Title
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Ultra-small metallic grains : effect of statistical fluctuations of the chemical potential on superconducting correlations and vice versa
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Author
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Abstract
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Superconducting correlations in an isolated metallic grain are governed by the interplay between two energy scales: the mean level spacing delta and the bulk pairing gap Delta(0), which are strongly influenced by the position of the chemical potential with respect to the closest single-electron level. In turn superconducting correlations affect the position of the chemical potential. Within the parity projected BCS model we investigate the probability distribution of the chemical potential in a superconducting grain with randomly distributed single-electron levels. Taking into account statistical fluctuations of the chemical potential due to the pairing interaction, we find that such fluctuations have a significant impact on the critical level spacing delta(c) at which the superconducting correlations cease: the critical ratio delta(c)/Delta(0) at which superconductivity disappears is found to be increased. |
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Language
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English
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Source (journal)
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Journal of physics : condensed matter. - London
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Publication
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London
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2012
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ISSN
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0953-8984
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DOI
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10.1088/0953-8984/24/27/275701
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Volume/pages
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24
:27
(2012)
, 8 p.
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Article Reference
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275701
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ISI
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000305653100012
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Medium
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E-only publicatie
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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