Effect of Level Statistics on Superconductivity in Ultrasmall Metallic Grains

Robert Smith, V Ambegaokar

Research output: Contribution to journalArticle

104 Citations (Scopus)


We examine the destruction of superconducting pairing in metallic grains as their size is decreased for both even and odd numbers of electrons. This occurs when the average level spacing d is of the same order as the BCS order parameter Delta. The energy levels of these grains are randomly distributed according to random matrix theory, and we must work statistically. We find that the average value of the critical level spacing is larger than that for the model of equally spaced levels for both parities, and derive numerically the probability densities P-o,P-e(d) that a grain of mean level spacing d shows pairing.
Original languageEnglish
Pages (from-to)4962-4965
Number of pages4
JournalPhysical Review Letters
Issue number24
Publication statusPublished - 1 Dec 1996


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