Casimir interaction between a perfect conductor and graphene described by the Dirac model

Details Casimir interaction between a perfect conductor and graphene described by the Dirac model Casimir interaction between a perfect conductor and graphene described by the Dirac model

2009-07-18

arxiv.org/abs/0907.3242v2

Phys.Rev.B80:245406,2009

Physics

High Energy Physics

High Energy Physics - Theory

5pp, v2: improved version, to appear in PRB

Scientific paper

10.1103/PhysRevB.80.245406

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.

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