Spin force and intrinsic spin Hall effect in spintronics systems
  We investigate the spin Hall effect (SHE) in a wide class of spin-orbit coupling systems by using spin force picture. We derive the general relation equation between spin force and spin current and show that the longitudinal force component can induce a spin Hall current, from which we reproduce the spin Hall conductivity obtained previously using Kubo's formula. This simple spin force picture gives a clear and intuitive explanation for SHE. 
Cong Son Ho and Mansoor B.A. Jalil and Seng Ghee Tan
cond-mat.mes-hall