• 文献标题:   Edge states, mass and spin gaps, and quantum Hall effect in graphene
  • 文献类型:   Article
  • 作  者:   GUSYNIN VP, MIRANSKY VA, SHARAPOV SG, SHOVKOVY IA
  • 作者关键词:  
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   1098-0121
  • 通讯作者地址:   Bogolyubov Inst Theoret Phys
  • 被引频次:   43
  • DOI:   10.1103/PhysRevB.77.205409
  • 出版年:   2008

▎ 摘  要

Motivated by recent experiments and a theoretical analysis of the gap equation for the propagator of Dirac quasiparticles, we assume that the physics underlying the recently observed removal of sublattice and spin degeneracies in graphene in a strong magnetic field is connected with the generation of both Dirac masses and spin gaps. The consequences of such a scenario for the existence of the gapless edge states with zigzag and armchair boundary conditions are discussed. In the case of graphene on a half-plane With a zigzag edge, there are gapless edge states in the spectrum only when the spin gap dominates over the mass gap. In the case of an armchair edge, however, the existence of the gapless edge states depends on the specific type of mass gaps.