论文标题
Ammann-Beenker Quasicrystal和Snub Square Crystal的拓扑安德森绝缘子
Topological Anderson insulators in an Ammann-Beenker quasicrystal and a snub-square crystal
论文作者
论文摘要
最近已经大量发展了对大道系统中物质拓扑阶段的追求。在这里，我们研究了疾病对二维Ammann-Beenker瓷砖准晶格晶格的拓扑阶段的影响。为了进行比较，我们还考虑了周期性的Snub方形晶格的情况，该晶格具有与Ammann-Beenker瓷砖准晶体晶格相同的原始瓷砖。通过计算旋转剂量指数和两端电导，我们确认具有无序的拓扑阶段在具有不同的对称性和周期性的两个系统中具有相似的特性。结果表明，量子旋转霍尔状态在准晶格和晶格中都对弱混乱症具有鲁棒性。更有趣的是，这两个系统中出现了由混乱引起的拓扑安德森绝缘子阶段。此外，通过局部电流的分布验证了拓扑安德森绝缘子阶段贡献的量化电导高原。
The quest for the topological phases of matter in an aperiodic system has been greatly developed recently. Here we investigate the effects of disorder on topological phases of a two-dimensional Ammann-Beenker tiling quasicrystalline lattice. For comparison purposes, we also consider the case of a periodic snub-square crystalline lattice, which has the same primitive tiles as the Ammann-Beenker tiling quasicrystalline lattice. By calculating the spin Bott index and the two-terminal conductance, we confirm that the topological phases with disorder share the similar properties in the two systems which possess different symmetry and periodicity. It is shown that the quantum spin Hall states are robust against weak disorder in both the quasicrystalline lattice and the crystalline lattice. More interesting is that topological Anderson insulator phases induced by disorder appear in the two systems. Furthermore, the quantized conductance plateau contributed by the topological Anderson insulator phase is verified by the distribution of local currents.
