Work

Chiral limit of twisted trilayer graphene

Year: 2025

Type: article

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.

Source: Nonlinearity

DOI: 10.1088/1361-6544/adca7f

Authors: Simon Becker, Tristan Humbert, Jens Wittsten, Mengxuan Yang

Institutions: ETH Zurich, Institute for Mathematical Research, École Normale Supérieure - PSL, Département de mathématiques et applications, University of Borås, University of California, Berkeley

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,325

Funders: National Science Foundation, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Vetenskapsrådet

Awards: Mathematical methods in magic moiré materials, G4430097687, Magic Moire Materials Meet Mathematical Methods, Inverse wave problems and wave propagation modeling, Spectral Theory and Microlocal Analysis

OpenAlex ID: W4409524785

FWCI: 1.604

Cites: 21

Cited by: 1

Related to: 10