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