Kinetic investigation of the extrinsic spin Hall effect induced by skew scattering

A study of the kinetics of the extrinsic spin Hall conductivity induced by skew scattering is performed using the fully microscopic kinetic spin Bloch equation approach to the (001) GaAs symmetric quantum well. In the steady state, the extrinsic spin Hall current/conductivity vanishes for the linear k dependent spin–orbit coupling and is very small for the cubic k dependent spin–orbit coupling. The spin precession induced by the Dresselhaus/Rashba spin–orbit coupling plays a very important role in the vanishing of the extrinsic spin Hall conductivity in the steady state. An in-plane spin polarization is induced by the skew scattering, with the help of the spin–orbit coupling. This spin polarization is very different from the current-induced spin polarization.