Europhys. Lett.
Volume 74, Number 2, April 2006
Page(s) 341 - 347
Section Condensed matter: electronic structure, electrical, magnetic, and optical properties
Published online 15 March 2006
Europhys. Lett., 74 (2), pp. 341-347 (2006)
DOI: 10.1209/epl/i2005-10528-9

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

S. 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.

© EDP Sciences 2006