Zhou Longwen, Zhang Da-Jian
College of Physics and Optoelectronic Engineering, Ocean University of China, Qingdao 266100, China.
Key Laboratory of Optics and Optoelectronics, Qingdao 266100, China.
Entropy (Basel). 2023 Sep 29;25(10):1401. doi: 10.3390/e25101401.
The past few years have witnessed a surge of interest in non-Hermitian Floquet topological matter due to its exotic properties resulting from the interplay between driving fields and non-Hermiticity. The present review sums up our studies on non-Hermitian Floquet topological matter in one and two spatial dimensions. We first give a bird's-eye view of the literature for clarifying the physical significance of non-Hermitian Floquet systems. We then introduce, in a pedagogical manner, a number of useful tools tailored for the study of non-Hermitian Floquet systems and their topological properties. With the aid of these tools, we present typical examples of non-Hermitian Floquet topological insulators, superconductors, and quasicrystals, with a focus on their topological invariants, bulk-edge correspondences, non-Hermitian skin effects, dynamical properties, and localization transitions. We conclude this review by summarizing our main findings and presenting our vision of future directions.
在过去几年中，非厄米弗洛凯拓扑物质引发了人们极大的兴趣，这是由于驱动场与非厄米性之间的相互作用产生了奇特的性质。本综述总结了我们在一维和二维空间中对非厄米弗洛凯拓扑物质的研究。我们首先对相关文献进行概述，以阐明非厄米弗洛凯系统的物理意义。然后，我们以一种便于理解的方式介绍了一些专门用于研究非厄米弗洛凯系统及其拓扑性质的有用工具。借助这些工具，我们给出了非厄米弗洛凯拓扑绝缘体、超导体和准晶体的典型例子，重点关注它们的拓扑不变量、体边对应关系、非厄米趋肤效应、动力学性质和局域化转变。我们通过总结主要发现并展望未来方向来结束本综述。
