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Related Experiment Videos

Josephson current in Luttinger liquid-superconductor junctions.

J-S Caux1, H Saleur, F Siano

  • 1Theoretical Physics, University of Oxford, 1 Keble Road, Oxford OX1 3NP, United Kingdom.

Physical Review Letters
|March 23, 2002
PubMed
Summary

We calculated the Josephson current in a Luttinger liquid using Casimir energy. This reveals the full crossover from normal to Andreev reflection in superconducting systems.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Field Theory

Background:

  • Josephson currents are crucial for understanding superconductivity.
  • Luttinger liquids exhibit unique quantum properties.

Purpose of the Study:

  • To investigate the Josephson current in a Luttinger liquid coupled to two superconductors.
  • To establish a connection between Josephson current and Casimir energy.

Main Methods:

  • Utilizing a two-boundary sine-Gordon model.
  • Developing a novel thermodynamic Bethe ansatz.
  • Applying a precise analytic continuation procedure.

Main Results:

  • The Josephson current can be derived from the Casimir energy.
  • The Casimir energy was calculated in closed form.
  • The complete current-crossover function was obtained.

Conclusions:

  • The study provides a new method for calculating Josephson currents.
  • The findings elucidate the transition between normal and Andreev reflection in superconducting systems.

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