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arXiv 1604.01033cond-mat.mes-hallcond-mat.mtrl-scicond-mat.soft
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线性机械超材料中拓扑声子的分类

Classification of topological phonons in linear mechanical metamaterials

Roman Süsstrunk, Sebastian D. Huber

摘要:

拓扑声子晶体,类似于它们的电子对应物,其特征在于体积-边缘对应,其中材料的内部决定稳定的表面或边界模式的存在。在机械设置中,这样的表面模式可以用于各种应用,例如波导、振动隔离或静态特性的设计,例如系统的部件自由移动的稳定软盘模式。在这里,我们提供了一个基于局部对称性的拓扑声子分类方案。我们导入和调整非相互作用电子系统的分类,并将其嵌入到机械装置中。此外,我们提供了一组广泛的例子来说明我们的计划,并可用于生成新的模型在未开发的对称类。我们的工作统一了最近大量的拓扑声子文献,并为拓扑表面模式在机械超材料中的未来应用铺平了道路。

英文摘要:

Topological phononic crystals, alike their electronic counterparts, are characterized by a bulk-edge correspondence where the interior of a material dictates the existence of stable surface or boundary modes. In the mechanical setup, such surface modes can be used for various applications such as wave-guiding, vibration isolation, or the design of static properties such as stable floppy modes where parts of a system move freely. Here, we provide a classification scheme of topological phonons based on local symmetries. We import and adapt the classification of non-interacting electron systems and embed it into the mechanical setup. Moreover, we provide an extensive set of examples that illustrate our scheme and can be used to generate new models in unexplored symmetry classes. Our works unifies the vast recent literature on topological phonons and paves the way to future applications of topological surface modes in mechanical metamaterials.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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