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Title: The effects of the substrate surface roughness on graphene plasmons

We investigate the effects of variation in the gap size between mono-layer graphene and a substrate with a randomly rough surface on the linear response of graphene’s π electron bands within the approximation of Dirac fermions. We adopt the electrostatic Green’s function developed by Rahman and Maradudin [Phys. Rev. B 21, 2137–2143 (1980)] for the surface of a dielectric medium, which exhibits a Gaussian distributed height profile and combine it with the polarization function of graphene described as a zero-thickness planar layer at a fixed distance from the mean position of the substrate surface. We specifically consider the effects of a random gap size on the two-dimensional sheet plasmon mode in heavily doped graphene, both on its dispersion relation in the long-wavelength limit and its broadening due to Landau damping in the continuum of inter-band electron-hole excitations at shorter wavelengths.
Authors:
;  [1]
  1. Department of Applied Mathematics, University of Waterloo, 200 University Ave W, N2L 3G1, Waterloo, Ontario (Canada)
Publication Date:
OSTI Identifier:
22265927
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1590; Journal Issue: 1; Conference: International conference on electronic, photonic, plasmonic and magnetic properties of nanomaterials, London (Canada), 12-16 Aug 2013; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 77 NANOSCIENCE AND NANOTECHNOLOGY; APPROXIMATIONS; DISPERSION RELATIONS; DOPED MATERIALS; ELECTRONS; EXCITATION; FUNCTIONS; GRAPHENE; LANDAU DAMPING; PLASMONS; POLARIZATION; SUBSTRATES; SURFACES; WAVELENGTHS