Effects of spin-orbit coupling and spatial symmetries on the Josephson current in SNS junctions

Asbjørn Rasmussen; Jeroen Danon; Henri Suominen; Fabrizio Nichele; Morten Kjaergaard; Karsten Flensberg

doi:10.1103/PhysRevB.93.155406

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Effects of spin-orbit coupling and spatial symmetries on the Josephson current in SNS junctions

Asbjørn Rasmussen, Jeroen Danon, Henri Suominen, Fabrizio Nichele, Morten Kjaergaard, Karsten Flensberg

DOI 10.1103/PhysRevB.93.155406 · Physical Review B

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Abstract

We present an analysis of the symmetries of the interference pattern of critical currents through a two-dimensional superconductor-semiconductor-superconductor junction, taking into account Rashba and Dresselhaus spin-orbit interaction, an arbitrarily oriented magnetic field, disorder, and structural asymmetries. We relate the symmetries of the pattern to the absence or presence of symmetries in the Hamiltonian, which provides a qualitative connection between easily measurable quantities and the spin-orbit coupling and other symmetries of the junction. We support our analysis with numerical calculations of the Josephson current based on a perturbative expansion up to eighth order in tunnel coupling between the normal region and the superconductors.