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arXiv 1805.02759cond-mat.mtrl-sci
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拓扑格中的边模和非对称波输运:有限频率下的实验表征

Edge Modes and Asymmetric Wave Transport in Topological Lattices: Experimental Characterization at Finite Frequencies

Jihong Ma, Di Zhou, Kai Sun, Xiaoming Mao, Stefano Gonella

摘要:

虽然拓扑力学超材料已经从理论角度进行了广泛的研究,但其实验表征一直滞后。为了解决这个缺点,我们提出了一个系统的激光辅助实验表征拓扑kagome晶格,旨在阐明其平面内的声子和拓扑特性。我们专门探讨了连续弹性极限,这是建立时,出现在理论模型中的理想铰链被替换为能够支持弯曲变形的韧带,例如在现实的物理晶格中观察到的。我们揭示了如何预测的理想配置的零能量软边缘模式变形为有限频率的声子模式,本地化的边缘。通过用精心设计的激励信号探测晶格,我们能够提取和表征复杂低频声学制度的所有特征,其中体模和拓扑边缘模重叠并纠缠在响应中。实验提供了明确的证据,在有限的频率强不对称波传输制度的存在。

英文摘要:

Although topological mechanical metamaterials have been extensively studied from a theoretical perspective, their experimental characterization has been lagging. To address this shortcoming, we present a systematic laser-assisted experimental characterization of topological kagome lattices, aimed at elucidating their in-plane phononic and topological characteristics. We specifically explore the continuum elasticity limit, which is established when the ideal hinges that appear in the theoretical models are replaced by ligaments capable of supporting bending deformation, as observed for instance in realistic physical lattices. We reveal how the zero-energy floppy edge modes predicted for ideal configurations morph into finite-frequency phonon modes that localize at the edges. By probing the lattices with carefully designed excitation signals, we are able to extract and characterize all the features of a complex low-frequency acoustic regime in which bulk modes and topological edge modes overlap and entangle in response. The experiments provide unequivocal evidence of the existence of strong asymmetric wave transport regimes at finite frequencies.

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