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 quantumfieldtheory approach and evaluate the leadingorder 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 quasiparticles 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 quasiparticles in graphene.
 Publication:

Physical Review B
 Pub Date:
 December 2009
 DOI:
 10.1103/PhysRevB.80.245406
 arXiv:
 arXiv:0907.3242
 Bibcode:
 2009PhRvB..80x5406B
 Keywords:

 12.20.Ds;
 73.22.f;
 Specific calculations;
 Electronic structure of nanoscale materials: clusters nanoparticles nanotubes and nanocrystals;
 High Energy Physics  Theory;
 Condensed Matter  Mesoscale and Nanoscale Physics;
 Quantum Physics
 EPrint:
 5pp, v2: improved version, to appear in PRB