论文标题

沿量子旋转厅绝缘子边缘的磁杂质:实现一维AIII绝缘子

Magnetic impurities along the edge of a quantum spin Hall insulator: Realizing a one-dimensional AIII insulator

论文作者

van Dalum, G. A. R., Ortix, C., Fritz, L.

论文摘要

在本文中,我们构建了一个一维绝缘子,具有属于AIII类的近似手性对称性,并讨论其特性。构造原理是带有磁性杂质的二维量子旋转厅绝缘子边缘的故意污染。所得的结合状态沿边缘杂交和分散。我们在哪些情况下讨论该链在有效的低能理论水平上具有零维边界模式。我们建筑的主要吸引力是杂质晶格的细节的独立性:零模式稳定在疾病和随机晶格构型上。我们还表明,在存在Rashba耦合的情况下,将对称类别更改为A,尽管没有非平凡的拓扑指数,但仍可以期望由镜子对称性保护的局部半固定边界多余的电荷。所有结果在微观模型中被数值确认。

In this paper we construct a one-dimensional insulator with an approximate chiral symmetry belonging to the AIII class and discuss its properties. The construction principle is the intentional pollution of the edge of a two-dimensional quantum spin Hall insulator with magnetic impurities. The resulting bound states hybridize and disperse along the edge. We discuss under which circumstances this chain possesses zero-dimensional boundary modes on the level of an effective low-energy theory. The main appeal of our construction is the independence on details of the impurity lattice: the zero modes are stable against disorder and random lattice configurations. We also show that in the presence of Rashba coupling, which changes the symmetry class to A, one can still expect localized half-integer boundary excess charges protected by mirror symmetry although there is no nontrivial topological index. All of the results are confirmed numerically in a microscopic model.

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