• 文献标题:   Topologically protected zero modes in twisted bilayer graphene
  • 文献类型:   Article
  • 作  者:   DE GAIL R, GOERBIG MO, GUINEA F, MONTAMBAUX G, NETO AHC
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   1098-0121
  • 通讯作者地址:   Univ Paris 11
  • 被引频次:   75
  • DOI:   10.1103/PhysRevB.84.045436
  • 出版年:   2011

▎ 摘  要

We show that a twisted graphene bilayer can reveal unusual topological properties at low energies, as a consequence of a Dirac-point splitting. These features rely on a symmetry analysis of the electron hopping between the two layers of graphene and we derive a simplified effective low-energy Hamiltonian which captures the essential topological properties of a twisted graphene bilayer. The corresponding Landau levels peculiarly reveal a degenerate zero-energy mode which cannot be lifted by strong magnetic fields.