论文标题
非热式系统中的绕组数字和广义移动边缘
Winding Numbers and Generalized Mobility Edges in Non-Hermitian Systems
论文作者
论文摘要
具有自动对称性的Aubry-André-Harper（AAH）模型在研究安德森本地化方面起着重要作用。在这里，我们发现一个自偶对称性对称性，确定了非弱者AAH模型中扩展状态和局部状态之间的量子相变，并表明这些状态的特征力为两种类型的绕组数。通过构建和研究非官方广义AAH模型，我们进一步概括了迁移率边缘的概念，该概念将无序系统能量谱中的本地化和扩展状态分开与非富尔米特式的案例，并发现，即使在开放的范围内，也可以在局部范围内进行拓扑，并在开放的边界中发现了拓平的拓扑。最后，我们提出了一个实验方案，以用电路实现这些模型。
The Aubry-André-Harper (AAH) model with a self-dual symmetry plays an important role in studying the Anderson localization. Here we find a self-dual symmetry determining the quantum phase transition between extended and localized states in a non-Hermitian AAH model and show that the eigenenergies of these states are characterized by two types of winding numbers. By constructing and studying a non-Hermitian generalized AAH model, we further generalize the notion of the mobility edge, which separates the localized and extended states in the energy spectrum of disordered systems, to the non-Hermitian case and find that the generalized mobility edge is of a topological nature even in the open boundary geometry in the sense that the energies of localized and extended states exhibit distinct topological structures in the complex energy plane. Finally, we propose an experimental scheme to realize these models with electric circuits.
