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Topological Phase Transitions in Disordered Electric Quadrupole Insulators
Physical Review Letters ( IF 8.6 ) Pub Date : 2020-10-15 , DOI: 10.1103/physrevlett.125.166801
Chang-An Li , Bo Fu , Zi-Ang Hu , Jian Li , Shun-Qing Shen

We investigate disorder-driven topological phase transitions in quantized electric quadrupole insulators in two dimensions. We show that chiral symmetry can protect the quantization of the quadrupole moment qxy, such that the higher-order topological invariant is well defined even when disorder has broken all crystalline symmetries. Moreover, nonvanishing qxy and consequent corner modes can be induced from a trivial insulating phase by disorder that preserves chiral symmetry. The critical points of such topological phase transitions are marked by the occurrence of extended boundary states even in the presence of strong disorder. We provide a systematic characterization of these disorder-driven topological phase transitions from both bulk and boundary descriptions.

中文翻译:

无序四极电绝缘子的拓扑相变

我们研究二维电四极绝缘子中无序驱动的拓扑相变。我们表明,手性对称性可以保护四极矩的量化qXÿ,因此即使无序破坏了所有晶体对称性,也可以很好地定义高阶拓扑不变量。而且,不消失qXÿ并可以通过保持手性对称的无序从琐碎的绝缘相中诱导出随后的转角模式。这样的拓扑相变的临界点即使在存在强无序的情况下也通过出现扩展的边界状态来标记。我们从体积和边界描述两个方面对这些无序驱动的拓扑相变提供了系统的表征。
更新日期:2020-10-15
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