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BCS superconductivity in metallic nanograins: Finite-size corrections, low-energy excitations, and robustness of shell effects

URN to cite this document:
urn:nbn:de:bvb:355-epub-132570
Garcia-Garcia, Antonio ; Urbina, Juan Diego ; Richter, Klaus ; Yuzbashyan, Emil ; Altshuler, Boris
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arXiv PDF (02.02.2011)
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Date of publication of this fulltext: 05 Mar 2010 07:20



Abstract

We combine the BCS self-consistency condition, a semiclassical expansion for the spectral density and interaction matrix elements to describe analytically how the superconducting gap depends on the size and shape of a two- and three-dimensional superconducting grain. In chaotic grains mesoscopic fluctuations of the matrix elements lead to a smooth dependence of the order parameter on the ...

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