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

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: 21 February 2006

Abstract

We study the 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.