Dispersion Interaction of Atoms with Single-Walled Carbon Nanotubes described by the Dirac Model

Abstract

We calculate the interaction energy and force between atoms and molecules and single-walled carbon nanotubes described by the Dirac model of graphene. For this purpose the Lifshitz-type formulas adapted for the case of cylindrical geometry with the help of the proximity force approximation are used. The results obtained are compared with those derived from the hydrodymanic model of graphene. Numerical computations are performed for hydrogen atoms and molecules. It is shown that the Dirac model leads to larger values of the van der Waals force than the hydrodynamic model. For a hydrogen molecule the interaction energy and force computed using both models are larger than for a hydrogen atom.

9 pages, 3 figures, to appear in Int. J. Mod. Phys. A

References in corpus (8)

• The electronic properties of graphene
• Casimir interaction between a perfect conductor and graphene described by the Dirac model
• The Casimir effect for a sphere and a cylinder in front of plane and corrections to the proximity force theorem
• Lifshitz-type formulas for graphene and single-wall carbon nanotubes: van der Waals and Casimir interations
• Casimir-Polder interaction between an atom and a cavity wall under the influence of real conditions
• Van der Waals interaction between a microparticle and a single-wall carbon nanotube
• Comparison of the hydrodynamic and Dirac models of the dispersion interaction between graphene and H, He${}^{\ast }$, or Na atoms
• Exact Casimir-Polder potential between a particle and an ideal metal cylindrical shell and the proximity force approximation

Cited by in corpus (1)

• Dispersion coefficients for the interactions of the alkali and alkaline-earth ions and inert gas atoms with a graphene layer