Topological edge states of the hexagonal linear chain
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866913116803039232 |
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| author | Niţă, M. |
| author_facet | Niţă, M. |
| contents | We study the eigenspectrum properties of a one-dimensional molecular chain composed of hexagonal unit cells. The system features two alternating hopping parameters, resulting in a rich energy spectrum with both dispersive and flat bands. By analyzing the model under periodic and open boundary conditions, we identify two insulating phases separated by a gap-closing transition controlled by the ratio of hopping amplitudes. In the topological phase, realized when the hopping ratio falls below a critical value, edge states emerge that are exponentially localized at the boundaries of finite chains. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_11948 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Topological edge states of the hexagonal linear chain Niţă, M. Mesoscale and Nanoscale Physics We study the eigenspectrum properties of a one-dimensional molecular chain composed of hexagonal unit cells. The system features two alternating hopping parameters, resulting in a rich energy spectrum with both dispersive and flat bands. By analyzing the model under periodic and open boundary conditions, we identify two insulating phases separated by a gap-closing transition controlled by the ratio of hopping amplitudes. In the topological phase, realized when the hopping ratio falls below a critical value, edge states emerge that are exponentially localized at the boundaries of finite chains. |
| title | Topological edge states of the hexagonal linear chain |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2605.11948 |