Commensuration and interlayer coherence in twisted bilayer graphene
By E. Mele. 2010
365 citations recorded by the source corpus.
The low energy electronic spectra of rotationally faulted graphene bilayers are studied using a long wavelength theory applicable to general commensurate fault angles. Lattice commensuration requires low energy electronic coherence across a fault and preempts massless Dirac behavior near the neutrality point. Sublattice exchange symmetry distinguishes two families of commensurate faults that have distinct low energy spectra which can be interpreted as energy-renormalized forms of the spectra for the limiting Bernal and AA stacked structures. Sublattice-symmetric faults are generically fully gapped systems due to a pseudospin-orbit coupling appearing in their effective low energy Hamiltonians.
Subfields: Biomedical Engineering, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/e11562784953a17991576ac9b8311748d1ab7a98
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Citations in the corpus
- Band structure of twisted bilayer graphene: Emergent symmetries, commensurate approximants, and Wannier obstructions (2018, background): “The content of this section has all been discussed in existing literature [34, 39, 40]; here, we simply review these results in an attempt to clarify some potential confusions which arose in light of the recent interest of TBG.”
- Symmetry, Maximally Localized Wannier States, and a Low-Energy Model for Twisted Bilayer Graphene Narrow Bands (2018, background): “Whenm − n 1⁄4 1 mod 3 [19] at theK point, two bands form a Dirac cone, and the remaining two bands are split by a tiny gap (< 0.”
- Raman Spectroscopy in Graphene-Based Systems: Prototypes for Nanoscience and Nanometrology (2012, neutral): “Superlattice graphene structures can be generated in bilayer graphene, by inducing a mismatch angle θ between the top and bottom layers [62–66] (see the left part of Figure 6).”