• 文献标题:   Hofstadter butterflies of bilayer graphene
  • 文献类型:   Article
  • 作  者:   NEMEC N, CUNIBERTI G
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   1098-0121
  • 通讯作者地址:   Univ Regensburg
  • 被引频次:   53
  • DOI:   10.1103/PhysRevB.75.201404
  • 出版年:   2007

▎ 摘  要

We calculate the electronic spectrum of bilayer graphene in perpendicular magnetic fields nonperturbatively. To accommodate arbitrary displacements between the two layers, we apply a periodic gauge based on singular flux vortices of phase 2 pi. The resulting Hofstadter-like butterfly plots show a reduced symmetry, depending on the relative position of the two layers against each other. The split of the zero-energy relativistic Landau level differs by one order of magnitude between Bernal and non-Bernal stacking.