author = "Granato, Enzo",
          affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)}",
                title = "Critical behavior of dynamic vortex Mott transition in 
                         superconducting arrays at fractional vortex densities",
              journal = "Physical Review B",
                 year = "2018",
               volume = "98",
               number = "9",
                pages = "e094511",
                month = "Sept.",
             abstract = "We study the differential resistivity transition of 
                         two-dimensional superconducting arrays induced by an external 
                         driving current, in the presence of thermal fluctuations and a 
                         magnetic field corresponding to f flux quantum per plaquette. 
                         Recent experiments have identified this transition as a dynamic 
                         vortex Mott insulator transition at vortex densities near rational 
                         values of f . The critical behavior is determined from a scaling 
                         analysis of the current-voltage relation near the transition, 
                         obtained by Monte Carlo simulations of a Josephson-junction array 
                         model in the vortex representation. For a square-lattice array, 
                         the critical exponents obtained near f = 1/2 are consistent with 
                         the experimental observations. The same scaling behavior is 
                         observed near f = 1/3. For a honeycomb array, although similar 
                         results are obtained for f = 1/3, the transition is absent for f = 
                         1/2, consistent with an incommensurate vortex phase.",
                  doi = "10.1103/PhysRevB.98.094511",
                  url = "http://dx.doi.org/10.1103/PhysRevB.98.094511",
                 issn = "1098-0121",
             language = "en",
           targetfile = "granato-critical.pdf",
        urlaccessdate = "25 jul. 2021"