Hofstadter butterflies of bilayer graphene
arXiv:cond-mat/0612369 · doi:10.1103/PhysRevB.75.201404
Abstract
We calculate the electronic spectrum of bilayer graphene in perpendicular magnetic fields nonperturbatively. To accommodate arbitrary displacements between the two layers, we apply a periodic gauge based on singular flux vortices of phase . The resulting Hofstadter-like butterfly plots show a reduced symmetry, depending on the relative position of the two layers against each other. The split of the zero-energy relativistic Landau level differs by one order of magnitude between Bernal and non-Bernal stacking.
arXiv commentupdated to refereed and edited version
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