Continuum models for twisted bilayer graphene: Effect of lattice deformation and hopping parameters

@article{Guinea2019ContinuumMF,
  title={Continuum models for twisted bilayer graphene: Effect of lattice deformation and hopping parameters},
  author={Francisco Guinea and Niels R. Walet},
  journal={Physical Review B},
  year={2019}
}
We analyze a description of twisted graphene bilayers, that incorporates deformation of the layers due to the nature modern interlayer potentials, and a modification of the hopping parameters between layers in the light of the classic Slonczewski-Weiss-McClure parametrisation. We shall show that flat bands result in all cases, but that their nature can be rather different. We will show how to construct a more general reduction to a continuum model, and show that even though such a model can be… 
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