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

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.

arXiv comment7 pages, 8 figures. arXiv admin note: text overlap with arXiv:0704.1097

References in corpus (23)

• Observation of Giant Positive Magnetoresistance in a Cooper Pair Insulator
• Current--Voltage Characteristics of Two--Dimensional Vortex Glass Models
• Nature of Phase Transitions of Superconducting Wire Networks in a Magnetic Field
• A common Universality class for the three-dimensional Vortex Glass and Chiral Glass?
• Current-voltage scaling of chiral and gauge-glass models of two-dimensional superconductors
• Glassiness Vs. Order in Densely Frustrated Josephson Arrays
• Cooper pair insulator in amorphous films induced by nanometer-scale thickness variations
• Nanopattern-stimulated superconductor-insulator transition in thin TiN films
• Non-equilibrium transitions in fully frustrated Josephson junction arrays
• Comparison of Phase Boundaries between Kagome and Honeycomb Superconducting Wire Networks
• Transfer-Matrix Monte Carlo Estimates of Critical Points in the Simple Cubic Ising, Planar and Heisenberg Models
• Fluctuations and vortex pattern ordering in fully frustrated XY model with honeycomb lattice
• Current-voltage scaling of a Josephson-junction array at irrational frustration
• Critical behavior and driven Monte Carlo dynamics of the XY spin glass in the phase representation
• Phase and vortex correlations in Josephson-junction arrays at irrational frustration
• Magnetic Flux Periodic Response of Nano-perforated Ultrathin Superconducting Films
• Positional Disorder (Random Gaussian Phase Shifts) in the Fully Frustrated Josephson Junction Array (2D XY Model)
• Frustrated two-dimensional Josephson junction array near incommensurability
• Zero-temperature resistive transition in Josephson-junction arrays at irrational frustration
• Dynamic transition and resonance in current-driven arrays of Josephson junctions
• Zero-temperature transition and correlation-length exponent of the frustrated XY model on a honeycomb lattice
• Two-dimensional XY spin/gauge glasses on periodic and quasiperiodic lattices
• Ordered phases and phase transitions in the fully frustrated XY model on a honeycomb lattice

Cited by in corpus (7)

• Resonant frequencies and spatial correlations in frustrated arrays of Josephson type nonlinear oscillators
• Superconductor-insulator transition of Josephson-junction arrays on a honeycomb lattice in a magnetic field
• Disorder Influences the Quantum Critical Transport at a Superconductor to Insulator Transition
• Magnetic flux disorder and superconductor-insulator transition in nanohole thin films
• Critical behavior of dynamic vortex Mott transition in superconducting arrays at fractional vortex densities
• Random gauge models of the superconductor-insulator transition in two-dimensional disordered superconductors
• Multidimensional Washboard Ratchet Potentials for Frustrated Two-Dimensional Josephson-Junctions Arrays on square lattices