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Quantum confinement of electrons in a high-quality metallic nanofilm results in the formation of quantumwell states. The band of single-electron states is split into a series of subbands moving in energy with changing film thickness. When the bottom of such a subband passes through the Fermi surface, a shape resonance appears leading to oscillations of the critical temperature Tc as a function of film thickness. We present a quantitative description of recent experimental data on the film-thickness dependence of Tc in Pb nanofilms with atomic-scale uniformity in thickness Science 306, 1915 2004 through a numerical solution of the Bogoliubov‐de Gennes equations. DOI: 10.1103/PhysRevB.75.014519

physical review b

Oscillations of the superconducting temperature induced by quantum well states in thin metallic films: Numerical solution of the Bogoliubov–de Gennes equations