Landau Quantization in Twisted Bilayer Graphenes: the Dirac Comb
arXiv:1106.0204 · doi:10.1103/PhysRevB.84.161406
Abstract
We study the Landau quantization of the electronic spectrum for graphene bilayers that are rotationally faulted to produce periodic superlattices. Commensurate twisted bilayers exist in two families distinguished by their sublattice exchange parity. We show that these two families exhibit distinct Landau quantized spectra distinguished both by the interlayer coupling of their zero modes and by an amplitude modulation of their spectra at energies above their low energy interlayer coherence scales. These modulations can provide a powerful experimental probe of the magnitude of a weak coherence splitting in a bilayer and its low energy mass structure.
4 pages, 3 figures
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- Ab-Initio Theory of Moiré Superlattice Bands in Layered Two-Dimensional Materials
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- Proximity effect in graphene-topological insulator heterostructures
- Interlayer coupling in rotationally faulted multilayer graphenes
- Bilayer graphene with parallel magnetic field and twisting: Phases and phase transitions in a highly tunable Dirac system
- Revealing Hofstadter Spectrum for Graphene in a Periodic Potential
- Theory of Emergent Josephson Lattice in Neutral Twisted Bilayer Graphene (Moiŕe is Different)
- Transport evidence of superlattice Dirac cones in graphene monolayer on twisted boron nitride substrate
- Exciton swapping in a twisted graphene bilayer as a solid-state realization of a two-brane model
- Optical Properties of Graphene in Magnetic and Electric fields
- Topological phase diagram of twisted bilayer graphene as a function of the twist angle