| Issue |
EPL
Volume 109, Number 4, February 2015
|
|
|---|---|---|
| Article Number | 43002 | |
| Number of page(s) | 5 | |
| Section | Atomic, Molecular and Optical Physics | |
| DOI | https://doi.org/10.1209/0295-5075/109/43002 | |
| Published online | 06 March 2015 | |
Long-range interaction of anisotropic systems
PSE Division, King Abdullah University of Science and Technology - Thuwal 23955-6900, Saudi Arabia
(a) Udo.Schwingenschlogl@kaust.edu.sa
Received: 3 November 2014
Accepted: 16 February 2015
The first-order electrostatic interaction energy between two far-apart anisotropic atoms depends not only on the distance between them but also on their relative orientation, according to Rayleigh-Schrödinger perturbation theory. Using the first-order interaction energy and the continuum model, we study the long-range interaction between a pair of parallel pristine graphene sheets at zero temperature. The asymptotic form of the obtained potential density, 
, is consistent with the random phase approximation and Lifshitz theory. Accordingly, neglectance of the anisotropy, especially the nonzero first-order interaction energy, is the reason why the widely used Lennard-Jones potential approach and dispersion corrections in density functional theory give a wrong asymptotic form 
.
PACS: 34.20.Cf – Interatomic potentials and forces / 71.15.Mb – Density functional theory, local density approximation, gradient and other corrections / 73.22.Pr – Electronic structure of graphene
© EPLA, 2015
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