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Persistent current and voltage in a ring of Josephson junctions

M. Y. Choi

DOI 10.1103/PhysRevB.48.15920 · Physical Review B

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Abstract

We study a ring of N Josephson junctions with gauge charges induced by external sources and in the presence of a magnetic field. At zero temperature the system is mapped into a standard two-dimensional classical XY model, thus shown to exhibit the Kosterlitz-Thouless transition between the superconducting and the insulating phases, which are characterized by the gauge-invariant phase and charge correlation functions. In particular, the persistent current and voltage in the two phases are obtained, and the duality relation between the strong-coupling limit and the weak-coupling limit is discussed.

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