Journal article ยท Preprint article
Screening in graphene antidot lattices
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.
Language: | English |
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Year: | 2011 |
ISSN: | 10953795 , 1550235x , 01631829 and 10980121 |
Types: | Journal article and Preprint article |
DOI: | 10.1103/PhysRevB.84.045428 |