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 (15)

• Spin Hall effect
• Direct electronic measurement of the spin Hall effect
• Room Temperature Reversible 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 Hall Effect in Doped Semiconductor Structures
• Spin pumping by a field-driven domain wall
• Macroscopic Quantum Tunneling of a Domain Wall in a Ferromagnetic Metal
• Spin Pumping of Current in Non-Uniform Conducting Magnets
• Localization corrections to the anomalous Hall effect in a ferromagnet
• Voltage generation by ferromagnetic resonance
• Charge and Spin Currents Generated by Dynamical Spins
• Charge current driven by spin dynamics in disordered Rashba spin-orbit system
• Charge pumping in magnetic tunnel junctions: Scattering theory

Cited by in corpus (17)

• Spin motive force induced by Rashba interaction in the strong sd coupling regime
• Diffusive versus local spin currents in dynamic spin pumping systems
• Spin-Motive Forces and Current-Induced Torques in Ferromagnets
• Spin Hall effect on a noncommutative space
• Spin and charge transport induced by gauge fields in a ferromagnet
• Inertial spin Hall effect in noncommutative space
• Anomalous spin precession and spin Hall effect in semiconductor quantum wells
• Effect of spin rotation coupling on spin transport
• Spinmotive force with static and uniform magnetization induced by a time-varying electric field
• Rashba-induced spin electromagnetic fields in a strong sd coupling regime
• Effect of cosmic string on spin dynamics
• Influences of Topological Defect on Spin Hall Effect
• Perturbation theory of the dynamic inverse spin Hall effect with charge conservation
• Effect of spin diffusion on current generated by spin motive force
• Transverse force generated by an electric field and transverse charge imbalance in spin-orbit coupled systems
• Coupling theory of emergent spin electromagnetic field and electromagnetic field
• Spin Hall Current and Spin-transfer Torque in Ferromagnetic Metal