Rare Flat Bands for Periodic Graph Operators
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917968308338688 |
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| author | Faust, Matthew Liu, Wencai |
| author_facet | Faust, Matthew Liu, Wencai |
| contents | As a corollary of our main results, we prove that for any connected $\mathbb{Z}^d$-periodic graph, when edge weights and potentials are treated as variables, the corresponding periodic graph operators generically (i.e., outside a proper algebraic subset of the variable space) do not have flat bands. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_03632 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rare Flat Bands for Periodic Graph Operators Faust, Matthew Liu, Wencai Spectral Theory Mathematical Physics Commutative Algebra Algebraic Geometry Combinatorics 14M25, 47A75, 81Q10 As a corollary of our main results, we prove that for any connected $\mathbb{Z}^d$-periodic graph, when edge weights and potentials are treated as variables, the corresponding periodic graph operators generically (i.e., outside a proper algebraic subset of the variable space) do not have flat bands. |
| title | Rare Flat Bands for Periodic Graph Operators |
| topic | Spectral Theory Mathematical Physics Commutative Algebra Algebraic Geometry Combinatorics 14M25, 47A75, 81Q10 |
| url | https://arxiv.org/abs/2503.03632 |