Shibata Junya, Kohno Hiroshi
Kanagawa Institute of Technology, 1030 Shimo-Ogino Atsugi, Kanagawa 243-0292, Japan.
Phys Rev Lett. 2009 Feb 27;102(8):086603. doi: 10.1103/PhysRevLett.102.086603.
The spin Hall effect is a phenomenon in which 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 E_{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_{SH}n x E_{s}, where n is the local spin direction and sigma_{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.
自旋霍尔效应是一种电场感应出自旋霍尔电流的现象。在本信函中，我们研究其逆效应，即在铁磁导体中，由自旋驱动力或因磁化纹理随时间变化而产生的自旋相关有效“电场”(E_{s})感应出电荷霍尔电流。通过考虑杂质处自旋轨道相互作用引起的斜散射和侧跳过程，我们得到霍尔电流密度为(\sigma_{SH}n\times E_{s})，其中(n)是局部自旋方向，(\sigma_{SH})是自旋霍尔电导率。与由普通电场引起的传统反常霍尔效应相比，由自旋驱动力导致的霍尔角增大了(P^{-2})倍，其中(P)是电流的自旋极化率。我们估算了铁磁纳米线中场驱动畴壁振荡的霍尔电压。
