Quantum phase transitions and commensurability in frustrated Josephson junction arrays

  title={Quantum phase transitions and commensurability in frustrated Josephson junction arrays},
  author={Christoph Bruder and Rosario Fazio and Arno P. Kampf and Anne van Otterlo and Gerd Sch{\"o}n},
  journal={Physica Scripta},
The superconductor-insulator transition of an array of Josephson junctions is studied. In junctions with small capacitance the interaction of charges introduces quantum fluctuations and shifts the phase transition. An external voltage controls the total charge and creates "charge frustration". Commensurability effects lead to similar structure in the phase diagram as had been found for magnetic frustration. The model used to describe a nonclassical junction array is similar to a Bose-Hubbard… 
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