Mesoscopic superconductivity: Josephson current through spin-polarized luttinger liquid

Nobuhiko Yokoshi, Susumu Kurihara

    Research output: Chapter in Book/Report/Conference proceedingChapter

    Abstract

    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. Because of spin-dependent energy shift in Andreev bound states, current-phase relations acquire positive slopes at phase difference x=π (π-state). Renormalization of the critical current, due to electron-electron interactions, is found. Further, we show that repulsive interactions detabilize the π-state, while attractive ones stabilize.

    Original languageEnglish
    Title of host publicationRealizing Controllable Quantum States: Mesoscopic Superconductivity and Spintronics - In the Light of Quantum Computation
    PublisherWorld Scientific Publishing Co.
    Pages114-119
    Number of pages6
    ISBN (Print)9789812701619, 9789812564689
    DOIs
    Publication statusPublished - 2005 Jan 1

    Fingerprint

    superconductivity
    liquids
    critical current
    electron scattering
    Green's functions
    slopes
    shift
    magnetic fields
    electrons
    interactions
    energy

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Yokoshi, N., & Kurihara, S. (2005). Mesoscopic superconductivity: Josephson current through spin-polarized luttinger liquid. In Realizing Controllable Quantum States: Mesoscopic Superconductivity and Spintronics - In the Light of Quantum Computation (pp. 114-119). World Scientific Publishing Co.. https://doi.org/10.1142/9789812701619_0018

    Mesoscopic superconductivity : Josephson current through spin-polarized luttinger liquid. / Yokoshi, Nobuhiko; Kurihara, Susumu.

    Realizing Controllable Quantum States: Mesoscopic Superconductivity and Spintronics - In the Light of Quantum Computation. World Scientific Publishing Co., 2005. p. 114-119.

    Research output: Chapter in Book/Report/Conference proceedingChapter

    Yokoshi, N & Kurihara, S 2005, Mesoscopic superconductivity: Josephson current through spin-polarized luttinger liquid. in Realizing Controllable Quantum States: Mesoscopic Superconductivity and Spintronics - In the Light of Quantum Computation. World Scientific Publishing Co., pp. 114-119. https://doi.org/10.1142/9789812701619_0018
    Yokoshi N, Kurihara S. Mesoscopic superconductivity: Josephson current through spin-polarized luttinger liquid. In Realizing Controllable Quantum States: Mesoscopic Superconductivity and Spintronics - In the Light of Quantum Computation. World Scientific Publishing Co. 2005. p. 114-119 https://doi.org/10.1142/9789812701619_0018
    Yokoshi, Nobuhiko ; Kurihara, Susumu. / Mesoscopic superconductivity : Josephson current through spin-polarized luttinger liquid. Realizing Controllable Quantum States: Mesoscopic Superconductivity and Spintronics - In the Light of Quantum Computation. World Scientific Publishing Co., 2005. pp. 114-119
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