Chiral limit of twisted trilayer graphene
Abstract We initiate the mathematical study of the Bistritzer–MacDonald Hamiltonian for twisted trilayer graphene in the chiral limit (and beyond). We develop a spectral theoretic approach to investigate the presence of flat bands under specific magic parameters. This allows us to derive trace formulae that show that the tunneling parameters that lead to flat bands are nowhere continuous as functions of the twisting angles.
Authors
- Simon Becker (ORCID: https://orcid.org/0000-0002-6703-9511)
- Tristan Humbert
- Jens Wittsten (ORCID: https://orcid.org/0000-0002-0905-6188)
- Mengxuan Yang
Institutions
- ETH Zurich (CH)
- Institute for Biomedical Engineering (CH)
- Département de mathématiques et applications (FR)
- University of California, Berkeley (US)
- University of Borås (SE)
Publication Details
- Journal
- Nonlinearity
- Published
- 2025-04-17
- DOI
- https://doi.org/10.1088/1361-6544/adca7f
- Primary Topic
- Graphene research and applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
- Vetenskapsrådet