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General continuum model for twisted bilayer graphene and arbitrary smooth deformations

Leon Balents

SciPost Phys. 7, 048 (2019) · published 10 October 2019


We present a simple derivation of a continuum Hamiltonian for bilayer graphene with an arbitrary smooth lattice deformation -- technically in a fashion parametrized by displacement fields with small gradients. We show that this subsumes the continuum model of Bistritzer and Macdonald for twisted bilayer graphene as well as many generalizations and extensions of it. The derivation is carried out entirely in real space.

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