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

Cited by in corpus (33)

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• The Most General Form of Deformation of the Heisenberg Algebra from the Generalized Uncertainty Principle
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• Weak Coupling Casimir Energies for Finite Plate Configurations
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• Non-Local Deformation of a Supersymmetric Field Theory
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