Asymptotics of the dispersion interaction: analytic benchmarks for van der Waals energy functionals

Physics – Condensed Matter – Soft Condensed Matter

Scientific paper

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4 pages in two-column format

Scientific paper

10.1103/PhysRevLett.96.073201

We show that the usual sum of $R^{-6}$ contributions from elements separated by distance $R$ can give \emph{qualitatively} wrong results for the electromagnetically non-retarded van der Waals interaction between non-overlapping bodies. This occurs for anisotropic nanostructures that have a zero electronic energy gap, such as nanowires, conducting nanotubes, and nano-layered systems including metals and graphene planes. In all these cases our analytic microscopic calculations give an interaction falling off with a power of separation different from the conventional value. We discuss implications for van der Waals energy functionals. The new nanotube interaction might be directly measurable at sub-micron separations.

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