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Topological Acoustic Metamaterials with Synthetic Magnetism: Observation of Hofstadter Spectrum and Topological Edge States

Abstract

Architected materials are increasingly used to implement topological dynamics, yet realizing the gauge fields and symmetries that protect the topology with purely passive elements remains the central practical challenge. Here we turn a previously proposed theoretical strategy into an integrated platform that accepts a theoretical model as input and returns a passive acoustic metamaterial with identical dynamics. We demonstrate it experimentally on the Hofstadter model at θ= 2π/3, fabricating a spin-Chern insulator whose two sectors carry Chern numbers Cs = ± 1, and observe the predicted helical edge states.

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BibTeX
@misc{rybalova2026topological,
  title = {{Topological Acoustic Metamaterials with Synthetic Magnetism: Observation of Hofstadter Spectrum and Topological Edge States}},
  author = {Elena Rybalova and Jackson Saunders and Curtis Rasmussen and Nicholas H. Patino and Emil Prodan and Massimo Ruzzene and Camelia Prodan},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.02262},
  eprint = {2611.02262},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.02262},
}
RIS
TY  - UNPB
TI  - Topological Acoustic Metamaterials with Synthetic Magnetism: Observation of Hofstadter Spectrum and Topological Edge States
AU  - Elena Rybalova
AU  - Jackson Saunders
AU  - Curtis Rasmussen
AU  - Nicholas H. Patino
AU  - Emil Prodan
AU  - Massimo Ruzzene
AU  - Camelia Prodan
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.02262
UR  - https://arxiv.org/abs/2611.02262
AB  - Architected materials are increasingly used to implement topological dynamics, yet realizing the gauge fields and symmetries that protect the topology with purely passive elements remains the central practical challenge. Here we turn a previously proposed theoretical strategy into an integrated platform that accepts a theoretical model as input and returns a passive acoustic metamaterial with identical dynamics. We demonstrate it experimentally on the Hofstadter model at θ= 2π/3, fabricating a spin-Chern insulator whose two sectors carry Chern numbers C_s = ± 1, and observe the predicted helical edge states.
ER  -