Spin Hall Current and Spin-transfer Torque in Ferromagnetic Metal

Abstract

We theoretically examine the spin-transfer torque in the presence of spin-orbit interaction (SOI) at impurities in a ferromagnetic metal on the basis of linear response theory. We obtained, in addition to the usual spin-transfer torque, a new contributioin $\sim {\mathbf{j}}_{\mathrm{SH}}^{}\cdot \nabla \mathbf{n}$ in the first order in SOI, where ${\mathbf{j}}_{\mathrm{SH}}^{}$ is the spin Hall current driven by an external electric field. This is a reaction to inverse spin Hall effect driven by spin motive force in a ferromagnet.

4 pages, Proceedings of the International Conference on Magnetism, submitted to J. Phys: Conference Series

References in corpus (7)

• Microscopic Calculation of Spin Torques in Disordered Ferromagnets
• Electron Transport Driven by Nonequilibrium Magnetic Textures
• Spin pumping by a field-driven domain wall
• Spin Pumping of Current in Non-Uniform Conducting Magnets
• Localization corrections to the anomalous Hall effect in a ferromagnet
• Gauge Field Formulation of Adiabatic Spin Torques
• Inverse Spin Hall Effect Driven by Spin Motive Force

Cited by in corpus (2)

• Spin and charge transport induced by gauge fields in a ferromagnet
• Spin Hall Effect-driven Spin Torque in Magnetic Texture