Dynamics of magnetization on the topological surface

Abstract

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.

4+ pages, 1 figure

References in corpus (8)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Topological Field Theory of Time-Reversal Invariant Insulators
• The quantum spin Hall effect and topological insulators
• Manipulation of Majorana fermion, Andreev reflection and Josephson current on topological insulators
• Unconventional superconductivity on a topological insulator
• Inverse Spin-Galvanic Effect in a Topological-Insulator/Ferromagnet Interface
• Microscopic Calculation of Spin Torques in Disordered Ferromagnets
• Theory of current-driven magnetization dynamics in inhomogeneous ferromagnets

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• Transverse magnetic heat transport on the topological surface
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• Voltage-driven magnetization switching and spin pumping in Weyl semimetals
• Electromagnetic spin polarization on the surface of topological insulator
• Theory of current-driven dynamics of spin textures on a surface of topological insulators
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• Spin diffusion and magnetoresistance in ferromagnet/topological-insulator junctions
• Skew-scattering-induced giant antidamping spin-orbit torques: Collinear and out-of-plane Edelstein effects at two-dimensional material/ferromagnet interfaces
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• Electrical control of magnetization in S/F/S junctions on a 3D topological insulator
• Fluctuation-induced magnetization dynamics and criticality at the interface of a topological insulator with a magnetically ordered layer
• Topological charge pumping effect by the magnetization dynamics on the Surface of Three-Dimensional Topological Insulators
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• Spin injection into a metal from a topological insulator
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• Transport across a junction of topological insulators and a superconductor
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• Dynamics of domain-wall Dirac fermions on a topological insulator: a chiral fermion beam splitter
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