Resistive transition in frustrated Josephson-junction arrays on a honeycomb lattice

Enzo Granato

doi:10.1103/PhysRevB.87.094517

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Resistive transition in frustrated Josephson-junction arrays on a honeycomb lattice

Enzo Granato

DOI 10.1103/PhysRevB.87.094517 · Physical Review B

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Abstract

We use driven Monte Carlo dynamics to study the resistive behavior of superconducting Josephson-junction arrays on a honeycomb lattice in a magnetic field corresponding to f flux quantum per plaquette. While for f=1/3 the onset of zero resistance is found at nonzero temperature; for f=1/2 the results are consistent with a transition scenario where the critical temperature vanishes and the linear resistivity shows thermally activated behavior. We determine the thermal critical exponent of the zero-temperature transition for f=1/2 from a dynamic scaling analysis of the nonlinear resistivity. The resistive behavior agrees with recent results obtained for the phase-coherence transition from correlation-length calculations and with experimental observations on ultrathin superconducting films with a triangular pattern of nanoholes.