具有不同切割边的蝴蝶结梯中的拓扑边态
Topological edge states in bowtie ladders with different cutting edges
摘要：
我们研究了具有各种边截断的蝴蝶结梯中的拓扑边态。对称的蝴蝶结阶梯，它包括两个平凡的苏-施里弗-海格尔（SSH）晶格，表现出平凡的绝缘态的绝缘体-金属过渡。另一方面，晶格可以被转换成一个扩展的SSH晶格依赖于边缘形状与非平凡的绝缘状态，在缠绕数是非零的。根据单元格的选择，在相图中排列指定绕组编号。拓扑边状态受边的形状和相应的缠绕数的影响。我们还利用边缘态的局域化长度特征研究了具有更丰富相图的一般蝴蝶结梯形模型。
英文摘要：
We have studied topological edge states in bowtie ladders with various edge truncations. The symmetric bowtie ladder, which comprises two trivial Su-Schrieffer-Heeger (SSH) lattices, exhibits an insulator-metal transition with trivial insulating states. On the other hand, the lattice can be transformed into an extended SSH lattice depending on the edge shapes with non-trivial insulating states in that the winding number is non-zero. The winding numbers are permutationally designated in the phase diagram depending on the choice of unit cell. The topological edge states are affected by the shape of the edge and the corresponding winding number. We also studied general bowtie ladder models with richer phase diagrams using the characteristics of the localization length of the edge states showing state bifurcation.
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