论文标题
在Quasiperiodic的非Hermitian系统中,将重新入选局部散装和局部扩展边缘
Reentrant Localized Bulk and Localized-Extended Edge in Quasiperiodic Non-Hermitian Systems
论文作者
论文摘要
本地化是拓扑物理学的积极和基本研究之一。基于在非对角线位置出现的准二膜非甲状化词的广义su-schrieffer-Heeger模型,我们提出了一种新型的系统方法,分别分析了整体和边缘的定位行为。对于大容量,可以发现它经历了由准阶阶和非全面性诱导的扩展委托主委托折视 - 折线委托临界过渡。对于边缘状态,可以随着准分子强度的增加而破坏和恢复它,并且其局部过渡与拓扑相跃迁完全同步。此外,边缘状态的反参与率随着疾病强度的增加而振荡。最后,数值结果阐明了归一化参与比的衍生物在局部过渡点表现出巨大的不连续性。在这里,我们的结果不仅证明了整体和边缘状态的定位性能的多样性,而且还可以提供研究定位的普通方法的扩展。
The localization is one of the active and fundamental research in topology physics. Based on a generalized Su-Schrieffer-Heeger model with the quasiperiodic non-Hermitian emerging at the off-diagonal location, we propose a novel systematic method to analyze the localization behaviors for the bulk and the edge, respectively. For the bulk, it can be found that it undergoes an extended-coexisting-localized-coexisting-localized transition induced by the quasidisorder and nonHermiticity. While for the edge state, it can be broken and recovered with the increase of the quasidisorder strength, and its localized transition is synchronous exactly with the topological phase transition. In addition, the inverse participation ratio of the edge state oscillates with an increase of the disorder strength. Finally, numerical results elucidate that the derivative of the normalized participation ratio exhibits an enormous discontinuity at the localized transition point. Here, our results not only demonstrate the diversity of localization properties of bulk and edge state, but also may provide an extension of the ordinary method for investigating the localization.