论文标题
混合高阶拓扑:浮子散装引起的边界非铁皮皮肤效应
Mixed higher-order topology: boundary non-Hermitian skin effect induced by a Floquet bulk
论文作者
论文摘要
我们表明,异常的Floquet拓扑绝缘子在其边界上产生了固有的非热拓扑。结果,从时间进化的操作员中取出边界跳,阻止了手性边缘模式的繁殖,从而导致非富甲皮肤效应。但是,这并不是在浮雕的Chern绝缘子中发生的,但是,边界模式继续传播。非富米对边界的效应是散装浮雕操作员非平凡拓扑的结果,我们通过设计一个真实的空间拓扑不变性来显示。我们的工作介绍了一种“混合”高阶拓扑的形式,为定期驱动系统的研究和非热性研究提供了桥梁。它表明,已在广泛的实验中已经证明的定期驾驶可用于产生非炎性皮肤效应。
We show that anomalous Floquet topological insulators generate intrinsic, non-Hermitian topology on their boundary. As a consequence, removing a boundary hopping from the time-evolution operator stops the propagation of chiral edge modes, leading to a non-Hermitian skin effect. This does not occur in Floquet Chern insulators, however, in which boundary modes continue propagating. The non-Hermitian skin effect on the boundary is a consequence of the nontrivial topology of the bulk Floquet operator, which we show by designing a real-space topological invariant. Our work introduces a form of `mixed' higher-order topology, providing a bridge between research on periodically-driven systems and the study of non-Hermiticity. It suggests that periodic driving, which has already been demonstrated in a wide range of experiments, may be used to generate non-Hermitian skin effects.