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Multiple scattering theory of non-Hermitian sonic second-order topological insulators
Communications Physics ( IF 5.5 ) Pub Date : 2019-10-25 , DOI: 10.1038/s42005-019-0233-6
María Rosendo López , Zhiwang Zhang , Daniel Torrent , Johan Christensen

Topological phases of sound enable unconventional confinement of acoustic energy at the corners in higher-order topological insulators. These unique states which go beyond the conventional bulk-boundary correspondence have recently been extended to non-Hermitian wave physics comprising finite crystal structures including loss and gain units. We use a multiple scattering theory to calculate these topologically trapped complex states that agree very well to finite element predictions. Moreover, our semi-numerical tool allows us to compute the spectral dependence of corner states in the presence of defects, illustrating the limits of the topological resilience of these confined non-Hermitian acoustic states.



中文翻译:

非Hermitian声波二阶拓扑绝缘子的多重散射理论

声音的拓扑阶段可将声能非常规地限制在高阶拓扑绝缘体的拐角处。这些超越常规体-边界对应关系的独特状态,最近已扩展到包括有限晶体结构(包括损耗和增益单元)的非赫米特波物理学。我们使用多重散射理论来计算这些拓扑捕获的复杂状态,这些状态与有限元预测非常吻合。此外,我们的半数值工具使我们能够计算出存在缺陷时拐角状态的频谱依赖性,从而说明了这些受限的非Hermitian声学状态的拓扑弹性的局限性。

更新日期:2019-10-25
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