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

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Summary

INTRODUCTION

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

THE MODEL
GENERAL SOLUTION OF THE EILENBERGER EQUATION
DENSITY OF STATES
SPIN POLARIZATION AND SPIN CURRENTS IN JUNCTIONS WITH SPIN-ORBIT
NON-HOMOGENOUES EXCHANGE FIELD
VIII. CONCLUSION

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