Layer-number parity induced topological phase transition

Fuente: arXiv
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Auteurs principaux: Chen, Kai, Guan, Junyan, Guo, Jiamin, Gao, He, Gu, Zhongming, Zhu, Jie
Format: Preprint
Publié: 2026
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author Chen, Kai
Guan, Junyan
Guo, Jiamin
Gao, He
Gu, Zhongming
Zhu, Jie
author_facet Chen, Kai
Guan, Junyan
Guo, Jiamin
Gao, He
Gu, Zhongming
Zhu, Jie
contents We demonstrate that stacking topologically trivial layers, under enforced symmetry restrictions, yields emergent topological phases with protected boundary states. Remarkably, the number of layers itself acts as a topological switch, enabling the system to host topological bound states in the continuum (BICs). We analytically show that the spectrum becomes gapless for an odd number of layers; combined with entanglement-spectrum calculations, this confirms that odd-layer systems indeed support topological BICs. We provide experimental confirmation of these phenomena in stacked acoustic lattices. Our findings establish a previously overlooked pathway to topology and demonstrate a readily applicable strategy for realizing exotic states in a wide range of artificial material systems.
format Preprint
id arxiv_https___arxiv_org_abs_2602_18855
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Layer-number parity induced topological phase transition
Chen, Kai
Guan, Junyan
Guo, Jiamin
Gao, He
Gu, Zhongming
Zhu, Jie
Materials Science
We demonstrate that stacking topologically trivial layers, under enforced symmetry restrictions, yields emergent topological phases with protected boundary states. Remarkably, the number of layers itself acts as a topological switch, enabling the system to host topological bound states in the continuum (BICs). We analytically show that the spectrum becomes gapless for an odd number of layers; combined with entanglement-spectrum calculations, this confirms that odd-layer systems indeed support topological BICs. We provide experimental confirmation of these phenomena in stacked acoustic lattices. Our findings establish a previously overlooked pathway to topology and demonstrate a readily applicable strategy for realizing exotic states in a wide range of artificial material systems.
title Layer-number parity induced topological phase transition
topic Materials Science
url https://arxiv.org/abs/2602.18855