Proximity effects between a graphene quasicrystal and magic-angle twisted bilayer graphene

Guerrero, Pedro Alcazar;Nguyen, Viet-Hung;Cummings, Aron W.;Charlier, Jean-Christophe;Roche, Stephan
(2025) Physical Review B — Vol. 112, n° 21, p. 214202 (2025)

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Authors
  • Guerrero, Pedro AlcazarCatalan Institute of Nanoscience and Nanotechnology (ICN2), CSIC and BIST, Campus UAB, Bellaterra, 08193 Barcelona, Spain
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  • Nguyen, Viet-Hungorcid-logoUCLouvain
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  • Cummings, Aron W.orcid-logoCatalan Institute of Nanoscience and Nanotechnology (ICN2), CSIC and BIST, Campus UAB, Bellaterra, 08193 Barcelona, Spain
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  • Charlier, Jean-Christopheorcid-logoUCLouvain
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  • Roche, Stephanorcid-logoCatalan Institute of Nanoscience and Nanotechnology (ICN2), CSIC and BIST, Campus UAB, Bellaterra, 08193 Barcelona, Spain
    Author
Abstract
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 different hybrid electronic regime to explore.
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Guerrero, P. A., Nguyen, V.-H., Cummings, A. W., Charlier, J.-C., & Roche, S. (2025). Proximity effects between a graphene quasicrystal and magic-angle twisted bilayer graphene. Physical Review B, 112(21), 214202. https://doi.org/10.1103/22s2-vpm5 (Original work published 2025)