Interaction of ferromagnet conduction electron spin with spatial and time varying magnetization

Spin-dependent conduction and the magnetization dynamics of ferromagnets are at the centre of key mechanism in various spin electronics phenomena. The interaction of conduction electron spins with spatial and time varying magnetization M(r, t) in semi classical picture of transport were computed. The adiabatic approximation results in four spin torques- two each due to variation of magnetization in space and time. Each
torque has different roles in magnetization dynamics.