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Field Theoretic Description of the Abelian and Non-Abelian Josephson Effect

F. Paul Esposito, L.-P. Guay, R. B. MacKenzie, M. B. Paranjape, L. C. R. Wijewardhana

DOI 10.1103/PhysRevLett.98.241602 · Physical Review Letters

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Abstract

We formulate the Josephson effect in a field theoretic language which affords a straightforward generalization to the non-Abelian case. Our formalism interprets Josephson tunneling as the excitation of pseudo Goldstone bosons. We demonstrate the formalism through the consideration of a single junction separating two regions with a purely non-Abelian order parameter and a sandwich of three regions where the central region is in a distinct phase. Applications to various non-Abelian symmetry breaking systems in particle and condensed matter physics are given.

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