Influence of the Rashba effect on the Josephson current through a superconductor/Luttinger liquid/superconductor tunnel junction

Abstract

The Josephson current through a 1D quantum wire with Rashba spin-orbit and electron-electron interactions is calculated. We show that the interplay of Rashba and Zeeman interactions gives rise to a supercurrent through the 1D conductor that is anomalous in the sense that it persists in the absence of any phase difference between the two superconducting leads to which it is attached. The electron dispersion asymmetry induced by the Rashba interaction in a Luttinger-liquid wire plays a significant role for poorly transmitting junctions. It is shown that for a weak or moderate electron-electron interaction the spectrum of plasmonic modes confined to the normal part of the junction becomes quasi-random in the presence of dispersion asymmetry.

25 pages, 3 figures

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• Ferromagnetic resonance and magnetic precessions in ${\phi }_0$ junction
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• Double path interference and magnetic oscillations in Cooper pair transport through a single nanowire
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• Zeeman and spin-orbit effects in the Andreev spectra of nanowire junctions
• Rashba splitting of Cooper pairs
• Analytical criteria for magnetization reversal in ${\phi }_0$ Josephson junction
• Spin-orbital coupling effect on Josephson current through a superconductor heterojunction
• Locking of magnetization and Josephson oscillations at ferromagnetic resonance in ${\phi }_0$ junction under external radiation
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• Effective model for a short Josephson junction with a phase discontinuity
• Nonreciprocal Josephson linear response
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• Equilibrium circular photogalvanic effect in a hybrid superconductor-semiconductor system
• Long-range effect of a Zeeman field on the electric current through the helical metal-superconductor interface in Andreev interferometer
• Spontaneous generation of vortices by a nonuniform Zeeman field in a two-dimensional Rashba coupled superconductor
• Supercurrent vortices and Majorana zero modes induced by an inplane Zeeman field on the surface of a three-dimensional topological insulator
• Floquet-engineered diode performance in a Majorana-quantum dot Josephson junction
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• Aharonov-Bohm and Aharonov-Casher effects for local and nonlocal Cooper pairs
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• Junctions of Spin-Incoherent Luttinger Liquids with Ferromagnets and Superconductors
• Signatures of Long-Range Spin-Triplet Component in Andreev Interferometer
• Non uniform superconductivity in wires with strong spin-orbit coupling