The nature and boundary of the floating phase in a dissipative Josephson junction array
Sumanta Tewari, John Toner, Sudip Chakravarty
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 RG 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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