Spin Hall Effect-driven Spin Torque in Magnetic Texture
  Current-induced spin torque and magnetization dynamics in the presence of spin Hall effect in magnetic textures is studied theoretically. The local deviation of the charge current gives rise to a current-induced spin torque of the form (1-\beta{\bf M})x[({\bf u}_0+\alpha_H{\bf u}_0x\bf M})\cdot{\bm \nabla}]{\bf M}, where {\bf u}_0 is the direction of the injected current, \alpha_H is the Hall angle and \beta is the non-adiabaticity parameter due to spin relaxation. Since \alpha_H and \beta can have a comparable order of magnitude, we show that this torque can significantly modify the current-induced dynamics of both transverse and vortex walls. 
Aurelien Manchon and Kyung-Jin Lee
cond-mat.mes-hall