Parity effect in a small superconducting grain: A rigorous result

Abstract

The parity effect in an ultra-small superconducting grain is examined. By applying a generalized version of Lieb's spin-reflection positivity technique, we show rigorously that the parity parameter ${\Delta }_P$ is nonvanishing in such a system. A positive lower bound for ${\Delta }_P$ is derived.

6 pages

References in corpus (2)

• A small superconducting grain in the canonical ensemble
• Parity Effect in a Small Superconducting Particle

Cited by in corpus (3)

• Spectroscopy of discrete energy levels in ultrasmall metallic grains
• Superconducting correlations in ultra-small metallic grains
• Topology of superconductors beyond mean-field theory