Spectral properties of hexagonal lattices with the -R coupling
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866912016197746688 |
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| author | Exner, Pavel Pekař, Jan |
| author_facet | Exner, Pavel Pekař, Jan |
| contents | We analyze the spectrum of the hexagonal lattice graph with a vertex coupling which manifestly violates the time reversal invariance and at high energies it asymptotically decouples edges at even degree vertices; a comparison is made to the case when such a decoupling occurs at odd degree vertices. We also show that the spectral character does not change if the equilateral elementary cell of the lattice is dilated to have three different edge lengths, except that flat bands are absent if those are incommensurate. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_03538 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spectral properties of hexagonal lattices with the -R coupling Exner, Pavel Pekař, Jan Mathematical Physics Spectral Theory Quantum Physics We analyze the spectrum of the hexagonal lattice graph with a vertex coupling which manifestly violates the time reversal invariance and at high energies it asymptotically decouples edges at even degree vertices; a comparison is made to the case when such a decoupling occurs at odd degree vertices. We also show that the spectral character does not change if the equilateral elementary cell of the lattice is dilated to have three different edge lengths, except that flat bands are absent if those are incommensurate. |
| title | Spectral properties of hexagonal lattices with the -R coupling |
| topic | Mathematical Physics Spectral Theory Quantum Physics |
| url | https://arxiv.org/abs/2409.03538 |