Critical properties of two-dimensional Josephson-junction arrays with zero-point quantum fluctuations.

  title={Critical properties of two-dimensional Josephson-junction arrays with zero-point quantum fluctuations.},
  author={Rojas and Jos{\'e}},
  journal={Physical review. B, Condensed matter},
  volume={54 17},
  • Rojas, José
  • Published 7 October 1996
  • Physics
  • Physical review. B, Condensed matter
We present results from an extensive analytic and numerical study of a two-dimensional model of a square array of ultrasmall Josephson junctions. We include the ultrasmall self and mutual capacitances of the junctions, for the same parameter ranges as those produced in the experiments. The model Hamiltonian studied includes the Josephson, $E_J$, as well as the charging, $E_C$, energies between superconducting islands. The corresponding quantum partition function is expressed in different… 
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