Garcia-Garcia, Antonio M. and Urbina, Juan Diego and Yuzbashyan, Emil A. and Richter, Klaus and Altshuler, Boris L. (2011) BCS superconductivity in metallic nanograins: Finite-size corrections, low-energy excitations, and robustness of shell effects. PHYSICAL REVIEW B, 83 (1): 014510. ISSN 1098-0121,
Full text not available from this repository.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 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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | WAVE-EQUATION; SHAPE RESONANCES; GRAINS; PARTICLES; CLUSTERS; EIGENFREQUENCIES; DOMAIN; NANOCLUSTERS; STATISTICS; MODEL; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 29 Jun 2020 05:57 |
| Last Modified: | 29 Jun 2020 05:57 |
| URI: | https://pred.uni-regensburg.de/id/eprint/21388 |
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