Phase transitions in the one‐dimensional frustrated quantum XY model and Josephson‐junction ladders

  title={Phase transitions in the one‐dimensional frustrated quantum XY model and Josephson‐junction ladders},
  author={Enzo Granato},
  journal={Journal of Applied Physics},
  • E. Granato
  • Published 9 March 1994
  • Physics
  • Journal of Applied Physics
A one‐dimensional quantum version of the frustrated XY (planar rotor) model is considered which can be physically realized as a ladder of Josephson junctions at half a flux quantum per plaquette. This system undergoes a superconductor to insulator transition at zero temperature as a function of charging energy. The critical behavior is studied using a Monte Carlo transfer matrix applied to the path‐integral representation of the model and a finite‐size‐scaling analysis of data on small system… 

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