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Anomalous quadrupole topological insulators in two-dimensional nonsymmorphic sonic crystals

机译：二维非型晶体晶体中的异常四极拓扑绝缘子

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摘要

The discovery of quadrupole topology opens a new horizon in the study of topological phenomena. However, the existing experimental realizations of quadrupole topological insulators in symmorphic lattices with π fluxes often break the protective mirror symmetry. Here, we present a theory for anomalous quadrupole topological insulators in nonsymmorphic crystals without flux using two-dimensional sonic crystals with p4gm and p2gg symmetry groups as concrete examples. We reveal that the anomalous quadrupole topology is protected by two orthogonal glide symmetries in square or rectangular lattices. The distinctive features of the anomalous quadrupole topological insulators include: (ⅰ) minimal four bands below the topological band gap, (ⅱ) nondegenerate gapped Wannier bands and special Wannier sectors with gapped composite Wannier bands, and (ⅲ) quantized Wannier band polarizations in these Wannier sectors. With no need for flux insertion, the protective glide symmetries are well preserved in the sonic-crystal realizations where higher-order topological transitions can be triggered by symmetry or geometry engineering.
机译：在拓扑现象研究中，Quadrupole拓扑的发现开启了一个新的地平线。然而，具有π助焊剂的叙事晶格中的四极拓扑绝缘体的现有实验性实现通常破坏保护镜对称。在这里，我们向非对杂晶体中的异常四极晶体绝缘剂的理论，无通量使用具有P4GM和P2GG对称基团的二维声晶晶体作为具体实施例。我们揭示了异常的四极拓扑在方形或矩形格子中受到两个正交的滑动对称的保护。异常的四极拓扑绝缘体的独特特征包括：（Ⅰ）拓扑带隙下方的四个频段，（Ⅱ）具有带有螺纹复合多尔米尼尔带的非评级栅格有限公司和特殊的Wannier扇区，以及（Ⅲ）量化的Wannier带偏振Wannier部门。由于不需要磁通插入，因此在Sonic晶体的实现中保留了保护性的滑动对称性，可以通过对称或几何工程来触发高阶拓扑转换。

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  • 来源
    《Physical review》 |2020年第3期|035105.1-035105.6|共6页
  • 作者

    Zhi-Kang Lin; Hai-Xiao Wang; Zhan Xiong; Ming-Hui Lu; Jian-Hua Jiang;

  • 作者单位

    School of Physical Science and Technology Collaborative Innovation Center of Suzhou Nano Science and Technology Soochow University 1 Shizi Street Suzhou 215006 China;

    College of Physics and Technology Guangxi Normal University Guilin 541004 China School of Physical Science and Technology Collaborative Innovation Center of Suzhou Nano Science and Technology Soochow University 1 Shizi Street Suzhou 215006 China;

    School of Physical Science and Technology Collaborative Innovation Center of Suzhou Nano Science and Technology Soochow University 1 Shizi Street Suzhou 215006 China;

    National Laboratory of Solid State Microstructures and Department of Materials Science and Engineering Nanjing University Nanjing 210093 China and Collaborative Innovation Center of Advanced Microstructures Nanjing University Nanjing 210093 China;

    School of Physical Science and Technology Collaborative Innovation Center of Suzhou Nano Science and Technology Soochow University 1 Shizi Street Suzhou 215006 China;

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