Parity-Affected Superconductivity in Ultrasmall Metallic Grains

Abstract

We investigate the breakdown of BCS superconductivity in {\em ultra}\/small metallic grains as a function of particle size (characterized by the mean spacing $d$ between discrete electronic eigenstates), and the parity ($P$ = even/odd) of the number of electrons on the island. Assuming equally spaced levels, we solve the parity-dependent BCS gap equation for the order parameter ${\Delta }_P(d,T)$. Both the $T=0$ critical level spacing $d_{c,P}$ and the critical temperature $T_{c,P}(d)$ at which ${\Delta }_P=0$ are parity dependent, and both are so much smaller in the odd than the even case that these differences should be measurable in current experiments.

4 pages RevTeX, 1 encapsulated postscript figure, submitted to Physical Review Letters

References in corpus (1)

• BCS Superconductivity with Fixed Number Parity

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