Lifshitz-type formulas for graphene and single-wall carbon nanotubes: van der Waals and Casimir interations

Abstract

Lifshitz-type formulas are obtained for the van der Waals and Casimir interaction between graphene and a material plate, graphene and an atom or a molecule, and between a single-wall carbon nanotube and a plate. The reflection properties of electromagnetic oscillations on graphene are governed by the specific boundary conditions imposed on the infinitely thin positively charged plasma sheet, carrying a continuous fluid with some mass and charge density. The obtained formulas are applied to graphene interacting with Au and Si plates, to hydrogen atoms and molecules interacting with graphene, and to single-wall carbon nanotubes interacting with Au and Si plates. The generalizations to more complicated carbon nanostructures are discussed.

11 pages, 5 figures, 2 tables; to appear in Phys. Rev. B; misprints in Eqs.(33) and (34) are corrected

References in corpus (4)

• Effect of the Casimir-Polder force on the collective oscillations of a trapped Bose-Einstein condensate
• The Casimir effect for a sphere and a cylinder in front of plane and corrections to the proximity force theorem
• Experimental test for the conductivity properties from the Casimir force between metal and semiconductor
• Casimir-Polder interaction between an atom and a cavity wall under the influence of real conditions

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• Generalized Lifshitz formula for a cylindrical plasma sheet in front of a plane beyond proximity force approximation
• Thermal correction to the Casimir force, radiative heat transfer, and an experiment
• Fermionic condensate and Casimir densities in the presence of compact dimensions with applications to nanotubes
• Van der Waals and Casimir interactions between atoms and carbon nanotubes
• Orientation-dependent Casimir force arising from highly anisotropic crystals: application to Bi2Sr2CaCu2O8+delta
• On the interaction of a charge with a thin plasma sheet
• Modification of energy shifts of atoms by the presence of a boundary in a thermal bath and the Casimir-Polder force
• Weak Coupling Casimir Energies for Finite Plate Configurations
• Divergences in the vacuum energy for frequency-dependent interactions
• Van der Waals interaction between an atom with spherical plasma shell