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arXiv · 1007.1231

Casimir Forces and Graphene Sheets

D. Drosdoff·Lilia M. Woods
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Abstract

The Casimir force between two infinitely thin parallel sheets in a setting of $N$ such sheets is found. The finite two-dimensional conductivities, which describe the dispersive and absorptive properties of each sheet, are taken into account, whereupon the theory is applied to interacting graphenes. By exploring similarities with in-plane optical spectra for graphite, the conductivity of graphene is modeled as a combination of Lorentz type oscillators. We find that the graphene transparency and the existence of a universal constant conductivity $e^2/(4\hbar)$ result in graphene/graphene Casimir interaction at large separations to have the same distance dependence as the one for perfect conductors but with much smaller magnitude.

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D. Drosdoff, Lilia M. Woods. 2010-07-07. Casimir Forces and Graphene Sheets. https://doi.org/10.1103/physrevb.82.155459

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