Anomalous Josephson effect induced by spin-orbit interaction and Zeeman effect in semiconductor nanowires

Abstract

We investigate theoretically the Josephson junction of semiconductor nanowire with strong spin-orbit (SO) interaction in the presence of magnetic field. By using a tight-binding model, the energy levels $E_n$ of Andreev bound states are numerically calculated as a function of phase difference $\phi$ between two superconductors in the case of short junctions. The DC Josephson current is evaluated from the Andreev levels. In the absence of SO interaction, a $0$-$\pi$ transition due to the magnetic field is clearly observed. In the presence of SO interaction, the coexistence of SO interaction and Zeeman effect results in $E_n(-\phi )\ne E_n(\phi )$, where the anomalous Josephson current flows even at $\phi =0$. In addition, the direction-dependence of critical current is observed, in accordance with experimental results.

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• Supercurrent interference in few-mode nanowire Josephson junctions
• Spontaneous Edge Accumulation of Spin Currents in Finite-Size Two-Dimensional Diffusive Spin-Orbit Coupled SFS Heterostructures
• Long-Range Spin-Triplet Correlations and Edge Spin Currents in Diffusive Spin-Orbit Coupled SNS Hybrids with a Single Spin-Active Interface
• Generalized quasiclassical theory of the long-range proximity effect and spontaneous currents in superconducting heterostructures with strong ferromagnets
• Transfer matrix approach to the persistent current in hybrid normal-superconducting rings
• Double quantum dot Cooper-pair splitter at finite couplings
• Nb/InAs nanowire proximity junctions from Josephson to quantum dot regimes
• Supercurrent generation by spin injection in an s-wave superconductor-Rashba metal bilayer
• Geometry -- dependent effects in Majorana nanowires
• Magnetic anisotropy of critical current in nanowire Josephson junction with spin-orbit interaction
• In-situ creation and control of Josephson junctions with a laser beam
• Josephson response of a conventional and a noncentrosymmetric superconductor coupled via a double quantum dot
• Tunable $\phi$-Josephson junction with a quantum anomalous Hall insulator
• Electrically modulated SQUID with single Josephson junction coupled by a time-reversal breaking Weyl semimetal thin film
• Tunability of Andreev levels via spin-orbit coupling in Zeeman-split Josephson junctions
• ${\theta }_0$ thermal Josephson junction
• Majorana phi0 Junction in a Disordered Spin-orbit Coupling Nanowire with Tilted Magnetic Field
• Symmetry analysis of transport properties in helical superconductor junctions
• High critical temperature nodal superconductors as building block for time-reversal invariant topological superconductivity
• Aharonov-Bohm and Aharonov-Casher effects in double quantum dot Josephson junction
• Aharonov-Bohm and Aharonov-Casher effects for local and nonlocal Cooper pairs