Ballistic Josephson junctions in the presence of generic spin dependent fields

Ballistic Josephson junctions are studied in the presence of a spin-splitting field and spin-orbit coupling. A generic expression for the quasiclassical Green's function is obtained and with its help we analyze several aspects of the proximity effect between a spin-textured normal metal (N) and singlet superconductors (S). In particular, we show that the density of states may show a zero-energy peak which is a generic consequence of the spin dependent couplings in heterostructures. In addition, we also obtain the spin current and the induced magnetic moment in a SNS structure and discuss possible coherent manipulation of the magnetization which results from the coupling between the superconducting phase and the spin degree of freedom. Our theory predicts a spin accumulation at the S/N interfaces, and transverse spin currents flowing perpendicular to the junction interfaces. Some of these findings can be understood in the light of a non-Abelian electrostatics.F.K. is grateful for financial support from the Alexander von Humboldt foundation. This work was supported by the Spanish Ministerio de Economia y Competitividad (MINECO) through Projects No. FIS2014-55987-P and FIS2013-46159-C3-1-P, and the Basque Departamento de Educacion, UPV/EHU through Projects IT-756-13 and IT-578-13.Peer reviewe