Abstract

In this paper, we investigate theoretically the spin–orbit torque (SOT) as well as the Gilbert damping for a two band model of a 2D helical surface state with a ferromagnetic (FM) exchange coupling. We decompose the density matrix into the Fermi sea and Fermi surface components and obtain their contributions to the electronic transport as well as the SOT. Furthermore, we obtain the expression for the Gilbert damping due to the surface state of a 3D topological insulator (TI) and predict its dependence on the direction of the magnetization precession axis.

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