Effects of Spatial Dispersion on the Casimir Force between Graphene Sheets

Details Effects of Spatial Dispersion on the Casimir Force between Graphene Sheets Effects of Spatial Dispersion on the Casimir Force between Graphene Sheets

2012-04-19

arxiv.org/abs/1204.4438v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 9 figures. Submitted to EPL

Scientific paper

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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