• 文献标题:   Analytical Calculations on Low-Frequency Excitations in AA-Stacked Bilayer Graphene
  • 文献类型:   Article
  • 作  者:   CHUANG YC, WU JY, LIN MF
  • 作者关键词:   plasmon, bilayer graphene, interlayer atomic interaction, tightbinding model, randomphase approximation
  • 出版物名称:   JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
  • ISSN:   0031-9015
  • 通讯作者地址:   Natl Cheng Kung Univ
  • 被引频次:   0
  • DOI:   10.1143/JPSJ.81.124713
  • 出版年:   2012

▎ 摘  要

The bare response functions and the dielectric function tensor in AA-stacked bilayer graphene are investigated analytically within the tight-binding model and the random-phase approximation. They are dominated by the interlayer atomic interactions. The main features of the single-particle excitations are associated with the Fermi-momentum states. The intralayer and interlayer polarization functions possess two kinds of simple relations, which correspond to the electronic excitations between different-pair and same-pair linear energy bands, respectively. There exist optical and acoustic plasmons. At long wavelengths, the plasmon frequencies show a different dependence on the transferred momentum. These frequency dispersions calculated from the vanishing real-part determinant of the dielectric function tensor are consistent with those obtained from the numerical loss functions. The analytical response functions are useful in understanding other many-body effects.