• 文献标题:   Spectrum of edge states in the nu=0 quantum Hall phases in graphene
  • 文献类型:   Article
  • 作  者:   PYATKOVSKIY PK, MIRANSKY VA
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   1098-0121 EI 1550-235X
  • 通讯作者地址:   Univ Western Ontario
  • 被引频次:   2
  • DOI:   10.1103/PhysRevB.90.195407
  • 出版年:   2014

▎ 摘  要

Edge excitations of the nu = 0 quantum Hall state in monolayer graphene are studied within the mean-field theory with different symmetry-breaking terms. The analytical expressions for the continuum (Dirac) model wave functions are obtained for the charge density wave, Kekule distortion, ferromagnetic, and (canted) antiferromagnetic phases. The dispersion equations for each phase and boundary type (zigzag and armchair) are derived, numerically solved, and compared to the results of the corresponding effective tight-binding model. The effect of the next-to-nearest neighbor hopping parameter on the edge state spectrum is studied and revealed to be essential. The criteria for the existence of gapless edge states are established for each phase and edge type.