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arXiv · 1909.01545

General continuum model for twisted bilayer graphene and arbitrary smooth deformations

Leon Balents
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Abstract

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 grapheneas well as many generalizations and extensions of it. The derivation is carried out entirely in real space.

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Leon Balents. 2019-09-04. General continuum model for twisted bilayer graphene and arbitrary smooth deformations. https://doi.org/10.21468/scipostphys.7.4.048

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