Long-range interaction of anisotropic systems
PSE Division, King Abdullah University of Science and Technology - Thuwal 23955-6900, Saudi Arabia
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