Observation of anomalous Floquet non-Abelian topological insulators

Fuente: arXiv
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Autores principales: Qiu, Huahui, Tong, Shuaishuai, Zhang, Qicheng, Zhang, Kun, Qiu, Chunyin
Formato: Preprint
Publicado: 2025
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author Qiu, Huahui
Tong, Shuaishuai
Zhang, Qicheng
Zhang, Kun
Qiu, Chunyin
author_facet Qiu, Huahui
Tong, Shuaishuai
Zhang, Qicheng
Zhang, Kun
Qiu, Chunyin
contents Non-Abelian topological phases, which go beyond traditional Abelian topological band theory, are garnering increasing attention. This is further spurred by periodic driving, leading to predictions of many novel multi-gap Floquet topological phases, including anomalous Euler and Dirac string phases induced by non-Abelian Floquet braiding, as well as Floquet non-Abelian topological insulators (FNTIs) that exhibit multifold bulk-edge correspondence. Here, we report the first experimental realization of anomalous FNTIs, which demonstrate topological edge modes in all three gaps despite having a trivial bulk charge. Concretely, we construct an experimentally feasible one-dimensional three-band Floquet model and implement it in acoustics by integrating time-periodic coupling circuits to static acoustic crystals. Furthermore, we observe counterintuitive topological interface modes in the domain-wall formed by an anomalous FNTI and its counterpart with swapped driving sequences, modes previously inaccessible in Floquet Abelian systems. Our work paves the way for further experimental exploration of the uncharted non-equilibrium topological physics.
format Preprint
id arxiv_https___arxiv_org_abs_2508_06818
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Observation of anomalous Floquet non-Abelian topological insulators
Qiu, Huahui
Tong, Shuaishuai
Zhang, Qicheng
Zhang, Kun
Qiu, Chunyin
Mesoscale and Nanoscale Physics
Materials Science
Other Condensed Matter
Non-Abelian topological phases, which go beyond traditional Abelian topological band theory, are garnering increasing attention. This is further spurred by periodic driving, leading to predictions of many novel multi-gap Floquet topological phases, including anomalous Euler and Dirac string phases induced by non-Abelian Floquet braiding, as well as Floquet non-Abelian topological insulators (FNTIs) that exhibit multifold bulk-edge correspondence. Here, we report the first experimental realization of anomalous FNTIs, which demonstrate topological edge modes in all three gaps despite having a trivial bulk charge. Concretely, we construct an experimentally feasible one-dimensional three-band Floquet model and implement it in acoustics by integrating time-periodic coupling circuits to static acoustic crystals. Furthermore, we observe counterintuitive topological interface modes in the domain-wall formed by an anomalous FNTI and its counterpart with swapped driving sequences, modes previously inaccessible in Floquet Abelian systems. Our work paves the way for further experimental exploration of the uncharted non-equilibrium topological physics.
title Observation of anomalous Floquet non-Abelian topological insulators
topic Mesoscale and Nanoscale Physics
Materials Science
Other Condensed Matter
url https://arxiv.org/abs/2508.06818