Critical behavior of dynamic vortex Mott transition in superconducting arrays at fractional vortex densities

Enzo Granato

doi:10.1103/PhysRevB.98.094511

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Critical behavior of dynamic vortex Mott transition in superconducting arrays at fractional vortex densities

Enzo Granato

DOI 10.1103/PhysRevB.98.094511 · Physical Review B

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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.