论文标题

从异常的浮雕拓扑拓扑器中切断非热边界

Cutting off the non-Hermitian boundary from an anomalous Floquet topological insulator

论文作者

Höckendorf, Bastian, Alvermann, Andreas, Fehske, Holger

论文摘要

在二维异常的浮子绝缘子中,非铁质边界状态工程可用于完全分开的手性边界状态与ic弱谱中的散装频段。这种频谱分离的边界状态的拓扑特性不再受Hermitian系统的严格体积对应关系的限制。我们表明,这种额外的拓扑自由使人们能够忠实地将连接到浮子绝缘体的边界的拓扑特性转移到通过物理切断从散装边界的物理切断边界获得的非富尔米特浮子链。我们实施了这种情况,以使用荒米式和非弱点边界的异常浮雕绝缘子的简单模型,并讨论我们的构建对于将尺寸连接到一个和两个连接的非富拓扑阶段的实验实现的相关性。

In two-dimensional anomalous Floquet insulators, non-Hermitian boundary state engineering can be used to completely separate chiral boundary states from bulk bands in the quasienergy spectrum. The topological properties of such spectrally separated boundary states are no longer restricted by the strict bulk-boundary correspondence of Hermitian systems. We show that this additional topological freedom enables one to faithfully transfer the topological properties of a boundary attached to a Floquet insulator to a non-Hermitian Floquet chain obtained by physically cutting off the boundary from the bulk. We implement this scenario for a simple model of an anomalous Floquet insulator with Hermitian and non-Hermitian boundaries, and discuss the relevance of our construction for the experimental realization of non-Hermitian topological phases that connect dimensions one and two.

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