2021-05-31 Seminar Report

On May 26th, Dr. Rui-Xing Zhang from the University of Maryland gave a talk about the classification of anomalous floquet higher-order topological insulators. He started with a pedagogical introduction to floquet topological insulators, which possess robust boundary states. Notably, there are two types of non-trivial floquet topology. 1. The floquet bands inherit the topology of the static bands. 2. The non-trivial physics of the anomalous floquet topological insulators stems from dynamical phase bands. Dr. Zhang extended the idea of the second type to higher-order topological insulators, which have robust corner states or edge ones. Dr. Zhang specifically discussed the anomalous floquet topology for chiral symmetric systems preserving C2 rotation symmetry. Using this example, he generalized the classification of the topological phases to various point groups. We thank Dr. Zhang for giving this wonderful talk.

Reported by Ching-Kai Chiu

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