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

A. A. Shanenko, M. D. Croitoru, F. M. Peeters
2007 Physical Review B  
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 T c as a function of film thickness. We present a quantitative description of recent experimental data on the
more » ... ta on the film-thickness dependence of T c in Pb nanofilms with atomic-scale uniformity in thickness ͓Science 306, 1915 ͑2004͔͒ through a numerical solution of the Bogoliubov-de Gennes equations.
doi:10.1103/physrevb.75.014519 fatcat:ifscu6ndsfbn5bhi6d3mk4t6rm