二维蜂巢晶格上与几何有关的声学高阶拓扑相位

Shi-Qiao Wu, Zhi-Kang Lin, Yongyao Li, Jianing Xie
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引用次数: 0

摘要

高阶拓扑态作为物质的新兴拓扑相,源于凝聚态物理学,引发了人们对拓扑绝缘体的热烈探索。它们的拓扑保护多维局部态通常与非三角体带拓扑相关联,而晶格几何的重要影响却被无意识地忽略了。在此,我们在二维蜂巢晶格上构建耦合声腔,研究高阶拓扑模式对边缘轮廓变化的敏感性。尽管蜂巢晶格和连续体中的束缚态具有固有的最小体带隙,但我们利用分数电荷准确预测了具有不同拓扑阶数的拓扑模式。研究发现,同一拓扑相中一阶和高阶拓扑模式的存在与否与样品边界密切相关,这可以通过理论分析和数值计算来证明。我们的研究还讨论了在不同平台上实现几何拓扑态的潜在物理可能性,为拓扑器件在声学领域的应用前景提供了灵感。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Geometry-dependent acoustic higher-order topological phases on a two-dimensional honeycomb lattice
Higher-order topological states, as emergent topological phases of matter, originating from condensed matter physics, have sparked a vibrant exploration of topological insulators. Their topologically protected multidimensional localized states are typically associated with nontrivial bulk band topology, and the significant impact of lattice geometry is unconsciously overlooked. Here, we construct coupled acoustic cavities on a two-dimensional honeycomb lattice to investigate the sensitivity of higher-order topological modes to the variations of edge contour. Fractional charge is utilized to accurately predict topological modes with distinct topological orders, in spite of the minimal bulk bandgaps inherent in the honeycomb lattice and bound states in the continuum. It is found that the presence and absence of the first-order and higher-order topological modes in the same topological phase are tightly linked to the sample boundaries, which can be demonstrated by both theoretical analysis and numerical calculation. Our study also discusses potential physical realization of geometry-dependent topological states across different platforms, providing inspiration for the prospective application of topological devices in acoustics.
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