论文标题
非热拓扑媒体中的异常拓扑边缘状态
Anomalous topological edge states in non-Hermitian piezophononic media
论文作者
论文摘要
散装或批量边缘对应关系是将限制状态与大块拓扑分类相关的原理。通过将非热成分的收益或损失与违反互惠性的媒体相结合,一种非常规的非散装式对应性会导致在边界处的散装状态的异常定位 - $ $ $ $ $ $ $的现象呈现出的非官方皮肤效应。在这里,我们\ TextColor {Black} {数值}在电偏和分层的Piezophononic介质中采用声音电效应,作为MHz策略中非热和非认定拓扑机制的坚实框架。由于对机械振动的非铁皮皮肤效应的效果,我们发现有限系统的整体带对晶体终止的类型高度敏感,这表明使用传统的Bloch频段预测波浪特性的失败。更令人惊讶的是,当逆转电偏见时,我们揭示了如何在相同或相反的界面上利用拓扑边缘和散装振动。然而,尽管发现散装状态显示出这种非常规的皮肤效果,但我们进一步讨论了在同一瞬间中的间隙边缘状态如何能够沿整个分层介质沿着违反直觉进行离域。我们预见,我们的预测将刺激基于外来波形物理学的无回声超声波中的新途径。
The bulk-boundary or bulk-edge correspondence is a principle relating surface confined states to the topological classification of the bulk. By combining non-Hermitian ingredients in terms of gain or loss with media that violate reciprocity, an unconventional non-Bloch bulk-boundary correspondence leads to unusual localization of bulk states at boundaries$-$a phenomenon coined non-Hermitian skin effect. Here we \textcolor{black}{numerically} employ the acoustoelectric effect in electrically biased and layered piezophononic media as a solid framework for non-Hermitian and nonreciprocal topological mechanics in the MHz regime. Thanks to a non-Hermitian skin effect for mechanical vibrations, we find that the bulk bands of finite systems are highly sensitive to the type of crystal termination, which indicates a failure of using traditional Bloch bands to predict the wave characteristics. More surprisingly, when reversing the electrical bias, we unveil how topological edge and bulk vibrations can be harnessed either at the same or opposite interface. Yet, while bulk states are found to display this unconventional skin effect, we further discuss how in-gap edge states in the same instant, counterintuitively are able to delocalize along the entire layered medium. We foresee that our predictions will stimulate new avenues in echo-less ultrasonics based on exotic wave physics.