2006/12/31 by Norbert Nemec, Gianaurelio Cuniberti · 4 citations
Materials Science · Mathematics · Physics and Astronomy · #Bilayer graphene #Condensed matter physics #Gauge (firearms) #Geometry #Graphene #Graphene research and applications #Landau quantization #Magnetic field #Magnetic flux #Materials science #Mathematics #Nuclear magnetic resonance #Perpendicular #Physics #Quantum and electron transport phenomena #Quantum mechanics #Stacking #Symmetry (geometry) #Topological Materials and Phenomena #Vortex #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.75.201404
published as Phys. Rev. B 75, 201404 (2007) · updated to refereed and edited version
openalex publication_date 2007/05/07 · arxiv created 2007/05/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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\ensuremathπ. 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.