Landau level spectra and the quantum Hall effect of multilayer graphene

Details Landau level spectra and the quantum Hall effect of multilayer graphene Landau level spectra and the quantum Hall effect of multilayer graphene

2011-04-05

arxiv.org/abs/1104.0794v2

Phys. Rev. B 83, 165443 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 4 figures

Scientific paper

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, in a multilayer with an odd number of layers, for an additional block describing Dirac-like bands with a linear dispersion. We fully include the band parameters and, taking into account the symmetry of the lattice, we analyze their affect 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 anti-crossings, and valley splitting of the low-lying Landau levels.

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