Physics – Condensed Matter – Superconductivity
Scientific paper
2001-11-29
Physics
Condensed Matter
Superconductivity
13 pages, 5 figures, to be published in Solid State Communications, E-mail addresses: devreese@uia.ua.ac.be, fomin@uia.ua.ac.b
Scientific paper
10.1016/S0038-1098(01)00512-9
The Richardson exact solution for the reduced BCS Hamiltonian is applied to examine how sensitive are the pairing characteristics (condensation energy, spectroscopic gap, parity gap) to a specific configuration of single-electron energy levels in nanosize metallic grains. Using single-electron energy spectra in parallelepiped-shaped potential boxes with various volumes and aspect ratios as a model of energy levels in grains, we show that this sensitivity is extremely high. Just due to such an extreme sensitivity, the detailed shape of grains cannot be detected through the pairing characteristics, averaged over an ensemble of grains, even in the case of relatively small size dispersion within this ensemble. We analyse the effect of the pairing interaction on the excited-level spacings in superconducting grains and comment on the influence of shape-dependent fluctuations in single-electron energy spectra on the possibility to reveal this effect through tunnelling measurements.
Devreese J. T.
Fomin V. M.
Gladilin V. N.
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