Semiclassical Quantization Conditions in Strained Moiré Lattices

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 str...

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Bibliographic Details
Published in:Communications in mathematical physics 2024-09, Vol.405 (9), Article 218
Main Authors: Becker, Simon, Wittsten, Jens
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Complex Systems
Eigenvalues
Heterostructures
Lattices
Mathematical and Computational Physics
Mathematical Physics
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Symbols
Theoretical
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Summary: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.
ISSN:0010-3616
1432-0916
DOI:10.1007/s00220-024-05039-x