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arXiv · 2605.11948

Topological edge states of the hexagonal linear chain

M. Niţă
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Abstract

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.

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M. Niţă. 2026-05-12. Topological edge states of the hexagonal linear chain. https://doi.org/10.1016/j.physleta.2026.131687

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