Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2008-10-03
Phys. Rev. Lett. 102, 086603 (2009)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
4 pages, 3 figures, the title has been changed
Scientific paper
10.1103/PhysRevLett.102.086603
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 ${\bm E}_{\rm s}$, 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 $\sigma_{\rm SH} {\bm n}\times{\bm E}_{\rm s}$, where ${\bm n}$ is the local spin direction and $\sigma_{\rm SH}$ 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.
Kohno Hiroshi
Shibata Junya
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