# Angle-Dependent {\it Ab initio} Low-Energy Hamiltonians for a Relaxed Twisted Bilayer Graphene Heterostructure

@article{Fang2019AngleDependentA, title={Angle-Dependent \{\it Ab initio\} Low-Energy Hamiltonians for a Relaxed Twisted Bilayer Graphene Heterostructure}, author={Shiang Fang and Stephen Carr and Ziyan Zhu and Daniel Massatt and Efthimios Kaxiras}, journal={arXiv: Mesoscale and Nanoscale Physics}, year={2019} }

We present efficient angle-dependent low-energy Hamiltonians to describe the properties of the twisted bilayer graphene (tBLG) heterostructure, based on {\it ab initio} calculations of mechanical relxation and electronic structure. The angle-dependent relaxed atomic geometry is determined by continuum elasticity theory, which induces both in-plane and out-of-plane deformations in the stacked graphene layers. The electronic properties corresponding to the deformed geometry are derived from a…

## 17 Citations

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