Semiclassical quantization conditions in strained moiré lattices
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866917785547833344 |
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| author | Becker, Simon Wittsten, Jens |
| author_facet | Becker, Simon Wittsten, Jens |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_03349 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Semiclassical quantization conditions in strained moiré lattices Becker, Simon Wittsten, Jens Analysis of PDEs Strongly Correlated Electrons Mathematical Physics Spectral Theory Quantum Physics 81Q20 (Primary) 34L40 (secondary) 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. |
| title | Semiclassical quantization conditions in strained moiré lattices |
| topic | Analysis of PDEs Strongly Correlated Electrons Mathematical Physics Spectral Theory Quantum Physics 81Q20 (Primary) 34L40 (secondary) |
| url | https://arxiv.org/abs/2206.03349 |