English

Extended magic phase in twisted graphene multilayers

Strongly Correlated Electrons 2024-03-20 v2 Mesoscale and Nanoscale Physics

Abstract

Theoretical and experimental studies have verified the existence of ``magic angles'' in twisted bilayer graphene, where the twist between layers gives rise to flat bands and consequently highly correlated phases. Narrow bands can also exist in multilayers with alternating twist angles, and recent theoretical work suggests that they can also be found in trilayers with twist angles between neighboring layers in the same direction. We show here that flat bands exist in a variety of multilayers where the ratio between twist angles is close to coprime integers. We generalize previous analyses, and, using the chiral limit for interlayer coupling, give examples of many combinations of twist angles in stacks made up of three and four layers which lead to flat bands. The technique we use can be extended to systems with many layers. Our results suggest that flat bands can exist in graphene multilayers with angle disorder, that is, narrow samples of turbostatic graphite.

Keywords

Cite

@article{arxiv.2305.18080,
  title  = {Extended magic phase in twisted graphene multilayers},
  author = {D. C. W. Foo and Z. Zhan and Mohammed M. Al Ezzi and L. Peng and S. Adam and F. Guinea},
  journal= {arXiv preprint arXiv:2305.18080},
  year   = {2024}
}

Comments

Main text: 4 pages, 4 figures -- Supplementary Material: 15 pages, 13 figures

R2 v1 2026-06-28T10:49:14.436Z