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

By M. Bordag, I. Fialkovsky, D. Gitman, D. Vassilevich. 2009

140 citations recorded by the source corpus.

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 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 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.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/9b03bc5c715e5cef07b9ced9eb0d9e35881fafc7

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In Atomic and Molecular Physics, and Optics

In Materials Chemistry

In Statistical and Nonlinear Physics

Citations in the corpus

Materials perspective on Casimir and van der Waals interactions (2015, methodology): “The interaction between two substrates with dielectric function ε(ω) separated by a water layer with εw(ω) can be described by the standard Lifshitz formula (Eq.9) (Bordag et al., 2009b).”