Spin current and spin accumulation near a Josephson junction between a singlet and triplet superconductor

Abstract

We consider a Josephson junction with an arbitrary transmission coefficient $\mathcal{D}$ between a singlet and a triplet superconductor with the latter order parameter characterized by a $d$ vector of the form $({k}_{x}\stackrel{\ifmmode \hat{}\else \^{}\fi{}}{y}\ensuremath{-}{k}_{y}\stackrel{\ifmmode \hat{}\else \^{}\fi{}}{x})$. Various quantities such as the tunneling current, spin accumulation, and spin current are calculated via the quasiclassical Green's functions. We also present a symmetry argument on the existence of these quantities and their dependencies on the phase difference across the junction. A physical picture is also given in terms of the Andreev states near the junction.