Landau level spectra and the quantum Hall effect of multilayer graphene

Mikito Koshino, Edward McCann

Research output: Contribution to journalArticlepeer-review

68 Citations (Scopus)

Abstract

The Landau level spectra and the quantum Hall effect of ABA-stacked multilayer graphenes are studied in the effective-mass approximation. The low-energy effective-mass Hamiltonian may be partially diagonalized into an approximate block-diagonal form, with each diagonal block contributing parabolic bands except for an additional block describing Dirac-like bands with a linear dispersion in a multilayer with an odd number of layers. We fully include the band parameters and, taking into account the symmetry of the lattice, we analyze their effect on the block-diagonal Hamiltonian. Next-nearest-layer couplings are shown to be particularly important in determining the low-energy spectrum and the phase diagram of the quantum Hall conductivity by causing energy shifts, level anticrossings, and valley splitting of the low-lying Landau levels.

Original languageEnglish
Article number165443
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume83
Issue number16
DOIs
Publication statusPublished - 2011 Apr 27

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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