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

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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Parts rewritten, typos corrected

Scientific paper

10.1103/PhysRevB.73.064503

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 {\it arbitrary} spatial dimension, the transition is controlled by a continuous locus of critical fixed points determined entirely by the \textit{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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