We present a numerical study of three-layer graphene heterostructures in which the layers are twisted by the magic angle (∼1.1∘) or by ∼30∘ to form a graphene quasicrystal. The heterostacks are described using realistic structural relaxations and tight-binding Hamiltonians, and their transport properties are computed for both pristine and disordered systems containing up to ∼8 million atoms. Owing to the weak interlayer coupling, we resolve the hybridization between magic-angle flat bands and quasicrystalline states, which are modified in distinct ways across low- and high-energy windows, revealing a new hybrid electronic regime to explore.
@article{arxiv.2502.17069,
title = {Proximity Effects Between the Graphene Quasicrystal and Magic-Angle Twisted Bilayer Graphene},
author = {Pedro Alcázar Guerrero and Viet-Hung Nguyen and Aron W. Cummings and Jean-Christophe Charlier and Stephan Roche},
journal= {arXiv preprint arXiv:2502.17069},
year = {2026}
}