Abstract

The author provides a full theoretical description of current transport in finite-size superconductors with variable attractive pairing interaction. The solution shows an intricate interplay between strong quantum fluctuations induced by the finite system size and the interaction strength, which tunes a BEC-BCS crossover. The results explain a recent experiment on mesoscopic superconducting semiconductor nanowires and point the way to a systematic understanding of mesoscopic fluctuations in superconductors. In particular, the study identifies the first experimental detection of a fundamental quantity in mesoscopic superconductivity, the parity parameter.

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