Hofstadter butterflies of bilayer graphene

Details Hofstadter butterflies of bilayer graphene Hofstadter butterflies of bilayer graphene

2006-12-14

arxiv.org/abs/cond-mat/0612369v2

Phys. Rev. B 75, 201404 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

updated to refereed and edited version

Scientific paper

10.1103/PhysRevB.75.201404

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 $2\pi$. 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.

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