Commensuration and Interlayer Coherence in Twisted Bilayer Graphene

Details Commensuration and Interlayer Coherence in Twisted Bilayer Graphene Commensuration and Interlayer Coherence in Twisted Bilayer Graphene

2010-01-28

arxiv.org/abs/1001.5190v1

Phys. Rev. B 81, 161405(R) (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages RevTeX, 3 jpg figures

Scientific paper

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.

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