Dynamical polarization, screening, and plasmons in gapped graphene

dc.creatorPyatkovskiy, P. K.
dc.date2008-08-06
dc.date2008-12-12
dc.date.accessioned2026-07-07T12:11:50Z
dc.date.available2026-07-07T12:11:50Z
dc.descriptionThe one-loop polarization function of graphene has been calculated at zero temperature for arbitrary wavevector, frequency, chemical potential (doping), and band gap. The result is expressed in terms of elementary functions and is used to find the dispersion of the plasmon mode and the static screening within the random phase approximation. At long wavelengths the usual square root behaviour of plasmon spectra for two-dimensional (2D) systems is obtained. The presence of a small (compared to a chemical potential) gap leads to the appearance of a new undamped plasmon mode. At greater values of the gap this mode merges with the long-wavelength one, and vanishes when the Fermi level enters the gap. The screening of charged impurities at large distances differs from that in gapless graphene by slower decay of Friedel oscillations ($1/r^2$ instead of $1/r^3$), similarly to conventional 2D systems.
dc.description8 pages, 8 figures, v2: to match published version
dc.identifierhttps://arxiv.org/abs/0808.0931
dc.identifierhttp://arxiv.org/abs/0808.0931
dc.identifierJ. Phys.: Condens. Matter 21, 025506 (2009)
dc.identifierdoi:10.1088/0953-8984/21/2/025506
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/210347
dc.subjectStrongly Correlated Electrons
dc.titleDynamical polarization, screening, and plasmons in gapped graphene
dc.typetext

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