paper

Semiclassical quantization conditions in strained moiré lattices

arXiv:2206.03349 · doi:10.1007/s00220-024-05039-x

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 moiré heterostructures such as strained two-dimensional honeycomb lattices in a model recently introduced by Timmel and Mele.

arXiv comment54 pages, 7 figures. Updated introduction and acknowledgments. Fixed typos, and improved and clarified the presentation

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