Quasi-periodic flat-band model constructed by molecular-orbital representation
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913887525273600 |
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| author | Mizoguchi, Tomonari Hatsugai, Yasuhiro |
| author_facet | Mizoguchi, Tomonari Hatsugai, Yasuhiro |
| contents | We construct a tight-binding model that hosts both a quasi-periodic nature and marcoscopically-dengenerate zero-energy modes. The model can be regarded as a counterpart of the Aubry-André-Harper (AAH) model, which is a paradigmatic example of the quasi-periodic tight-binding model. Our main focus is on the many-body state where the flat-band-like degenerate zero-energy modes are fully occupied. We find a characteristic sublattice dependence of the particle density distribution. Further, by analyzing the hyperuniformity of the particle density distribution, we find that it belongs to the class-I hyperuniform distribution, regardless of the model parameter. We also show that, upon changing the parameter, the finite-energy modes exhibit the same extended-to-localized transition as that for the original AAH model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_08450 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasi-periodic flat-band model constructed by molecular-orbital representation Mizoguchi, Tomonari Hatsugai, Yasuhiro Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Statistical Mechanics Strongly Correlated Electrons We construct a tight-binding model that hosts both a quasi-periodic nature and marcoscopically-dengenerate zero-energy modes. The model can be regarded as a counterpart of the Aubry-André-Harper (AAH) model, which is a paradigmatic example of the quasi-periodic tight-binding model. Our main focus is on the many-body state where the flat-band-like degenerate zero-energy modes are fully occupied. We find a characteristic sublattice dependence of the particle density distribution. Further, by analyzing the hyperuniformity of the particle density distribution, we find that it belongs to the class-I hyperuniform distribution, regardless of the model parameter. We also show that, upon changing the parameter, the finite-energy modes exhibit the same extended-to-localized transition as that for the original AAH model. |
| title | Quasi-periodic flat-band model constructed by molecular-orbital representation |
| topic | Mesoscale and Nanoscale Physics Disordered Systems and Neural Networks Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2506.08450 |