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Garcia-Garcia, Antonio ; Urbina, Juan Diego ; Yuzbashyan, Emil ; Richter, Klaus ; Altshuler, Boris

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 typeArticle
Journal or Publication TitlePhysical Review Letters (PRL)
Publisher:AMER PHYSICAL SOC
Place of Publication:COLLEGE PK
Volume:100
Number of Issue or Book Chapter:18
Page Range:p. 187001
Date5 May 2008
InstitutionsPhysics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter
Identification Number
ValueType
10.1103/PhysRevLett.100.187001DOI
0710.2286arXiv ID
Classification
NotationType
74.20.FgPACS
05.45.MtPACS
74.78.NaPACS
KeywordsPARTICLES; STATISTICS; PARITY; LIMIT;
Dewey Decimal Classification500 Science > 530 Physics
StatusPublished
RefereedYes, this version has been refereed
Created at the University of RegensburgPartially
URN of the UB Regensburgurn:nbn:de:bvb:355-epub-78069
Item ID7806

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