@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"
}