Density of states in the presence of spin dependent scattering: numerical and analytical approach

We present the quantitative study of the density of states (DOS) in SF bilayers (where S - is a bulk superconductor and F - a ferromagnetic metal) in the diffusive limit. We solve the quasiclassical Usadel equations in the structure, considering the presence of magnetic and spin-orbit scattering. For practical reasons we propose the analytical solution for the density of states in SF bilayer in case of thin ferromagnet and low transparency of the SF interface. It is confirmed by numerical calculations, using a self-consistent two-step iterative method. The behavior of DOS dependencies on magnetic and spin-orbit scattering times is discussed.