ar X iv : c on d - m at / 0 61 23 69 v 1 14 D ec 2 00 6 Hofstadter butterflies of bilayer graphene
نویسنده
چکیده
We calculate the electronic spectrum of bilayer graphene in perpendicular magnetic fields nonperturbatively. To accomodate arbitrary displacements between the two layers, we apply a periodic gauge based on singular flux vortices of phase 2π. 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 Bernaland non-Bernal stacking.
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