Abstract
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.
Highlights
There are great hopes that a low dissipative spintronics might emerge from the combination of superconducting and magnetic materials [1,2,3]
We show that the phase Φ completely encrypts the effect of the spin fields on the charge observables, namely the charge current-phase relation and the density of state for a generic magnetic interaction IV
In particular we demonstrate the presence of a peak at zero-energy in the density of state, which is a generic consequence of a non trivial magnetic angle Φ
Summary
There are great hopes that a low dissipative spintronics might emerge from the combination of superconducting and magnetic materials [1,2,3]. A quantitative description of spin-dependent transport in superconducting systems necessarily implies an accurate description of the proximity effect between the magnetic and superconducting elements [8, 9] This is accounted for in the so-called quasi-classical formalism, based on the Eilenberger equation [28, 29]. We show that the spin current disappears when either the exchange or the spin-orbit interaction vanishes, whereas the spin polarization survives the absence of a spin-orbit coupling All our predictions can be measured using state-of-the-art experimental techniques and can be seen as precursors of the actively searched topological effects in superconducting heterostructures
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