Gauge field for edge state in graphene

Ken Ichi Sasaki, Shuichi Murakami, Riichiro Saito

Research output: Contribution to journalArticlepeer-review

122 Citations (Scopus)


By considering the continuous model for graphene, we analytically study a special gauge field for the edge state. The gauge field explains the properties of the edge state such as the existence only on the zigzag edge, the partial appearance in the k-space, and the energy position around the Fermi energy. It is demonstrated utilizing the gauge field that the edge state is robust for surface reconstruction, and the next nearest-neighbor interaction which breaks the particle-hole symmetry stabilizes the edge state.

Original languageEnglish
Article number074713
Journaljournal of the physical society of japan
Issue number7
Publication statusPublished - 2006 Jul


  • Edge state
  • Gauge field
  • Graphene
  • Next nearest-neighbor hopping
  • Particle-hole symmetry
  • Weyl equation

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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