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

@article{Bordag2009CasimirIB,
  title={Casimir interaction between a perfect conductor and graphene described by the Dirac model},
  author={Michael Bordag and Ignat V. Fialkovsky and Dmitry M. Gitman and Dmitri V. Vassilevich},
  journal={Physical Review B},
  year={2009},
  volume={80},
  pages={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 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… Expand

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