Robust flat bands in twisted trilayer graphene moiré quasicrystals

Chen-Yue Hao, Zhen Zhan (), Pierre A. Pantaleón, Jia-Qi He, Ya-Xin Zhao, Kenji Watanabe, Takashi Taniguchi, Francisco Guinea and Lin He ()
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Chen-Yue Hao: Beijing Normal University
Zhen Zhan: IMDEA Nanoscience
Pierre A. Pantaleón: IMDEA Nanoscience
Jia-Qi He: Beijing Normal University
Ya-Xin Zhao: Beijing Normal University
Kenji Watanabe: National Institute for Materials Science
Takashi Taniguchi: National Institute for Materials Science
Francisco Guinea: IMDEA Nanoscience
Lin He: Beijing Normal University

Nature Communications, 2024, vol. 15, issue 1, 1-9

Abstract: Abstract Moiré structures formed by twisting three layers of graphene with two independent twist angles present an ideal platform for studying correlated quantum phenomena, as an infinite set of angle pairs is predicted to exhibit flat bands. Moreover, the two mutually incommensurate moiré patterns among the twisted trilayer graphene (TTG) can form highly tunable moiré quasicrystals. This enables us to extend correlated physics in periodic moiré crystals to quasiperiodic systems. However, direct local characterization of the structure of the moiré quasicrystals and of the resulting flat bands are still lacking, which is crucial to fundamental understanding and control of the correlated moiré physics. Here, we demonstrate the existence of flat bands in a series of TTGs with various twist angle pairs and show that the TTGs with different magic angle pairs are strikingly dissimilar in their atomic and electronic structures. The lattice relaxation and the interference between moiré patterns are highly dependent on the twist angles. Our direct spatial mappings, supported by theoretical calculations, reveal that the localization of the flat bands exhibits distinct symmetries in different regions of the moiré quasicrystals.

Date: 2024
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DOI: 10.1038/s41467-024-52784-7

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