@InProceedings{Granato:2015:SuTrJo,
author = "Granato, Enzo",
affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)}",
title = "Superconductor-insulator transition in Josephson-junction arrays
on a honeycomb lattice and ultra-thin superconducting films with a
periodic lattice of nanoholes",
booktitle = "Resumos...",
year = "2015",
organization = "Encontro Nacional de F{\'{\i}}sica da Mat{\'e}ria Condensada,
38.",
abstract = "The zero-temperature superconductor to insulator transition is
studied in a self-charging model of Josephson-junction arrays in
an external magnetic Ĝeld corresponding to f flux quantum per
plaquette. The model can be physically realized as two-dimensional
arrays of weakly coupled superconducting grains and ultra-thin
superconducting films with a triangular pattern of nanoholes
[1,2]. When charging effects due to the small capacitance of the
grains or junctions dominate, strong quantum fluctuations of the
phase of the superconducting order parameter drive the system into
an insulating phase at zero temperature leading to a
superconductor to insulator transition as a function of charging
energy. In presence of an external magnetic field, frustration
effects lead to distinct universality classes which depend on the
geometry of the array. For a Josephson-junction array on square
lattice, the universality class of these transitions have already
been investigated in detail numerically [3]. However, for a
Josephson-junction array on a honeycomb lattice there are very few
results. Path integral Monte Carlo simulations of the equivalent
(2+1)-dimensional classical model are used to study the phase
transition and critical behavior. For f = 0 and f = 1 = 2, the
transition is second order and the corresponding correlation
length critical exponents are estimated from finite-size
scaling.",
conference-location = "Foz do Igua{\c{c}}u, PR",
conference-year = "24-28 maio",
language = "en",
urlaccessdate = "19 jan. 2021"
}