Casimir Forces and Graphene Sheets
Mesoscale and Nanoscale Physics
2015-05-19 v1
Abstract
The Casimir force between two infinitely thin parallel sheets in a setting of such sheets is found. The finite two-dimensional conductivities, which describe the dispersive and absorptive properties of each sheet, are taken into account, whereupon the theory is applied to interacting graphenes. By exploring similarities with in-plane optical spectra for graphite, the conductivity of graphene is modeled as a combination of Lorentz type oscillators. We find that the graphene transparency and the existence of a universal constant conductivity result in graphene/graphene Casimir interaction at large separations to have the same distance dependence as the one for perfect conductors but with much smaller magnitude.
Cite
@article{arxiv.1007.1231,
title = {Casimir Forces and Graphene Sheets},
author = {D. Drosdoff and Lilia M. Woods},
journal= {arXiv preprint arXiv:1007.1231},
year = {2015}
}