Semiclassical quantization conditions in strained moir\'e lattices
Analysis of PDEs
2024-09-26 v4 Strongly Correlated Electrons
Mathematical Physics
math.MP
Spectral Theory
Quantum Physics
Abstract
In this article we generalize the Bohr-Sommerfeld rule for scalar symbols at a potential well to matrix-valued symbols having eigenvalues that may coalesce precisely at the bottom of the well. As an application, we study the existence of approximately flat bands in moir\'e heterostructures such as strained two-dimensional honeycomb lattices in a model recently introduced by Timmel and Mele.
Cite
@article{arxiv.2206.03349,
title = {Semiclassical quantization conditions in strained moir\'e lattices},
author = {Simon Becker and Jens Wittsten},
journal= {arXiv preprint arXiv:2206.03349},
year = {2024}
}
Comments
54 pages, 7 figures. Updated introduction and acknowledgments. Fixed typos, and improved and clarified the presentation