• 文献标题:   Dirac boundary condition at the reconstructed zigzag edge of graphene
  • 文献类型:   Article
  • 作  者:   VAN OSTAAY JAM, AKHMEROV AR, BEENAKKER CWJ, WIMMER M
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   1098-0121
  • 通讯作者地址:   Leiden Univ
  • 被引频次:   34
  • DOI:   10.1103/PhysRevB.84.195434
  • 出版年:   2011

▎ 摘  要

Edge reconstruction modifies the electronic properties of finite graphene samples. We formulate a low-energy theory of the reconstructed zigzag edge by deriving the modified boundary condition to the Dirac equation. If the unit-cell size of the reconstructed edge is not a multiple of three with respect to the zigzag unit cell, valleys remain uncoupled and the edge reconstruction is accounted for by a single angular parameter (sic). Dispersive edge states exist generically, unless vertical bar(sic)vertical bar = pi/2. We compute (sic) from a microscopic model for the "reczag" reconstruction (conversion of two hexagons into a pentagon-heptagon pair), and show that it can be measured via the local density of states. In a magnetic field, there appear three distinct edge modes in the lowest Landau level, two of which are counterpropagating.