Eur. Phys. J. B (2013) 86: 43
https://doi.org/10.1140/epjb/e2012-31051-9

Regular Article

Casimir force between atomically thin gold films

¹ Department of Materials Science and Engineering, Royal Institute of Technology, 10044 Stockholm, Sweden
² Department of Physics, University of Oslo, P.O. Box 1048 Blindern, 0316 Oslo, Norway
³ Division of Theory and Modeling, Department of Physics, Chemistry and Biology, Linköping University, 58183 Linköping, Sweden

^a e-mail: bos@ifm.liu.se

Received: 19 November 2012
Published online: 6 February 2013

Abstract

We have used density functional theory to calculate the anisotropic dielectric functions for ultrathin gold sheets (composed of 1, 3, 6, and 15 atomic layers). Such films are important components in nano-electromechanical systems. When using correct dielectric functions rather than bulk gold dielectric functions we predict an enhanced attractive Casimir-Lifshitz force (at most around 20%) between two atomically thin gold sheets. For thicker sheets the dielectric properties and the corresponding Casimir forces approach those of gold half-spaces. The magnitude of the corrections that we predict should, within the today’s level of accuracy in Casimir force measurements, be clearly detectable.