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 μ−1 close to subband edges as a function of the Fermi energy μ, and follows 3D scaling μ−2 away from them. We discuss nonlinearities beyond gate effect, and contrast results to recent experiments.
@article{arxiv.1903.01155,
title = {Superconducting size effect in thin films under electric field: mean-field self-consistent model},
author = {P. Virtanen and A. Braggio and F. Giazotto},
journal= {arXiv preprint arXiv:1903.01155},
year = {2019}
}