Quantum-size effects on in superconducting nanofilmsA. A. Shanenko1, 2, M. D. Croitoru1 and F. M. Peeters1
1 Departement Fysica, Universiteit Antwerpen - Groenenborgerlaan 171 B-2020 Antwerpen, Belgium
2 Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research 141980 Dubna, Russia
received 17 August 2006; accepted 1 September 2006
published online 22 September 2006
An essential property of a high-quality metallic nanofilm is the quantization of the electron spectrum due to dimensional confinement in one direction. Quantum confinement has a substantial impact on the superconducting characteristics and leads to quantum-size variations of the critical temperature with film thickness. We demonstrate that the Bogoliubov-de Gennes equations are able to describe the thickness-dependent in nanofilms, and our results are in good agreement with recent experimental data on flat terraces grown on silicon (Science, 306 (2004) 1915 and Nature Phys., 2 (2006) 173). We predict that the quantum-size oscillations of will be more pronounced for .
74.78.-w - Superconducting films and low-dimensional structures.
74.78.Na - Mesoscopic and nanoscale systems.
74.62.-c - Transition temperature variations.
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