Comparison of hydrodynamic and Dirac models of dispersion interaction between graphene and H,He∗, or Na atoms

Abstract

The van der Waals and Casimir-Polder interaction of different atoms with graphene is investigated using the Dirac model which assumes that the energy of quasiparticles is linear with respect to the momentum. The obtained results for the van der Waals coefficients of hydrogen atoms and molecules and atoms of metastable He * and Na as a function of separation are compared with respective results found using the hydrodynamic model of graphene. It is shown that, regardless of the value of the gap parameter, the Dirac model leads to much smaller values of the van der Waals coefficients than the hydrodynamic model. The experiment on quantum reflection of metastable He * and Na atoms on graphene is proposed which is capable to discriminate between the two models of the electronic structure of graphene. In this respect the parameters of the phenomenological potential for both these atoms interacting with graphene described by different models are determined.

The thermal Casimir–Polder interaction of an atom with a spherical plasma shell

“…The calculations performed in the Ref. [31] showed that the Casimir-Polder force calculated in framework the Dirac model is smaller then for hydrodynamic model. The paper is organized as follows.…”

“…Some calculations related with the Casimir and Casimir-Polder energies were made in the framework of this model in the Refs. [29,30,31]. The frequency spectrum in the hydrodynamic (plasma) model has quadratic form and the model is high-frequency approximation of the theory.…”

Numerical calculation of the Casimir-Polder interaction between a graphene sheet with vacancies and an atom

“…The Casimir-Polder energy of different atoms on single layer has been considered in Refs. [24,26]a n do nm u l t i l a y e rg r a p h e n ei nR e f . [ 29].…”

“…Intense theoretical effort has been devoted to the study of Casimir [11][12][13][14][15][16][17][18][19][20][21][22][23]andCasimir-Polder [23][24][25][26][27][28][29]interactionsingraphene and related systems [30,31]. The Casimir-Polder energy of different atoms on single layer has been considered in Refs.…”

Ab-<i>initio</i> studies of adsorbate-surface interactions

“…Not even the spatial dependence of the interlayer interaction has been firmly determined, an uncertainty that raises doubts concerning the vdW interactions in graphitic systems. 29,30 The are many measurements and simulations for geometric and electronic properties that have yielded results that differ by more than 40%. [3][4][5][6][7] Many of thse properties depends on the curvature of the interlayer binding energy curve.…”