Josephson Current through a Semiconductor Nanowire: effect of strong spin-orbit coupling and Zeeman splitting

Abstract

We study coherent transport through a semiconductor nanowire in the presence of spin-orbit coupling and Zeeman splitting due to an applied magnetic field. By employing analytical and numerical techniques we develop a theory for the Josephson effect in the superconductor-semiconductor nanowire-superconductor structure. We show that Josephson current through the clean semiconductor nanowire exhibits a number of interesting features due to the interplay between the Zeeman splitting and spin-orbit coupling. We also study effect how disorder in the nanowire affects Andreev bound-state energy spectrum and calculate local density of states at the junction.

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• Geometry controlled superconducting diode and anomalous Josephson effect triggered by the topological phase transition in curved proximitized nanowires
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• Coherent Charge Transport in Ballistic InSb Nanowire Josephson Junctions
• Robustness of Majorana bound states in the short junction limit
• Fractional Josephson Effect in Number-Conserving Systems
• Andreev spectrum with high spin-orbit interactions: revealing spin splitting and topologically protected crossings
• Supercurrent decay in ballistic magnetic Josephson junctions
• Majorana-like localized spin density without bound states in topologically trivial spin-orbit coupled nanowires
• Supercurrent through a spin-split quasi-ballistic point contact in an InAs nanowire
• Energy spectrum and current-phase relation of a nanowire Josephson junction close to the topological transition
• Renormalization of quantum dot $g$-factor in superconducting Rashba nanowires
• Long Range Triplet Josephson Current and $0-\pi$ Transition in Tunable Domain Walls
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• Effect of hybridization symmetry on topological phases of odd-parity multiband superconductors
• The Dirac paradox in 1+1 dimensions and its realization with spin-orbit coupled nanowires
• Electron transport in quantum channels with spin-orbit interaction: Effects of the sign of the Rashba coupling and applications to nanowires
• Stability of Majorana bound states in the presence of spin-flip scattering