Dissipate locally, couple globally: A sharp transition from decoupling to infinite range coupling in Josephson arrays with on-site dissipationS. Tewari1 and J. Toner2
1 Condensed Matter Theory Center, Department of Physics, University of Maryland College Park, MD 20742, USA
2 Department of Physics and Institute of Theoretical Science, University of Oregon Eugene, OR 97403, USA
received 27 October 2005; accepted in final form 21 February 2006
published online 15 March 2006
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.
74.81.Fa - Josephson junction arrays and wire networks.
71.10.Hf - Non-Fermi-liquid ground states, electron phase diagrams and phase transitions in model systems.
74.78.Na - Mesoscopic and nanoscale systems.
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