English

Band Structure Engineering of Coupled-Resonator Phononic Polyacetylene and Polyaminoborane

Materials Science 2025-06-02 v1

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 κ\kappa-deformed Dirac equation, both within a tight-binding framework. Additionally, the obtained finite realization of the artificial trans-polyacetylene exhibits topologically protected states.

Keywords

Cite

@article{arxiv.2505.23951,
  title  = {Band Structure Engineering of Coupled-Resonator Phononic Polyacetylene and Polyaminoborane},
  author = {B. Manjarrez-Montañez and R. A. Méndez-Sánchez and Y. Betancur-Ocampo and A. Martínez-Argüello},
  journal= {arXiv preprint arXiv:2505.23951},
  year   = {2025}
}