Superconducting size effect in thin films under electric field: mean-field self-consistent model

Abstract

We consider effects of an externally applied electrostatic field on superconductivity, self-consistently within a BCS mean field model, for a clean 3D metal thin film. The electrostatic change in superconducting condensation energy scales as ${\mu }^{-1}$ close to subband edges as a function of the Fermi energy $\mu$, and follows 3D scaling ${\mu }^{-2}$ away from them. We discuss nonlinearities beyond gate effect, and contrast results to recent experiments.

8 pages, 5 figures

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