Quantum fluctuations in chains of Josephson junctions

@article{Bradley1984QuantumFI,
  title={Quantum fluctuations in chains of Josephson junctions},
  author={R. Mark Bradley and Sebastian Doniach},
  journal={Physical Review B},
  year={1984},
  volume={30},
  pages={1138-1147}
}
We study the effect of quantum fluctuations of the phase on the low-temperature behavior of two models of Josephson junction chains with Coulomb interactions taken into account. The first model, which represents a chain of junctions close to a ground plane, is the Hamiltonian version of the two-dimensional XY model in one space and one time dimension. We demonstrate explicitly how the Nelson-Kosterlitz jump manifests itself in the conduction properties of this system at a critical value of the… 
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