非晶态固体中密度驱动的高阶拓扑相变
Density-driven higher-order topological phase transitions in amorphous solids
摘要：
非晶态拓扑态由于不依赖于微观结构的空间分布而受到人们的广泛关注。近年来，人们在非晶系统中提出了一类新的物质拓扑相--高阶拓扑绝缘体。在这里，我们提出了一个密度驱动的高阶拓扑相变在一个二维非晶系统。我们证明，非晶系统主机在低密度的拓扑平凡相。随着格点密度的增加，拓扑平凡相转变为以量子化四极矩和拓扑角态的存在为特征的高阶拓扑相。此外，我们证实了密度驱动的高阶拓扑相变是尺寸相关的。此外，我们的结果应该是普遍的，同样适用于三维非晶系统。我们的发现将极大地丰富非晶系统中高阶拓扑态的研究。
英文摘要：
Amorphous topological states, which are independent of the specific spatial distribution of microscopic constructions, have gained much attention. Recently, higher-order topological insulators, which are a new class of topological phases of matter, have been proposed in amorphous systems. Here, we propose a density-driven higher-order topological phase transition in a two-dimensional amorphous system. We demonstrate that the amorphous system hosts a topological trivial phase at low density. With an increase in the density of lattice sites, the topological trivial phase converts to a higher-order topological phase characterized by a quantized quadrupole moment and the existence of topological corner states. Furthermore, we confirm that the density-driven higher-order topological phase transition is size dependent. In addition, our results should be general and equally applicable to three-dimensional amorphous systems. Our findings may greatly enrich the study of higher-order topological states in amorphous systems.
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