The effective field induced by Rashba interaction in ferromagnetic systems

The spin motive force is widely used in spintronics. For example, it is demonstrated that domain wall motion is discussed by the spin motive force[1]. The spin mortive force should be devided into the two effective fields: the effective electric and magnetic field. The electric field induced by Rashba interaction is estimated from equation of motion of conduction electron[1,2], while estimating the effective magnetic field in the same way are somewhat difficult. We estimate the effective magnetic field which is estimated by calculating the electric current[3]. The electirc current is calculated in ferromagnetic metals in the presence of Rashba interaction. \\[4pt] [1] K.-W. Kim, S.-M. Seo, J. Ryu, K.-J. Lee, and H.-W. Lee, Phys. Rev. B 85, 180404 (May 2012).\\[0pt] [2] G. Tatara, N. Nakabayashi, and K.-J. Lee, arXiv:1211.5205 [cond-mat.mes-hall] (Nov 2012).\\[0pt] [3] A. Takeuchi and G. Tatara, J. Phys. Soc. Jpn. 81, 033705 (2012).