论文标题
频谱分析，手性障碍和拓扑边缘状态在开放的非su-schrieffer-heeger链中的表现
Spectral analysis, chiral disorder and topological edge states manifestation in open non-Hermitian Su-Schrieffer-Heeger chains
论文作者
论文摘要
我们研究了具有手性对称性的非炎症系统中的拓扑和混乱效应。所考虑的系统包括有限的su-schrieffer-heeger链，并将两个半无限引线连接到。该系统缺乏平等时间和时间反转对称性，适合研究量子传输特性。根据链导耦合和手性障碍强度分析了复杂的能量光谱，并显示出具有均匀数量和奇数位点的链之间的实质性差异。中间隙边缘状态获得有限的寿命，既是拓扑起源，又是通过与导线的强耦合产生的。该疾病诱导拓扑特征值的合并，与特殊点和特征功能刚度消失有关。在Landauer形式主义中接近电子传输系数，并获得了拓扑状态范围内传播的分析表达。值得注意的是，在这种非炎症系统中的手性疾病在拓扑阶段诱导了统一电导的增强。
We investigate topological and disorder effects in non-Hermitian systems with chiral symmetry. The system under consideration consists in a finite Su-Schrieffer-Heeger chain to which two semi-infinite leads are attached. The system lacks the parity-time and time-reversal symmetries and is appropriate for the study of quantum transport properties. The complex energy spectrum is analyzed in terms of the chain-lead coupling and chiral disorder strength, and shows substantial differences between chains with even and odd number of sites. The mid-gap edge states acquire a finite lifetime and are both of topological origin or generated by a strong coupling to the leads. The disorder induces coalescence of the topological eigenvalues, associated with exceptional points and vanishing of the eigenfunction rigidity. The electron transmission coefficient is approached in the Landauer formalism, and an analytical expression for the transmission in the range of topological states is obtained. Notably, the chiral disorder in this non-Hermitian system induces unitary conductance enhancement in the topological phase.
