Superconductor-insulator transition of Josephson-junction arrays on a honeycomb lattice in a magnetic field

Abstract

We study the superconductor to insulator transition at zero temperature in a Josephson-junction array model on a honeycomb lattice with $f$ flux quantum per plaquette. The path integral representation of the model corresponds to a (2+1)-dimensional classical model, which is used to investigate the critical behavior by extensive Monte Carlo simulations on large system sizes. In contrast to the model on a square lattice, the transition is found to be first order for $f=1/3$ and continuous for $f=1/2$ but in a different universality class. The correlation-length critical exponent is estimated from finite-size scaling of vortex correlations. The estimated universal conductivity at the transition is approximately four times its value for $f=0$. The results are compared with experimental observations on ultrathin superconducting films with a triangular lattice of nanoholes in a transverse magnetic field.

arXiv commentEur. Phys. J. B (2016)

References in corpus (22)

• Exchange Monte Carlo Method and Application to Spin Glass Simulations
• Continuous Quantum Phase Transitions
• Critical Exponents of the N-vector model
• Quantum Phase Transitions and Vortex Dynamics in Superconducting Networks
• Observation of the Meissner effect with ultracold atoms in bosonic ladders
• Critical Behavior of the Three-Dimensional Ising Spin Glass
• Interplay of quantum and thermal fluctuations in a frustrated magnet
• Universal conductivity in the boson Hubbard model in a magnetic field
• A common Universality class for the three-dimensional Vortex Glass and Chiral Glass?
• Cooper pair insulator in amorphous films induced by nanometer-scale thickness variations
• Collapse of the Cooper pair phase coherence length at a superconductor to insulator transition
• Fluctuations and vortex pattern ordering in fully frustrated XY model with honeycomb lattice
• Quantum Monte Carlo study of a magnetic-field-driven 2D superconductor-insulator transition
• Critical behavior and driven Monte Carlo dynamics of the XY spin glass in the phase representation
• Field-induced superconductor to insulator transition in Josephson-junction ladders
• Conductivity of strongly correlated bosons in optical lattices in an Abelian synthetic magnetic field
• Disorder Influences the Quantum Critical Transport at a Superconductor to Insulator Transition
• 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
• Superfluid-insulator transition of the Josephson junction array model with commensurate frustration
• Quantum Monte Carlo Study of a Disordered 2-D Josephson Junction Array
• Ordered phases and phase transitions in the fully frustrated XY model on a honeycomb lattice

Cited by in corpus (4)

• Magnetic flux disorder and superconductor-insulator transition in nanohole thin films
• Quasiparticle Screening near a Bosonic Superconductor-Insulator Transition Revealed by Magnetic Impurity Doping
• Random gauge models of the superconductor-insulator transition in two-dimensional disordered superconductors
• Disorder-induced superconductor to insulator transition and finite phase stiffness in two-dimensional phase-glass models