Spin Transport in Ferromagnet/Superconductor Spin Valves

We consider spin transport in Ferromagnetic/Superconductor spin valves. These are heterogeneous layered structures including F₁ / N / F₂ / S where F₁ and F₂ are ferromagnets, S is a superconductor, and N is a normal metal spacer used in actual devices. We use fully self consistent microscopic methods that ensure that the proper relations between spin current and spin transfer torque (STT) are satisfied. We include realistic geometric and material parameter values and interfacial scattering. We obtain results for the spin current and STT as functions of position within the heterostructure, for all magnetic misalignment angles φ between the F₁ and F₂ layers. We do this for multiple applied bias values. Furthermore, we consider the average torque and spin accumulation of each layer as a function of the bias. We discuss the dependence of our results on the above parameters.