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.
|Title of host publication||Realizing Controllable Quantum States: Mesoscopic Superconductivity and Spintronics - In the Light of Quantum Computation|
|Publisher||World Scientific Publishing Co.|
|Number of pages||6|
|ISBN (Print)||9789812701619, 9789812564689|
|Publication status||Published - 2005 Jan 1|
ASJC Scopus subject areas
- Physics and Astronomy(all)