• 文献标题:   Edge states in bilayer graphene in a magnetic field
  • 文献类型:   Article
  • 作  者:   PYATKOVSKIY PK
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   2469-9950 EI 2469-9969
  • 通讯作者地址:   Univ Western Ontario
  • 被引频次:   2
  • DOI:   10.1103/PhysRevB.88.205417
  • 出版年:   2013

▎ 摘  要

Edge states in biased bilayer graphene in a magnetic field are studied within the four-band continuum model. The analysis is done for the semi-infinite graphene plane and for the graphene ribbon of a finite width, in the cases of zigzag and armchair edges. Exact dispersion equations for the edge states and analytic expressions for their wave functions are written in terms of the parabolic cylinder functions. The spectrum of edge states for each type of the boundary conditions is found by numerically solving the corresponding dispersion equations. The low-energy modes localized at zigzag edges are explored in detail.