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

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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.

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Authors and Affiliations

  1. Laboratório Associado de Sensores e Materiais, Instituto Nacional de Pesquisas Espaciais, 12227-010, São José dos Campos, SP, Brazil

    Enzo Granato

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  1. Enzo Granato
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Correspondence to Enzo Granato.

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Granato, E. Superconductor-insulator transition of Josephson-junction arrays on a honeycomb lattice in a magnetic field. Eur. Phys. J. B 89, 68 (2016). https://doi.org/10.1140/epjb/e2016-60478-y

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  • DOI: https://doi.org/10.1140/epjb/e2016-60478-y

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