论文标题

蝴蝶结梯的拓扑边缘状态不同

Topological edge states in bowtie ladders with different cutting edges

论文作者

Ryu, Jung-Wan, Woo, Sungjong, Myoung, Nojoon, Park, Hee Chul

论文摘要

我们研究了带有各种边缘截断的Bowtie梯子中的拓扑边缘状态。对称的Bowtie梯子包括两个微不足道的Su-Schrieffer-Heeger(SSH)晶格,它表现出具有微不足道的绝缘状态的绝缘剂量过渡。另一方面,晶格可以根据边缘形状的非平原绝缘状态转换为延长的SSH晶格,因为绕组数为非零。根据单位电池的选择,绕组数在相图中被置换。拓扑边缘状态受边缘形状和相应的绕组数的影响。我们还使用显示状态分叉的边缘状态的定位长度的特征研究了具有更丰富相位图的一般弓箭阶梯模型。

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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