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 flux quantum per plaquette. Recent experiments have identified this transition as a dynamic vortex Mott insulator transition at vortex densities near rational values of . 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 are consistent with the experimental observations. The same scaling behavior is observed near . For a honeycomb array, although similar results are obtained for , the transition is absent for , consistent with an incommensurate vortex phase.
- Received 5 June 2018
- Revised 15 June 2018
DOI:https://doi.org/10.1103/PhysRevB.98.094511
©2018 American Physical Society