Direct observation of corner states in second-order topological photonic crystal slabs
Xiao-Dong Chen, Wei-Min Deng, Fu-Long Shi, Fu-Li Zhao, Min Chen, and, Jian-Wen Dong

TL;DR
This paper reports the direct observation of corner states in second-order topological photonic crystal slabs, demonstrating topological transitions and in-gap states using near-field measurements, advancing the understanding of higher-order topological phases in photonics.
Contribution
It provides the first direct experimental observation of corner states in 2D topological photonic crystals based on the SSH model, highlighting the role of edge polarization.
Findings
Observation of in-gap corner and edge states in microwave photonic crystals.
Demonstration of topological transition via tuning intra-cell distances.
Confirmation that corner states originate from edge dipolar polarization.
Abstract
Recently, higher-order topological phases that do not obey the usual bulk-edge correspondence principle have been introduced in electronic insulators and brought into classical systems, featuring with in-gap corner/hinge states. So far, second-order topological insulators have been realized in mechanical metamaterials, microwave circuit, topolectrical circuit and acoustic metamaterials. Here, using near-field scanning measurements, we show the direct observation of corner states in second-order topological photonic crystal (PC) slabs consisting of periodic dielectric rods on a perfect electric conductor (PEC). Based on the generalized two-dimensional (2D) Su-Schrieffer-Heeger (SSH) model, we show that the emergence of corner states roots in the nonzero edge dipolar polarization instead of the nonzero bulk quadrupole polarization. We demonstrate the topological transition of 2D Zak…
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