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arXiv · 1204.4438

Effects of Spatial Dispersion on the Casimir Force between Graphene Sheets

D. Drosdoff·A. D. Phan·L. M. Woods·I. V. Bondarev·J. F. Dobson
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Abstract

The Casimir force between graphene sheets is investigated with emphasis on the effect from spatial dispersion using a combination of factors, such as a nonzero chemical potential and an induced energy gap. We distinguish between two regimes for the interaction - T=0 $K$ and $T\neq 0$ $K$. It is found that the quantum mechanical interaction (T=0 $K$) retains its distance dependence regardless of the inclusion of dispersion. The spatial dispersion from the finite temperature Casimir force is found to contribute for the most part from $n=0$ Matsubara term. These effects become important as graphene is tailored to become a poor conductor by inducing a band gap.

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D. Drosdoff, A. D. Phan, L. M. Woods, I. V. Bondarev, J. F. Dobson. 2012-04-19. Effects of Spatial Dispersion on the Casimir Force between Graphene Sheets. https://doi.org/10.1140/epjb/e2012-30741-6

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