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arXiv · 2310.12961

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

Charles Yang·Julian May-Mann·Ziyan Zhu·Trithep Devakul
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Abstract

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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Charles Yang, Julian May-Mann, Ziyan Zhu, Trithep Devakul. 2023-10-19. Multi-moir\'{e} trilayer graphene: lattice relaxation, electronic structure, and magic angles. https://arxiv.org/abs/2310.12961

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