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18 April 2024

» arxiv » 0911.1559

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BCS superconductivity in metallic nanograins: Finite-size corrections, low energy excitations, and robustness of shell effects
Antonio M. Garcia-Garcia ; Juan Diego Urbina ; Emil A. Yuzbashyan ; Klaus Richter ; Boris L. Altshuler ;
Date:	8 Nov 2009
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 2d and 3d superconducting grain. 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 find shell effects i. e. for certain values of the electron number N a small change in N leads to large changes in the energy gap. With regard to possible experimental tests we provide a detailed analysis of the dependence of the gap on the coherence length and the robustness of shell effects under small geometrical deformations.
Source:	arXiv, 0911.1559
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