Finite temperature Casimir effect for graphene

Details Finite temperature Casimir effect for graphene Finite temperature Casimir effect for graphene

2011-02-09

arxiv.org/abs/1102.1757v2

Phys.Rev.B84:035446,2011

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 2 figures, to appear in Physical Review B

Scientific paper

We adopt the Dirac model for quasiparticles in graphene and calculate the finite temperature Casimir interaction between a suspended graphene layer and a parallel conducting surface. We find that at high temperature the Casimir interaction in such system is just one half of that for two ideal conductors separated by the same distance. In this limit single graphene layer behaves exactly as a Drude metal. In particular, the contribution of the TE mode is suppressed, while one of the TM mode saturates the ideal metal value. Behaviour of the Casimir interaction for intermediate temperatures and separations accessible for an experiment is studied in some detail. We also find an interesting interplay between two fundamental constants of graphene physics: the fine structure constant and the Fermi velocity.

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