Inverse Spin Hall Effect Driven by Spin Motive Force

Abstract

The spin Hall effect is a phenomenon that an electric field induces a spin Hall current. In this Letter, we examine the inverse effect that, in a ferromagnetic conductor, a charge Hall current is induced by a spin motive force, or a spin-dependent effective ` electric' field ${\mathbf{E}}_{\mathrm{s}}$, arising from the time variation of magnetization texture. By considering skew-scattering and side-jump processes due to spin-orbit interaction at impurities, we obtain the Hall current density as ${\sigma }_{\mathrm{SH}}\mathbf{n}\times {\mathbf{E}}_{\mathrm{s}}$, where $\mathbf{n}$ is the local spin direction and ${\sigma }_{\mathrm{SH}}$ is the spin Hall conductivity. The Hall angle due to the spin motive force is enhanced by a factor of $P^2$ compared to the conventional anomalous Hall effect due to the ordinary electric field, where $P$ is the spin polarization of the current. The Hall voltage is estimated for a field-driven domain wall oscillation in a ferromagnetic nanowire.

4 pages, 3 figures, the title has been changed

References in corpus (10)

• Direct electronic measurement of the spin Hall effect
• Microscopic approach to current-driven domain wall dynamics
• 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
• Voltage generation by ferromagnetic resonance
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• Charge pumping in magnetic tunnel junctions: Scattering theory