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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

DOI 10.1103/PhysRevB.75.014519 · Physical Review B

T1

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Abstract

Quantum confinement of electrons in a high-quality metallic nanofilm results in the formation of quantum-well 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.

Source-reported materials — not catalogue approval

FormulaReported Tc (K)Pressure (GPa)Type
Cd

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—Pressure not reportedunknown
Al

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Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.

—Pressure not reportedunknown
Sn

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—Pressure not reportedunknown
Pb

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—Pressure not reportedunknown

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