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arXiv · 1104.0794

Landau level spectra and the quantum Hall effect of multilayer graphene

Mikito Koshino·Edward McCann
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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, 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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Mikito Koshino, Edward McCann. 2011-05-02. Landau level spectra and the quantum Hall effect of multilayer graphene. https://doi.org/10.1103/physrevb.83.165443

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