D. Drosdoff, Lilia M. Woods
Published 2010-07-07Version 1
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.
Large temperature dependence of the Casimir force at the metal-insulator transition
Van der Waals and Casimir interactions between two graphene sheets
Roughness correction to the Casimir force at short separations: Contact distance and extreme value statistics
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