with in-plane magnetization by pushing the system into the fully metallic regime.

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