Spin Hall effect-driven spin torque in magnetic textures

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 - ΒM) × [(u 0 + α_H u 0 M) ∇] M, where u₀ is the direction of the injected current, _H is the Hall angle and is the non-adiabaticity parameter due to spin relaxation. Since α_H and ×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.