Stacking-dependent magnetoelectronic properties in multilayer graphene

The generalized Peierls tight-binding model is developed to study multilayer graphenes. For an N-layer system, there are N groups of conduction and valence Landau levels. Each group is clearly specified by the corresponding sublattice. The Landau-level spectra strongly depend on the stacking configuration. ABC-stacked graphenes exhibit two kinds of Landau-level anticrossings, the intergroup and intragroup Landau levels, as a function of the applied magnetic field. On the other hand, in contrast to its frequent wide-energy presence in ABC-stacked graphenes, the anticrossing only occurs occasionally in AB-stacked graphenes, and is absent in AA-stacked graphenes. Furthermore, all 4N Dirac-point related Landau levels are distributed over a limited energy range near the Fermi level. In AA- and AB-stacked graphenes, the total number of such levels is fixed, while their energies depend on the stacking configuration. These results reflect the main features of the zero-field band structures.