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

Journal Article · Wed Nov 15 00:00:00 EST 2006 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.74.205431· OSTI ID:20853898

Bordag, M; Geyer, B; Klimchitskaya, G L; Mostepanenko, V M ^[1]

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1. Center of Theoretical Studies and Institute for Theoretical Physics, Leipzig University, Augustusplatz 10/11, D-04109 Leipzig (Germany)

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.

• OSTI ID: 20853898
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Vol. 74, Issue 20; Other Information: DOI: 10.1103/PhysRevB.74.205431; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ATOMS
BOUNDARY CONDITIONS
CASIMIR EFFECT
CHARGE DENSITY
ELECTROMAGNETIC RADIATION
ELECTRON GAS
GRAPHITE
HYDROGEN
MOLECULES
NANOTUBES
OSCILLATIONS
PLASMA SHEET
REFLECTION
SURFACES
TWO-DIMENSIONAL CALCULATIONS
VAN DER WAALS FORCES