论文标题
在非铁质的准晶体中，依赖边界的自我双重性，绕组数量和不对称定位
Boundary-dependent Self-dualities, Winding Numbers and Asymmetrical Localization in non-Hermitian Quasicrystals
论文作者
论文摘要
我们研究了具有非偏置跳跃和复杂的准静脉电势的非温和的Aubry-André-Harper模型，这是典型的非温质准晶体。我们在此模型中介绍了边界依赖性的自偶性，并获得了分析结果，以描述其不对称的安德森本地化和拓扑相变。我们发现，安德森本地化不一定符合拓扑相变，这分别是状态定位和能源拓扑的特征。此外，在局部相位，由于非铁皮皮肤效应，单粒子状态在不对称上定位，并且具有依赖能量的定位长度。我们还讨论了我们在电路中结果的可能检测。
We study a non-Hermitian Aubry-André-Harper model with both nonreciprocal hoppings and complex quasiperiodical potentials, which is a typical non-Hermitian quasicrystal. We introduce boundary-dependent self-dualities in this model and obtain analytical results to describe its Asymmetrical Anderson localization and topological phase transitions. We find that the Anderson localization is not necessarily in accordance with the topological phase transitions, which are characteristics of localization of states and topology of energy spectrum respectively. Furthermore, in the localized phase, single-particle states are asymmetrically localized due to non-Hermitian skin effect and have energy-independent localization lengths. We also discuss possible experimental detections of our results in electric circuits.
