论文标题

具有有序通量配置的Kitaev旋转纳米管的拓扑表征

Topological Characterization of Kitaev Spin Nanoribbons with Ordered Flux Configurations

论文作者

Tadokoro, Ryuto, Yamamoto, Shoji

论文摘要

我们展示了$ s = \ frac {1} {2} $ kitaev量子旋转液体的拓扑表征,上面是一系列一维蜂窝纳米骨晶格,带有锯齿形和扶手椅终止边缘。我们绘制其Majoraana Spinon相图,并具有不同的邻邻交换耦合,不仅在接地通量构型的扇区,而且在激发磁通配置的某些扇区。在锯齿形和扶手椅纳米管的基础状态下,分别发生了单个和多相跃迁,前者和后者分别不敏感,并受背景通量构型的影响。拓扑阶段每个都有一个缠绕数字作为它们的不变。在每个相边界上,Majorana Spinon分散关系都反映了绕组数的变化和背景通量配置。

We demonstrate topological characterization of $S=\frac{1}{2}$ Kitaev quantum spin liquids on a series of one-dimensional honeycomb nanoribbon lattices with zigzag and armchair terminated edges. We draw their Majorana spinon phase diagrams with varying nearest-neighbor exchange couplings not only at the sector of the ground flux configuration but also at some sectors of excited flux configurations. In the ground states of the zigzag and armchair nanoribbons, there occur a single and multiple phase transitions, respectively, the former and latter of which are insensitive and subject to the background flux configuration, respectively. Topological phases each have a winding number as their invariant. On each phase boundary, the Majorana spinon dispersion relation reflects both of the change in the winding number and the background flux configuration.

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