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

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 $\phi$ and oscillates with $4\pi$ 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 $4\pi$ period not only with $\phi$ but also with orientational angle of the in-plane magnetic field $\theta$ 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 $\theta$. 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.

v1; 17 pages, 14 figs

References in corpus (34)

• Fault-tolerant quantum computation by anyons
• Unpaired Majorana fermions in quantum wires
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Helical liquids and Majorana bound states in quantum wires
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Bosonization and Strongly Correlated Systems
• Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
• Superconducting 2D system with lifted spin degeneracy: Mixed singlet-triplet state
• Superconductivty without inversion symmetry: MnSi versus CePt_3Si
• Splitting of a Cooper pair by a pair of Majorana bound states
• Fractional ac Josephson effect in p- and d-wave superconductors
• Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
• Majorana edge states in interacting one-dimensional systems
• Review of U-based Ferromagnetic Superconductors: Comparison between UGe2, URhGe, and UCoGe
• Unconventional Josephson signatures of Majorana bound states
• Anomalous Josephson effect in p-wave dirty junctions
• Proximity-induced triplet superconductivity in Rashba materials
• Spin Josephson effect in ferromagnet/ferromagnet tunnel junctions
• Magneto-Josephson effects in junctions with Majorana bound states
• Theory of the Josephson effect in superconductor / one-dimensional electron gas / superconductor junction
• Spontaneous spin current due to triplet superconductor--ferromagnet interfaces
• Long-Range Spin-Triplet Helix in Proximity Induced Superconductivity in Spin-Orbit-Coupled Systems
• Engineering and manipulating topological qubits in 1D quantum wires
• Magneto-Josephson effects and Majorana bound states in quantum wires
• Multi-component order parameter superconductivity of Sr${}_2$RuO${}_4$ revealed by topological junctions
• Magnetoelectrically-Tunable Andreev-Bound-State Spectra and Spin Polarization in P-Wave Josephson Junctions
• Josephson Effect and Triplet--Singlet Ratio of Non--centrosymmetric Superconductors
• Gapped triplet $p$-wave superconductivity in strong spin-orbit-coupled semiconductor quantum wells in proximity to $s$-wave superconductor
• Phase-dependent heat transport in Josephson junctions with p-wave superconductors and superfluids
• Spin torque from tunneling through impurities in a magnetic tunnel junction
• Effect of Magnetic Field and Rashba Spin-Orbit Interaction on the Josephson Tunneling between Superconducting Nanowires
• Magnetic resonance in a singlet-triplet Josephson junction

Cited by in corpus (1)

• Lifshitz transitions and Weyl semimetals from a topological superconductor with supercurrent flow