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|
Dissipate locally, couple globally: A sharp transition from decoupling to infinite range coupling in Josephson arrays with on-site dissipation
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
Accepted: 21 February 2006
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.
PACS: 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
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