title: Josephson current in Luttinger liquid-superconductor junctions.
abstract: 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.
authors.affiliation: Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom.
authors.forename: J-S
authors.initials: JS
authors.lastname: Caux
authors.forename: H
authors.initials: H
authors.lastname: Saleur
authors.forename: F
authors.initials: F
authors.lastname: Siano