Abstract

We study the effects of the mesoscopic fluctuations on the competition between exchange and pairing interactions in ultrasmall metallic dots when the mean level spacing $\ensuremath{\delta}$ is comparable or larger than the BCS pairing energy $\ensuremath{\Delta}.$ Due to mesoscopic fluctuations, the probability to have a nonzero spin ground state may be nonvanishing, and shows universal features related to both level statistics and interaction. Sample-to-sample fluctuations of the renormalized pairing are highlighted.

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