Spin orbit induced torque in collinear spin valve structuer and associated entropy

We predict that due to spin-orbit(SO) interaction there is a torque even for the parallel configuration of spin valve structure (F1/2DEG/F2). This torque arises due to spin orbit interaction. We develop a scattering theory for spin density matrix which allows us to study this effect quantitatively. Further we show that the von-Neumann entropy associated with transport of polarization can show non-linear behavior as a function of absolute angle and oscillator behavior as a function of SO interaction strength.