Realization of edge and corner states in photonic crystals with kagome lattices through topological insulator generators

High-order topological insulators can be realized via two-dimensional photonic crystals (PCs) with different lattices including honeycomb, square and kagome lattices. In this paper, we utilize the kagome lattices to build a two-dimensional all-dielectric PCs platform with two kinds of topological insulator generators, obtaining the topological edge states in different frequency bands, and realizing the dual-band single channel waveguide and frequency divider. In addition, we research the origins of the two types of corner states in the combined triangle and parallelogram box-shaped structures, which consist of nontrivial PCs and trivial PCs, realizing the super-imposed corner states and further enhancing the localized energy intensity in the PCs platform. These works have great potential for application in integrated nanophotonic devices.

Automated summary

In this paper, a two-dimensional all-dielectric PCs platform with kagome lattices is utilized to realize topological edge states in different frequency bands, and to achieve dual-band single channel waveguide and frequency divider. Furthermore, the origins of the two types of corner states in combined triangle and parallelogram box-shaped structures are investigated, enhancing the localized energy intensity in the PCs platform. These works have significant potential for application in integrated nanophotonic devices.