Josephson π state in superconductor-Luttinger liquid hybrid systems

Nobuhiko Yokoshi*, Susumu Kurihara

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)


    Josephson current through a Luttinger liquid (LL) under a magnetic field is theoretically studied. We derive an analytical expression of the Josephson current for clean interfaces, by using the quasiclassical Green's function and the 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 pstate, due to a 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 π state is caused by the low energy fluctuations propagating in LL, making the Zeeman splitting in ABS blurred.

    Original languageEnglish
    Article number104512
    JournalPhysical Review B - Condensed Matter and Materials Physics
    Issue number10
    Publication statusPublished - 2005 Mar 1

    ASJC Scopus subject areas

    • Condensed Matter Physics


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