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

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.

Authors:
; ; ;  [1]
  1. Center of Theoretical Studies and Institute for Theoretical Physics, Leipzig University, Augustusplatz 10/11, D-04109 Leipzig (Germany)
Publication Date:
OSTI Identifier:
20853898
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. B, Condensed Matter and Materials Physics; Journal Volume: 74; Journal Issue: 20; Other Information: DOI: 10.1103/PhysRevB.74.205431; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Bordag, M., Geyer, B., Klimchitskaya, G. L., and Mostepanenko, V. M. Lifshitz-type formulas for graphene and single-wall carbon nanotubes: van der Waals and Casimir interactions. United States: N. p., 2006. Web. doi:10.1103/PHYSREVB.74.205431.
Bordag, M., Geyer, B., Klimchitskaya, G. L., & Mostepanenko, V. M. Lifshitz-type formulas for graphene and single-wall carbon nanotubes: van der Waals and Casimir interactions. United States. doi:10.1103/PHYSREVB.74.205431.
Bordag, M., Geyer, B., Klimchitskaya, G. L., and Mostepanenko, V. M. Wed . "Lifshitz-type formulas for graphene and single-wall carbon nanotubes: van der Waals and Casimir interactions". United States. doi:10.1103/PHYSREVB.74.205431.
@article{osti_20853898,
title = {Lifshitz-type formulas for graphene and single-wall carbon nanotubes: van der Waals and Casimir interactions},
author = {Bordag, M. and Geyer, B. and Klimchitskaya, G. L. and Mostepanenko, V. M.},
abstractNote = {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.},
doi = {10.1103/PHYSREVB.74.205431},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 20,
volume = 74,
place = {United States},
year = {Wed Nov 15 00:00:00 EST 2006},
month = {Wed Nov 15 00:00:00 EST 2006}
}