Zero-temperature resistive transition in Josephson-junction arrays at irrational frustration

Abstract

We use a driven Monte Carlo dynamics in the phase representation to determine the linear resistivity and current-voltage scaling of a two-dimensional Josephson-junction array at an irrational flux quantum per plaquette. The results are consistent with a phase-coherence transition scenario where the critical temperature vanishes. The linear resistivity is nonzero at any finite temperatures but nonlinear behavior sets in at a temperature-dependent crossover current determined by the thermal critical exponent. From a dynamic scaling analysis we determine this critical exponent and the thermally activated behavior of the linear resistivity. The results are in agreement with earlier calculations using the resistively shunted-junction model for the dynamics of the array. The linear resistivity behavior is consistent with some experimental results on arrays of superconducting grains but not on wire networks, which we argue have been obtained in a current regime above the crossover current.

7 pages, 5 figures, to appear in Phys. Rev. B

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Cited by in corpus (7)

• Phase and vortex correlations in Josephson-junction arrays at irrational frustration
• Vortex jamming in superconductors and granular rheology
• Resistive transition in frustrated Josephson-junction arrays on a honeycomb lattice
• Zero-temperature transition and correlation-length exponent of the frustrated XY model on a honeycomb lattice
• Multidimensional Washboard Ratchet Potentials for Frustrated Two-Dimensional Josephson-Junctions Arrays on square lattices
• Relaxation dynamics and interrupted coarsening in irrationally frustrated superconducting arrays
• Transition by Breaking of Analyticity in the Ground State of Josephson Junction Arrays as a Static Signature of the Vortex Jamming Transition