• 文献标题:   Edge states on graphene ribbons in magnetic field: Interplay between Dirac and ferromagnetic-like gaps
  • 文献类型:   Article
  • 作  者:   GUSYNIN VP, MIRANSKY VA, SHARAPOV SG, SHOVKOVY IA, WYENBERG CM
  • 作者关键词:   dirac equation, ferromagnetism, graphene, landau level, magnetic field effect, numerical analysi, quantum hall effect
  • 出版物名称:   PHYSICAL REVIEW B
  • ISSN:   2469-9950 EI 2469-9969
  • 通讯作者地址:   Bogolyubov Inst Theoret Phys
  • 被引频次:   32
  • DOI:   10.1103/PhysRevB.79.115431
  • 出版年:   2009

▎ 摘  要

By combining analytic and numerical methods, edge states on a finite width graphene ribbon in a magnetic field are studied in the framework of low-energy effective theory that takes into account the possibility of quantum Hall ferromagnetism gaps and dynamically generated Dirac-type masses. The analysis is done for graphene ribbons with both zigzag and armchair edges. The characteristic features of the spectrum of the edge states in both these cases are described. In particular, the conditions for the existence of the gapless edge states are established. Implications of these results for the interpretation of recent experiments are discussed.