@Article{Granato:2019:CrExFi,
author = "Granato, Enzo",
affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)}",
title = "Critical exponents and fine-grid vortex model of the dynamic
vortex Mott transition in superconducting arrays",
journal = "Physical Review B",
year = "2019",
volume = "100",
number = "10",
pages = "e104517",
month = "Sept.",
abstract = "We study the dynamic vortex Mott transition in two-dimensional
superconducting arrays in a magnetic field with f flux quantum per
plaquette. The transition is induced by external driving current
and thermal fluctuations near rational vortex densities set by the
value of f and has been observed experimentally from the scaling
behavior of the differential resistivity. Recently, numerical
simulations of interacting vortex models have demonstrated this
behavior only near fractional f. A fine-grid vortex model is
introduced, which allows us to consider both the cases of
fractional and integer f. The critical behavior is determined from
a scaling analysis of the current-voltage relation and voltage
correlations near the transition and by Monte Carlo simulations.
The critical exponents for the transition near f = 1/2 are
consistent with the experimental observations and previous
numerical results from a standard vortex model. The same scaling
behavior is obtained for f = 1, in agreement with experiments.
However, the estimated correlation-length exponent indicates that
even at integer f, the critical behavior is not of mean-field
type.",
doi = "10.1103/PhysRevB.100.104517",
url = "http://dx.doi.org/10.1103/PhysRevB.100.104517",
issn = "1098-0121",
language = "en",
targetfile = "granato_critical.pdf",
urlaccessdate = "17 jan. 2021"
}