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Bardeen-Cooper-Schrieffer Theory of Finite-Size Superconducting Metallic Grains
Garcia-Garcia, Antonio
, Urbina, Juan Diego, Yuzbashyan, Emil, Richter, Klaus and Altshuler, Boris
(2008)
Bardeen-Cooper-Schrieffer Theory of Finite-Size Superconducting Metallic Grains.
Physical Review Letters (PRL) 100 (18), p. 187001.
Date of publication of this fulltext: 05 Aug 2009 13:57
Article
DOI to cite this document: 10.5283/epub.7806
Abstract
We study finite-size effects in superconducting metallic grains and determine the BCS order parameter and the low energy excitation spectrum in terms of the size and shape of the grain. Our approach combines the BCS self-consistency condition, a semiclassical expansion for the spectral density and interaction matrix elements, and corrections to the BCS mean field. In chaotic grains mesoscopic ...
We study finite-size effects in superconducting metallic grains and determine the BCS order parameter and the low energy excitation spectrum in terms of the size and shape of the grain. Our approach combines the BCS self-consistency condition, a semiclassical expansion for the spectral density and interaction matrix elements, and corrections to the BCS mean field. In chaotic grains mesoscopic fluctuations of the matrix elements lead to a smooth dependence of the order parameter on the excitation energy. In the integrable case we observe shell effects when, e.g., a small change in the electron number leads to large changes in the energy gap.
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Details
| Item type | Article | ||||||||
| Journal or Publication Title | Physical Review Letters (PRL) | ||||||||
| Publisher: | AMER PHYSICAL SOC | ||||||||
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| Place of Publication: | COLLEGE PK | ||||||||
| Volume: | 100 | ||||||||
| Number of Issue or Book Chapter: | 18 | ||||||||
| Page Range: | p. 187001 | ||||||||
| Date | 5 May 2008 | ||||||||
| Institutions | Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter | ||||||||
| Identification Number |
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| Classification |
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| Keywords | PARTICLES; STATISTICS; PARITY; LIMIT; | ||||||||
| Dewey Decimal Classification | 500 Science > 530 Physics | ||||||||
| Status | Published | ||||||||
| Refereed | Yes, this version has been refereed | ||||||||
| Created at the University of Regensburg | Partially | ||||||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-78069 | ||||||||
| Item ID | 7806 |
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