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Dissipate locally, couple globally: a sharp transition from decoupling to infinite range coupling in Josephson arrays with on-site dissipation

Sumanta Tewari, John Toner

cond-mat.stat-mecharXiv:cond-mat/0508138

Abstract

We study the T=0 normal to superconducting transition of Josephson arrays with on-site dissipation. A perturbative renormalization group solution is given. Like the previously studied case of bond dissipation (BD), this is a "floating" to coupled (FC) phase transition. Unlike the BD transition, at which only nearest-neighbor couplings become relevant, here all inter-grain couplings, out to infinitely large distances, do so simultaneously. We predict, for the first time in an FC transition, a diverging spatial correlation length. Our results show the robustness of floating phases in dissipative quantum systems.

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