Parity effect in a small superconducting grain: A rigorous result

Physics – Condensed Matter – Superconductivity

Scientific paper

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6 pages

Scientific paper

10.1103/PhysRevB.58.12333

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.

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