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arXiv · 2502.17069

Proximity Effects Between the Graphene Quasicrystal and Magic-Angle Twisted Bilayer Graphene

Pedro Alcázar Guerrero·Viet-Hung Nguyen·Aron W. Cummings·Jean-Christophe Charlier·Stephan Roche
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Abstract

We present a numerical study of three-layer graphene heterostructures in which the layers are twisted by the magic angle ($\sim$1.1$^\circ$) or by $\sim$$30^\circ$ 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 $\sim$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.

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Pedro Alcázar Guerrero, Viet-Hung Nguyen, Aron W. Cummings, Jean-Christophe Charlier, Stephan Roche. 2025-02-24. Proximity Effects Between the Graphene Quasicrystal and Magic-Angle Twisted Bilayer Graphene. https://doi.org/10.1103/22s2-vpm5

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