• 文献标题:   Screening in graphene antidot lattices
  • 文献类型:   Article
  • 作  者:   SCHULTZ MH, JAUHO AP, PEDERSEN TG
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   1098-0121
  • 通讯作者地址:   Tech Univ Denmark
  • 被引频次:   11
  • DOI:   10.1103/PhysRevB.84.045428
  • 出版年:   2011

▎ 摘  要

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.