Fixed-N Superconductivity: The Exact Crossover from the Bulk to the Few-Electron Limit

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dc.creatorBraun, Fabian
dc.creatorvon Delft, Jan
dc.date1999-07-26
dc.date.accessioned2026-07-07T03:14:02Z
dc.date.available2026-07-07T03:14:02Z
dc.descriptionWe use two truly canonical approaches to describe superconductivity in ultrasmall metallic grains: (a) a variational fixed-N projected BCS-like theory and (b) an exact solution of the model Hamiltonian developed by Richardson in context with Nuclear Physics. Thereby we obtain a description of the entire crossover from the bulk BCS regime (mean level spacing $d\ll$ bulk gap $\tildeΔ$) to the `fluctuation-dominated' few-electron regime ($d\gg\tildeΔ$). A wave-function analysis shows in detail how the BCS limit is recovered and how for $d\gg\tildeΔ$ pairing correlations become delocalized in energy space.
dc.descriptionShort overview (6 pages, 2 figures), comparison to exact results obtained by Richardson in Nuclear Physics
dc.identifierhttps://arxiv.org/abs/cond-mat/9907402
dc.identifierhttp://arxiv.org/abs/cond-mat/9907402
dc.identifierAdvances in Solid State Physics, vol. 39, p. 341 (Vieweg Braunschweig/Wiesbaden 1999)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29524
dc.subjectSuperconductivity
dc.subjectNuclear Theory
dc.titleFixed-N Superconductivity: The Exact Crossover from the Bulk to the Few-Electron Limit
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