Magnetism as a mass term of the edge states in graphene

Ken Ichi Sasaki, Riichiro Saito

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


The magnetism by the edge states in graphene is investigated theoretically. An instability of the pseudo-spin order of the edge states induces ferrimagnetic order in the presence of the Coulomb interaction. Although the next nearest-neighbor hopping can stabilize the pseudo-spin order, a strong Coulomb interaction makes the pseudo-spin unpolarized and real spin polarized. The magnetism of the edge states makes two peaks of the density of states in the conduction and valence energy bands near the Fermi point. Using a continuous model of the Weyl equation, we show that the edge-induced gauge field and the spin dependent mass terms are keys to make the magnetism of the edge states. A relationship between the magnetism of the edge states and the parity anomaly is discussed.

Original languageEnglish
Article number054703
Journaljournal of the physical society of japan
Issue number5
Publication statusPublished - 2008 May 1


  • Coulomb interaction
  • Edge state
  • Gauge field
  • Graphene
  • Magnetism
  • Mass term
  • Parity anomaly
  • Weyl equation

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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