Quantum Resonances of Weakly Linked, Mesoscopic, Superconducting Dots

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We examine quantum properties of mesoscopic, Josephson coupled superconducting dots, in the limit that charging effects and quantization of energy levels within the dots are negligible, but quasi-particle transmission into the weak link is not. We demonstrate that quasi-particle resonances lead to current-phase relations, which deviate markedly from those of weak links connecting macroscopic superconductors. Results for the steady state dc Josephson current of two coupled dots are presented.
Tex, 3 figures available on request to pyb063@cent1.lancs.ac.uk (Andy Martin)

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