• DOI:10.1140/epjb/e2016-60478-y
• Corpus ID: 119177839

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

@article{Granato2016SuperconductorinsulatorTO,
  title={Superconductor-insulator transition of Josephson-junction arrays on a honeycomb lattice in a magnetic field},
  author={Enzo Granato},
  journal={The European Physical Journal B},
  year={2016},
  volume={89},
  pages={1-8}
}

• E. Granato
• Published 14 February 2016
• Physics
• The European Physical Journal B

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.