Realization of topological edge states in Su-Schrieffer-Heeger model composed of split ring resonators

YuHan Chang^1*, Vanna Chrismas Silalahi¹, Raul A. Robles Robles², Cen-Shawn Wu³, Ray-Kuang Lee², Watson Kuo¹

¹Physics, National Chung Hsing University, Taichung, Taiwan
²Photonics Technologies, National Tsing Hua University, Hsinchu, Taiwan
³Physics, National Chang-Hua University of Education, ChangHua, Taiwan

* Presenter:YuHan Chang, email:bread30724@gmail.com

One-dimensional split-ring resonators (SRRs) array composed by split ring resonators and complementary split ring resonators is proposed and analyzed experimentally. The split-ring resonator which is kind of left-handed metamaterials can be engineered the coupling strengths by changing the ring orientation. The SRRs array band structure can be analyzed by using the Su-Schrieffer-Heeger (SSH) model with controllable coupling strengths. The ring orientation may greatly change the asymmetry in intra-cell and inter-cell coupling strengths. Therefore, the engineer photonics band gap as well as generate non-trivial topology. The microwave propagation has a negative phase velocity and a very slow group velocity, down to ~0.01 of light speed in free space. These photonic gap properties are studied by modeling and simulations.

Keywords: edge states, split ring resonators, metamaterial, photonics crystal