English

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

Strongly Correlated Electrons 2023-10-31 v2 Mesoscale and Nanoscale Physics

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.

Keywords

Cite

@article{arxiv.2310.12961,
  title  = {Multi-moir\'{e} trilayer graphene: lattice relaxation, electronic structure, and magic angles},
  author = {Charles Yang and Julian May-Mann and Ziyan Zhu and Trithep Devakul},
  journal= {arXiv preprint arXiv:2310.12961},
  year   = {2023}
}

Comments

11+7 pages, 10 figures

R2 v1 2026-06-28T12:55:55.627Z