Topological invariants, zero mode edge states and finite size effect for a generalized non-reciprocal Su-Schrieffer-Heeger model
Topological invariants, zero mode edge states and finite size effect for a generalized non-reciprocal Su-Schrieffer-Heeger model
复制标题
广义非互易 Su-Schrieffer-Heeger 模型的拓扑不变量、零模式边缘态和有限尺寸效应
DOI：
10.1140/epjb/e2020-10036-3
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发表时间：
2019-06
影响因子：
1.6
通讯作者：
Chen Shu
中科院分区：
文献类型：
--
作者：
Jiang Hui;Lu Rong;Chen Shu
一维非互易拓扑系统中有趣的问题包括通常的体-边对应的崩溃和半整数拓扑不变量的出现。为了理解这些不寻常的拓扑性质，我们研究了具有满足手征对称性的一般形式的广义非互易Su-Schrieffer-Heeger模型的拓扑相图和零模边缘态，基于一些分析结果。同时，我们提供了一个简洁的几何解释的体积拓扑不变量的两个独立的缠绕数，也给出了另一种解释有关的连接性质的曲线在三维空间。对于开边界条件下的系统，我们通过适当考虑系统的隐对称性和归一化条件，利用双正交本征向量，解析地构造了零模边缘态的波函数。我们的分析结果直接给出了零模边缘态存在的相边界，清晰地揭示了边缘态的演化行为。通过与有限尺寸系统精确对角化的结果比较，我们发现我们的解析结果与数值结果吻合得很好。
Intriguing issues in one-dimensional non-reciprocal topological systems include the breakdown of usual bulk-edge correspondence and the occurrence of half-integer topological invariants. In order to understand these unusual topological properties, we investigate the topological phase diagrams and the zero-mode edge states of a generalized non-reciprocal Su-Schrieffer-Heeger model with a general form fulfilling the chiral symmetry, based on some analytical results. Meanwhile, we provide a concise geometrical interpretation of the bulk topological invariants in terms of two independent winding numbers and also give an alternative interpretation related to the linking properties of curves in three-dimensional space. For the system under the open boundary condition, we construct analytically the wavefunctions of zero-mode edge states by properly considering a hidden symmetry of the system and the normalization condition with the use of biorthogonal eigenvectors. Our analytical results directly give the phase boundary for the existence of zero-mode edge states and unveil clearly the evolution behavior of edge states. In comparison with results via exact diagonalization of finite-size systems, we find our analytical results agree with the numerical results very well.
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影响因子：
2.9
作者：
Chuanhao Yin;Hui Jiang;Linhu Li;R. Lu;Shu Chen
通讯作者：
Chuanhao Yin;Hui Jiang;Linhu Li;R. Lu;Shu Chen
影响因子：
3.7
作者：
Chun-hui Liu;Hui Jiang;Shu Chen
通讯作者：
Chun-hui Liu;Hui Jiang;Shu Chen
影响因子：
3.7
作者：
A. Zyuzin;A. Zyuzin;A. Zyuzin
通讯作者：
A. Zyuzin;A. Zyuzin;A. Zyuzin
影响因子：
3.7
作者：
Chun-hui Liu;Shu Chen
通讯作者：
Chun-hui Liu;Shu Chen
影响因子：
2.6
作者：
C. Yuce
通讯作者：
C. Yuce