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Nature and boundary of the floating phase in a dissipative Josephson junction array

Sumanta Tewari, John Toner, Sudip Chakravarty

DOI 10.1103/PhysRevB.73.064503 · Physical Review B

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Abstract

We study the nature of correlations within, and the transition into, the floating phase of dissipative Josephson junction arrays. Order parameter correlations in this phase are long-ranged in time, but only short-ranged in space. A perturbative renormalization group analysis shows that, in arbitrary spatial dimension, the transition is controlled by a continuous locus of critical fixed points determined entirely by the local topology of the lattice. This may be the most natural example of a line of critical points existing in arbitrary dimensions.

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