2004/07/31 by Nobuhiko Yokoshi, Susumu Kurihara · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.71.104512
published as Phys. Rev. B 71, 104512, (2005) · 5 pages, 4figures
openalex publication_date 2005/03/23 · arxiv created 2005/04/18 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 \ensuremathπ state, 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 \ensuremathπ state is caused by the low energy fluctuations propagating in LL, making the Zeeman splitting in ABS blurred.