Screening in graphene antidot lattices

Marco Haller Schultz, A. P. Jauho, T. G. Pedersen

    Research output: Contribution to journalJournal articleResearchpeer-review


    We compute the dynamical polarization function for a graphene antidot lattice in the random-phase approximation. The computed polarization functions display a much more complicated structure than what is found for pristine graphene (even when evaluated beyond the Dirac-cone approximation); this reflects the miniband structure and the associated van Hove singularities of the antidot lattice. The polarization functions depend on the azimuthal angle of the q vector. We develop approximations to ease the numerical work and critically evaluate the performance of the various schemes. We also compute the plasmon dispersion law and find an approximate square-root dependence with a suppressed plasmon frequency as compared to doped graphene. The plasmon dispersion is nearly isotropic and the developed approximation schemes agree well with the full calculation.
    Original languageEnglish
    JournalPhysical Review B Condensed Matter
    Issue number4
    Publication statusPublished - 2011


    • Physics
    • Transport
    • Junctions
    • Dynamics


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