Recipe for creating an arbitrary number of Floquet chiral edge states
Recipe for creating an arbitrary number of Floquet chiral edge states
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DOI：
10.1103/physrevb.97.245430
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发表时间：
2018-04
影响因子：
3.7
通讯作者：
Longwen Zhou;J. Gong
中科院分区：
文献类型：
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作者：
Longwen Zhou;J. Gong
周期驱动系统的Floquet态具有丰富的拓扑性质。它们中的许多在它们的静态对应物中是不存在的。一个这样的例子是手性边缘状态异常Floquet拓扑绝缘体，其描述需要一个新的拓扑不变量和一种新型的散装边缘对应。在这项工作中，我们提出了一个典型的淬火晶格模型，其两个Floquet带可以周期性地交换他们的陈数，并通过接触在准能量0和$\pi$下的单一系统参数的变化交替。这个过程原则上允许以高度可控的方式产生尽可能多的Floquet手性边缘态。从系统的Floquet散射矩阵中提取了这些边缘态的量子化传输。我们的计划提供的拓扑边缘通道的数量控制的灵活性可以作为一个起点，强大的Floquet运输设备的工程。
Floquet states of periodically driven systems could exhibit rich topological properties. Many of them are absent in their static counterparts. One such example is the chiral edge states in anomalous Floquet topological insulators, whose description requires a new topological invariant and a novel type of bulk-edge correspondence. In this work, we propose a prototypical quenched lattice model, whose two Floquet bands could exchange their Chern numbers periodically and alternatively via touching at quasienergies 0 and $\pi$ under the change of a single system parameter. This process in principle allows the generation of as many Floquet chiral edge states as possible in a highly controllable manner. The quantized transmission of these edge states are extracted from the Floquet scattering matrix of the system. The flexibility in controlling the number of topological edge channels provided by our scheme could serve as a starting point for the engineering of robust Floquet transport devices.