Chiral limit of twisted trilayer graphene
Mathematical Physics
2023-08-22 v1 Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Analysis of PDEs
math.MP
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 tunnelling parameters that lead to flat bands are nowhere continuous as functions of the twisting angles.
Keywords
Cite
@article{arxiv.2308.10859,
title = {Chiral limit of twisted trilayer graphene},
author = {Simon Becker and Tristan Humbert and Jens Wittsten and Mengxuan Yang},
journal= {arXiv preprint arXiv:2308.10859},
year = {2023}
}