The Josephson current in Luttinger liquid-superconductor junctions

Details The Josephson current in Luttinger liquid-superconductor junctions The Josephson current in Luttinger liquid-superconductor junctions

2001-09-06

arxiv.org/abs/cond-mat/0109103v1

Phys.Rev.Lett.88:106402,2002

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.88.106402

We study the Josephson current through a Luttinger liquid in contact with two superconductors. We show that it can be deduced from the Casimir energy in a two-boundary version of the sine-Gordon model. We develop a new thermodynamic Bethe Ansatz, which, combined with a subtle analytic continuation procedure, allows us to calculate this energy in closed form, and obtain the complete current-crossover function from the case of complete normal to complete Andreev reflection.

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