Magnetic Breakdown in Twisted Bilayer Graphene
arXiv:1308.1962 · doi:10.1103/PhysRevB.89.085408
Abstract
We consider magnetic breakdown in twisted bilayer graphene where electrons may hop between semiclassical -space trajectories in different layers. These trajectories within a doubled Brillouin zone constitute a network in which an -matrix at each saddle point is used to model tunneling between different layers. Matching of the semiclassical wavefunctions throughout the network determines the energy spectrum. Semiclassical orbits with energies well below that of the saddle points are Landau levels of the Dirac points in each layer. These continuously evolve into {\it both} electron-like and hole-like levels above the saddle point energy. Possible experimental signatures are discussed.
5 pages of main text plus Supplementary Material
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Cited by in corpus (12)
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- Twisting Dirac fermions: Circular dichroism in bilayer graphene
- Floquet-Engineered Topological Flat Bands in Irradiated Twisted Bilayer Graphene
- Moiré lattice effects on the orbital magnetic response of twisted bilayer graphene and Condon instability
- de Haas-van Alphen spectroscopy and fractional quantization of magnetic-breakdown orbits in moiré graphene
- Dirac Magic and Lifshitz Transitions in AA-Stacked Twisted Multilayer Graphene
- In-plane Chiral Tunneling and Out-of-plane Valley-polarized Quantum Tunneling in Twisted Graphene Trilayer
- Exceptional magic angles in non-Hermitian twisted bilayer graphene
- Probing Layer Localization in Twisted Graphene Bilayers via Cyclotron Resonance
- Friedel oscillation near a van Hove singularity in two-dimensional Dirac materials
- Landau quantization near generalized Van Hove singularities: Magnetic breakdown and orbit networks
- Effective-mass theory of collapsed carbon nanotubes