Edge states and topological pumping in stiffness-modulated elastic plates
Edge states and topological pumping in stiffness-modulated elastic plates
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DOI：
10.1103/physrevb.101.094307
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发表时间：
2019-11
影响因子：
3.7
通讯作者：
E. Riva;M. Rosa;M. Ruzzene
中科院分区：
文献类型：
--
作者：
E. Riva;M. Rosa;M. Ruzzene
我们证明，弹性板的刚度特性沿空间维度的调制会引起跨越以整数值陈数为特征的非平凡间隙的边缘状态。我们还表明，拓扑泵浦是由调制轮廓的相位沿一个空间维度的平滑变化引起的，这导致边缘状态的绝热边到边跃迁。该概念首先通过正弦刚度调制的数值说明，然后在具有方波厚度剖面的板中进行实验演示。所提出的数值和实验结果表明了如何利用属性的连续调制来探索物质的拓扑相。这为通过沿第二维（空间或时间）缓慢调制的基于拓扑的波导开辟了新的可能性。
We demonstrate that modulations of the stiffness properties of an elastic plate along a spatial dimension induce edge states spanning non-trivial gaps characterized by integer valued Chern numbers. We also show that topological pumping is induced by smooth variations of the phase of the modulation profile along one spatial dimension, which results in adiabatic edge-to-edge transitions of the edge states. The concept is first illustrated numerically for sinusoidal stiffness modulations, and then experimentally demonstrated in a plate with square-wave thickness profile. The presented numerical and experimental results show how continuous modulations of properties may be exploited in the quest for topological phases of matter. This opens new possibilities for topology-based waveguiding through slow modulations along a second dimension, spatial or temporal.