Josephson $π$-state in superconductor-Luttinger liquid hybrid systems

Details Josephson $π$-state in superconductor-Luttinger liquid hybrid systems Josephson $π$-state in superconductor-Luttinger liquid hybrid systems

2004-07-16

arxiv.org/abs/cond-mat/0407422v3

Phys. Rev. B 71, 104512, (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 4figures

Scientific paper

10.1103/PhysRevB.71.104512

Josephson current through a Luttinger liquid (LL) under a magnetic field is theoretically studied. We derive an analytical expression of Josephson current for clean interfaces, by using quasiclassical Green's function and functional bosonization procedure. We show that critical currents can be renormalized by electron-electron interactions at perfect transparency when LL is adiabatically connected with superconductors. We also find that a generation of $\pi$-state, due to spin-dependent energy shift in Andreev bound states (ABS), is prohibited even at zero temperature when the strength of repulsive interactions reaches some critical value. The suppression of $\pi$-state is caused by the low energy fluctuations propagating in LL, and making the Zeeman splitting in ABS blurred.

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