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Multi-moir\'{e} trilayer graphene: lattice relaxation, electronic structure, and magic angles

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arxiv 2310.12961 v2 pith:TYIODRSN submitted 2023-10-19 cond-mat.str-el cond-mat.mes-hall

Charles Yang , Julian May-Mann , Ziyan Zhu , Trithep Devakul This is my paper · ORCID
classification cond-mat.str-elcond-mat.mes-hall
keywords angleselectronictwistgrapheneincommensuratelatticeleadmagic
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We systematically explore the structural and electronic properties of twisted trilayer graphene systems. In general, these systems are characterized by two twist angles, which lead to two incommensurate moir\'{e} periods. We show that lattice relaxation results in the formation of domains of periodic single-moir\'{e} structures only for twist angles close to the simplest fractions. For the majority of other twist angles, the incommensurate moir\'{e} periods lead to a quasicrystalline structure. We identify experimentally relevant magic angles at which the electronic density of states is sharply peaked and strongly correlated physics is most likely to be realized.

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  1. Fractional Chern mosaic in supermoir\'e graphene

    cond-mat.str-el 2024-11 conditional novelty 7.0 of 10

    Helical trilayer graphene with momentum-dependent tunneling is predicted to host a fractional Chern mosaic at filling 3+1/3: local fractional Chern insulators whose fractionalization pattern varies on the supermoiré scale.

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