具有 meronic 波的声学拓扑 Euler 绝缘体的观测
Observation of an acoustic topological Euler insulator with meronic waves
AI总结：
本研究在声学超材料中首次实验实现了具有独特 meronic 表征的拓扑 Euler 绝缘体相，揭示了其非平庸 Euler 类与 meronic 构型，并通过泵浦-探测技术证实了非常规体-边对应关系。
摘要：
拓扑能带理论传统上关注的是单个能隙周围的能带拓扑。直到最近，依赖于多个能隙的非阿贝尔拓扑才被研究，揭示了超越传统范式的拓扑物理学新视野。在此，我们报告了在声学超材料中首次实验实现具有独特 meronic 表征的拓扑 Euler 绝缘体相。我们证明该拓扑相具有几个非平庸特征：首先，该系统无法用传统拓扑能带理论描述，但具有一个非平庸的 Euler 类，它刻画了 Brillouin 区内 Bloch 能带的非常规几何。其次，我们首次在理论中发现并在实验中探测了体态 Bloch 态的 meronic 构型。第三，通过详细的对称性分析，我们表明拓扑 Euler 绝缘体是从非阿贝尔拓扑半金属相通过 Dirac 点在其中一个能隙中成对湮灭演化而来。凭借这些非平庸性质，我们具体建立了一种非常规的体-边对应关系，并通过泵浦-探测技术直接测量边缘态予以证实。因此，我们的工作揭示了一种具有独特 meronic 图案的非平庸拓扑 Euler 绝缘体相，并为非阿贝尔拓扑现象铺平了道路。
英文摘要：
Topological band theory has conventionally been concerned with the topology of bands around a single gap. Only recently non-Abelian {topologies that thrive on involving multiple gaps} were studied, unveiling a new horizon {in topological physics} beyond the conventional paradigm. Here, we report on the first experimental realization of a topological Euler insulator phase with unique meronic characterization in an acoustic metamaterial. We demonstrate that this topological phase has several nontrivial features: First, the system cannot be {described} by conventional topological band theory, but has a nontrivial Euler class that captures the unconventional geometry {of the Bloch} bands {in the Brillouin zone}. Second, we uncover in theory and probe in experiments a meronic configuration of the bulk Bloch states for the first time. Third, using a detailed symmetry {analysis}, we show that the topological Euler insulator evolves from {a non-Abelian topological semimetal phase via the annihilation of Dirac points in pairs in one of the band gaps}. With these nontrivial properties, we establish concretely an unconventional bulk-edge correspondence which is confirmed by directly measuring the edge states via {pump-probe techniques}. Our work thus unveils a nontrivial topological Euler insulator phase with {a unique} meronic {pattern} and paves the way as a platform for {non-Abelian topological} phenomena.
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