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

TL;DR

This study investigates the resistive transition in frustrated Josephson-junction arrays on a honeycomb lattice under magnetic fields, revealing different transition behaviors at flux values of 1/3 and 1/2, with implications for understanding superconducting phase transitions.

Contribution

It provides a detailed analysis of the resistive behavior and critical exponents for Josephson-junction arrays on a honeycomb lattice, especially at flux f=1/2, using driven Monte Carlo dynamics.

Findings

Zero resistance onset at nonzero temperature for f=1/3.

Thermally activated resistivity at f=1/2 with zero critical temperature.

Determined the thermal critical exponent for the zero-temperature transition.

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 ultra-thin superconducting films with a triangular pattern of nanoholes.