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APS » Journals » Phys. Rev. Lett. » Volume 88 » Issue 10
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Phys. Rev. Lett. 88, 106402 (2002) [4 pages]

Josephson Current in Luttinger Liquid-Superconductor Junctions

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J.-S. Caux1, H. Saleur2, and F. Siano2
1Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom
and All Souls College, Oxford OX1 4AL, United Kingdom
2Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089

Received 7 September 2001; published 21 February 2002

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.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.88.106402
DOI:
10.1103/PhysRevLett.88.106402
PACS:
71.10.Pm, 02.30.Ik, 74.50.+r
 
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