Resonant Josephson current through a quantum dot

We calculate the DC Josephson current through a semiconducting quantum dot which is weakly coupled by tunnel barriers to two superconducting reservoirs. A Breit-Wigner resonance in the conductance corresponds to a resonance in the critical current, but with a different (non-lorentzian) lineshape.Comment: 5 pages including 1 figure; this paper was published in the proceedings of SQUID'91; it is archived here because of its relevance to cond-mat/011148