• 文献标题:   Dirac cones for bi- and trilayer Bernal-stacked graphene in a quantum graph model
  • 文献类型:   Article
  • 作  者:   DE OLIVEIRA CR, ROCHA VL
  • 作者关键词:   bernalstacked graphene, spectral analysi, dirac cone, quantum graph model
  • 出版物名称:   JOURNAL OF PHYSICS AMATHEMATICAL THEORETICAL
  • ISSN:   1751-8113 EI 1751-8121
  • 通讯作者地址:   Univ Fed Sao Carlos
  • 被引频次:   0
  • DOI:   10.1088/1751-8121/abc6c1
  • 出版年:   2020

▎ 摘  要

A quantum graph model for a single sheet of graphene is extended to bilayer and trilayer Bernal-stacked graphene; the spectra are characterized and the dispersion relations explicitly obtained; Dirac cones are then proven to be present only for trilayer graphene, although the bilayer has a gapless parabolic band component. Our model rigorously exhibits basic facts from tight-binding calculations, effective two-dimensional models and a pi-orbital continuum model with nearest-neighbour tunnelling that have been discussed in the physics literature.