Dynamics of magnetization on the topological surface

Details Dynamics of magnetization on the topological surface Dynamics of magnetization on the topological surface

2010-03-19

arxiv.org/abs/1003.3769v1

Phys. Rev. B 81, 241410(R) (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4+ pages, 1 figure

Scientific paper

10.1103/PhysRevB.81.241410

We investigate theoretically the dynamics of magnetization coupled to the surface Dirac fermions of a three dimensional topological insulator, by deriving the Landau-Lifshitz-Gilbert (LLG) equation in the presence of charge current. Both the inverse spin-Galvanic effect and the Gilbert damping coefficient $\alpha$ are related to the two-dimensional diagonal conductivity $\sigma_{xx}$ of the Dirac fermion, while the Berry phase of the ferromagnetic moment to the Hall conductivity $\sigma_{xy}$. The spin transfer torque and the so-called $\beta$-terms are shown to be negligibly small. Anomalous behaviors in various phenomena including the ferromagnetic resonance are predicted in terms of this LLG equation.

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