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

Abstract

We study the T=0 normal to superconducting transition of Josephson arrays with {\it on-site} dissipation. A perturbative renormalization group solution is given. Like the previously studied case of {\it bond} dissipation (BD), this is a "floating" to coupled (FC) phase transition. {\it Unlike} the BD transition, at which {\it only} nearest-neighbor couplings become relevant, here {\it all} inter-grain couplings, out to {\it 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.

7+ pages, 3 eps figures, Europhysics Letters preprint format, as published

References in corpus (4)

• Phase diagram and critical exponents of a dissipative Ising spin chain in a transverse magnetic field
• Universal conductance of nanowires near the superconductor-metal quantum transition
• Floating phase in a dissipative Josephson junction array
• The nature and boundary of the floating phase in a dissipative Josephson junction array

Cited by in corpus (5)

• Quantum-Criticality in Dissipative Quantum Two-Dimensional XY and Ashkin-Teller Models: Application to the Cuprates
• Magnetic phases in the one-dimensional Kondo chain on a metallic surface
• Dissipation-driven quantum phase transition in superconductor-graphene systems
• Monte Carlo simulations of dissipative quantum Ising models
• Arrays of Josephson junctions between unconventional superconductors