Casimir interactions in graphene systems
Bo E. Sernelius
With modern technology it is now possible to produce large-area graphene sheets and graphene has become one of the most advanced two-dimensional (2D) materials of today. A graphene layer interacts with other graphene layers or with a substrate with Casimir forces, forces that were predicted by Casimir in 1948.
We determined the non-retarded Casimir interaction (van der Waals interaction) between two freestanding graphene sheets as well as between a graphene sheet and a substrate. We used several different derivations of the interaction.
Figure: (a): The attractive interaction energy between two graphene sheets. The straight line is for undoped sheets, while the bent curves are for doping densities 10 10 , 10 11 , 10 12 , and 10 13 cm −2 , respectively, counted from below. (b): The attractive interaction energy between a graphene sheet and a gold substrate. The lowest curve is for an undoped sheet, while the other curves are for doping densities 10 10 , 10 11 , 10 12 , and 10 13 cm −2 , respectively, counted from below. The inset shows the expanded lower right part of the figure.
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Last updated: 09/23/11