Spin Orbit coupling and Anomalous Josephson effect in Nanowires

Abstract

A superconductor-semiconducting nanowire-superconductor heterostructure in the presence of spin orbit coupling and magnetic field can support a supercurrent even in the absence of phase difference between the superconducting electrodes. We investigate this phenomenon, the anomalous Josephson effect, employing a model capable of describing many bands in the normal region. We discuss geometrical and symmetry conditions required to have finite anomalous supercurrent and in particular we show that this phenomenon is enhanced when the Fermi level is located close to a band opening in the normal region.

7+epsilon pages, 6 figures, Revised version

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• Interplay between singlet and triplet pairings in multi-band two-dimensional oxide superconductors
• Tunable $\phi$-Josephson junction with a quantum anomalous Hall insulator
• Anomalous supercurrent modulated by interfacial magnetizations in Josephson junctions with ferromagnetic bilayers
• Tunability of Andreev levels via spin-orbit coupling in Zeeman-split Josephson junctions
• Incipient Berezinskii-Kosterlitz-Thouless transition in two-dimensional coplanar Josephson junctions
• Majorana phi0 Junction in a Disordered Spin-orbit Coupling Nanowire with Tilted Magnetic Field
• 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
• Confinement versus interface bound states in spin-orbit coupled nanowires