Josephson current between two $p$-wave superconducting nanowires in the presence of Rashba spin-orbit interaction and Zeeman magnetic fields

E. Nakhmedov; B. D. Suleymanli; O. Z. Alekperov; F. Tatardar; H. Mammadov; A. A. Konovko; A. M. Saletsky; Yu. M. Shukrinov; K. Sengupta; B. Tanatar

doi:10.1016/j.physc.2020.1353753

arXiv · 1911.09289

Josephson current between two $p$-wave superconducting nanowires in the presence of Rashba spin-orbit interaction and Zeeman magnetic fields

E. Nakhmedov·B. D. Suleymanli·O. Z. Alekperov·F. Tatardar·H. Mammadov·A. A. Konovko·A. M. Saletsky·Yu. M. Shukrinov·K. Sengupta·B. Tanatar

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Abstract

Josephson current between two one-dimensional nanowires with proximity induced $p$-wave superconducting pairing is calculated in the presence of Rashba spin-orbit interaction, in-plane and normal magnetic fields. We show that Andreev retro-tunneling is realized by means of three channels. The main contribution to the Josephson current gives a scattering in a conventional particle-hole channel, when an electron-like quasiparticle reflects to a hole-like quasiparticle with opposite spin yielding a current which depends only on the order parameters' phase differences $φ$ and oscillates with $4π$ period. Second anomalous particle-hole channel, corresponding to the Andreev reflection of an incident electron-like quasiparticle to an hole-like quasiparticle with the same spin orientation, survives only in the presence of the in-plane magnetic field. The contribution of this channel to the Josephson current oscillates with $4π$ period not only with $φ$ but also with orientational angle of the in-plane magnetic field $θ$ resulting in a magneto-Josephson effect. Third anomalous particle-particle channel, which represents a reflection of an electron-like (hole-like) quasiparticle to a electron-like (hole-like) quasiparticle with opposite spin-orientation, oscillates only with the in-plane magnetic field orientation angle $θ$. We present a detailed theoretical analysis of both DC and AC Josephson effects in such a system showing contributions from all these channels and discuss experiments which can test our theory.

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E. Nakhmedov, B. D. Suleymanli, O. Z. Alekperov, F. Tatardar, H. Mammadov, A. A. Konovko, A. M. Saletsky, Yu. M. Shukrinov, K. Sengupta, B. Tanatar. 2019-11-21. Josephson current between two $p$-wave superconducting nanowires in the presence of Rashba spin-orbit interaction and Zeeman magnetic fields. https://doi.org/10.1016/j.physc.2020.1353753

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