https://doi.org/10.1140/epja/s10050-023-01155-9
Regular Article - Theoretical Physics
Generic size dependences of pairing in ultrasmall systems: electronic nano-devices and atomic nuclei
1
CEA, DES, IRESNE, DER, SPRC, 13108, Saint Paul Lez Durance, France
2
Department of Physics, University of York, Heslington, Y010 5DD, York, UK
3
Université Paris-Saclay, CNRS, IJCLab, IN2P3-CNRS, 91405, Orsay, France
4
Université Grenoble Alpes, CNRS, LPMMC, 38000, Grenoble, France
5
Departament de Física Quàntica i Astrofísica (FQA), Universitat de Barcelona (UB), Martí i Franquès 1, 08028, Barcelona, Spain
6
Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona (UB), Martí i Franquès 1, 08028, Barcelona, Spain
7
Institut Menorquí d’Estudis, Camí des Castell 28, 07702, Maó, Spain
Received:
28
June
2023
Accepted:
4
October
2023
Published online:
25
October
2023
We study the average and global pairing behaviours of electronic devices, like films, wires, and grains using semiclassical methods, such as Weyl and Thomas–Fermi approximations, in the ultrasmall, i.e., quantal regime, which exhibits strong quantum fluctuations and shell effects. We discuss how these results, mostly analytic, are elaborated for average size dependencies, in order to be used in other circumstances when the fully quantal calculation become computationally too expensive. We also compare the results with latest experimental one where possible.
P. Schuck and X. Viñas contributed equally to this work.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
