Splitting of the quantum Hall transition in disordered graphenes

Mikito Koshino, Tsuneya Ando

Research output: Contribution to journalArticlepeer-review

44 Citations (Scopus)

Abstract

Integer quantum Hall effect is studied for a noninteracting electron in a monolayer graphene. We calculate the Hall conductivity within a single Landau level in the presence of randomness in the bond couplings and in the on-site potential, and estimate the critical energies for the quantum Hall transition. We show that valley-degenerated (K and K′ points) Landau levels contain two displaced critical energies indicating that an extra Hall plateau appears inside, while the localization is found to be much stronger in the Landau level N=0 than in N=1.

Original languageEnglish
Article number033412
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume75
Issue number3
DOIs
Publication statusPublished - 2007

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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