Abstract

A model of a ladder of Josephson junctions in a magnetic field is considered. The topological features of the zero-temperature phase diagram, as a function of charging energy and small deviations from commensurability of the vortex lattice, are strongly dependent on the field. In addition to superconductor-insulator transitions, commensurate-incommensurate transitions and depinning by quantum fluctuations of the vortex lattice are also possible. The critical behavior of the superconductor-insulator transition at f = 1/2 is found to depend on the ratio between interchain and intrachain Josephson couplings and is in the universality class of the classical XY-Ising model.KeywordsCritical BehaviorJosephson JunctionUniversality ClassVortex LatticeQuantum FluctuationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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