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arXiv · 2505.23951

Band Structure Engineering of Coupled-Resonator Phononic Polyacetylene and Polyaminoborane

B. Manjarrez-Montañez·R. A. Méndez-Sánchez·Y. Betancur-Ocampo·A. Martínez-Argüello
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Abstract

A methodology for constructing a quasi-one-dimensional coupled-resonator phononic metamaterial is presented. This is achieved through the design of artificial phononic analogs of two molecular structures: trans-polyacetylene and trans-polyaminoborane. The band structure of trans-polyacetylene is analyzed in relation to the Su-Schrieffer-Heeger (SSH) model, while that of trans-polyaminoborane is examined using the $\kappa$-deformed Dirac equation, both within a tight-binding framework. Additionally, the obtained finite realization of the artificial trans-polyacetylene exhibits topologically protected states.

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B. Manjarrez-Montañez, R. A. Méndez-Sánchez, Y. Betancur-Ocampo, A. Martínez-Argüello. 2025-05-29. Band Structure Engineering of Coupled-Resonator Phononic Polyacetylene and Polyaminoborane. https://arxiv.org/abs/2505.23951

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