Josephson coupling through a quantum dot

@article{Rozhkov2001JosephsonCT,
  title={Josephson coupling through a quantum dot},
  author={A. Rozhkov and D. Arovas and F. Guinea},
  journal={Physical Review B},
  year={2001},
  volume={64},
  pages={233301}
}
We derive, via fourth-order perturbation theory, an expression for the Josephson current through a gated interacting quantum dot. We analyze our expression for two different models of the superconductor-dot-superconductor (SDS) system. When the matrix elements connecting dot and leads are featureless constants, we compute the Josephson coupling ${J}_{c}$ as a function of the gate voltage and Coulomb interaction. In the limit of a diffusive dot, we compute the probability distribution ${P(J}_{c… Expand
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