• 文献标题:   The recurrent relations for the electronic band structure of the multilayer graphene
  • 文献类型:   Article
  • 作  者:   DAVYDOV VN
  • 作者关键词:   graphene, tightbinding approximation, electronic structure, dirac point, multilayer graphene, flat electronic band
  • 出版物名称:   PROCEEDINGS OF THE ROYAL SOCIETY AMATHEMATICAL PHYSICAL ENGINEERING SCIENCES
  • ISSN:   1364-5021 EI 1471-2946
  • 通讯作者地址:   Moscow MV Lomonosov State Univ
  • 被引频次:   1
  • DOI:   10.1098/rspa.2018.0439
  • 出版年:   2018

▎ 摘  要

The structure of the electronic energy bands for stacked multilayer graphene is developed using the tight-binding approximation (TBA). The spectra of the Dirac electrons are investigated in vicinity of the Brillouin zone minima. The electron energy dependence on quasi- momentum is established for an arbitrary number of the graphene layers for multilayer graphene having even number of layers N = 2n, (n = 2, 3, 4,...) with the Bernal stacking ABAB... AB; or for odd number of layers N = 2n + 1, (n = 1, 2, 3,...) with stacking ABAB... A. It is shown that four non-degenerate energy branches of the electronic energy spectrum are present for any number of layers. Degeneracy is considered of graphene-like energy branches with linear dispersion law. Dependences of such branches number and their degeneracy are found on number of layers. The recurrent relations are obtained for the electronic band structure of the stacked ABA..., ABC... and AAA... multilayer graphene. The flat electronic bands are obtained for ABC-stacked multilayer graphene near the K-point at the Fermi level. Such an approach may be useful in the study of multivariousaspects of graphene's physics and nanotechnologies. Also paper gives new hints for deeper studies of graphite intercalation compounds.