Topological Phase Transition and Phase Diagrams in a Two‐Leg Kitaev Ladder System,Annalen Der Physik

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Topological Phase Transition and Phase Diagrams in a Two‐Leg Kitaev Ladder System
Annalen Der Physik ( IF 2.2 ) Pub Date : 2020-02-16 , DOI: 10.1002/andp.201900479
Yu Yan ₁ , Lu Qi ₂ , Dong‐Yang Wang ₂ , Yan Xing ₂ , Hong‐Fu Wang ₁ , Shou Zhang ₁

Affiliation

A scheme to investigate the topological properties in a two‐leg Kitaev ladder system composed of two Kitaev chains is proposed. In the case of two identical Kitaev chains, it is found that the interchain hopping amplitude plays a significant role in the separation of the energy spectrum and in inducing a topologically nontrivial phase, while the interchain pairing strength only affects the size of the energy gap. Moreover, another situation that the system consists of two non‐identical Kitaev chains is also investigated and the corresponding phase diagram is calculated. It is found that two pairs of degenerate nonzero edge modes will, respectively, appear in the upper and lower energy gaps when the interchain hopping amplitude or the interchain pairing strength is large enough. Furthermore, it is pointed out that the winding number is quantitatively equivalent to half of the number of zero energy edge modes in our system.

中文翻译：

两腿Kitaev梯形系统中的拓扑相变和相图

提出了研究由两个基塔耶夫链组成的两腿基塔耶夫梯形系统中拓扑特性的方案。在两条相同的Kitaev链的情况下，发现链间跳变幅度在能谱的分离和诱导拓扑上无关紧要的相中起着重要作用，而链间配对强度仅影响能隙的大小。此外，还研究了系统由两个不相同的Kitaev链组成的另一种情况，并计算了相应的相图。发现当链间跳变幅度或链间配对强度足够大时，两对简并的非零边缘模式将分别出现在上下能隙中。此外，

更新日期：2020-02-16

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