@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