Casimir interaction between a perfect conductor and graphene described by the Dirac model
Abstract
We adopt the Dirac model for graphene and calculate the Casimir interaction energy between a plane suspended graphene sample and a parallel plane perfect conductor. This is done in two ways. First, we use the Quantum Field Theory (QFT) approach and evaluate the leading order diagram in a theory with 2+1 dimensional fermions interacting with 3+1 dimensional photons. Next, we consider an effective theory for the electromagnetic field with matching conditions induced by quantum quasi-particles in graphene. The first approach turns out to be the leading order in the coupling constant of the second one. The Casimir interaction for this system appears to be rather weak. It exhibits a strong dependence on the mass of the quasi-particles in graphene.
Keywords
Cite
@article{arxiv.0907.3242,
title = {Casimir interaction between a perfect conductor and graphene described by the Dirac model},
author = {M. Bordag and I. V. Fialkovsky and D. M. Gitman and D. V. Vassilevich},
journal= {arXiv preprint arXiv:0907.3242},
year = {2010}
}
Comments
5pp, v2: improved version, to appear in PRB