Abstract-Photonic amorphous topological insulator

Peiheng Zhou, Gui-Geng Liu, Xin Ren, Yihao Yang, Haoran Xue, Lei Bi, Longjiang Deng, Yidong Chong, Baile Zhang,

Transition of photonic lattices with increasing disorder

https://www.nature.com/articles/s41377-020-00368-7#:~:text=Photonic%20topological%20insulators%20(PTIs)1,insulator%20materials%20do%20for%20electrons.

The current understanding of topological insulators and their classical wave analogs, such as photonic topological insulators, is mainly based on topological band theory. However, standard band theory does not apply to amorphous phases of matter, which are formed by non-crystalline lattices with no long-range positional order but only short-range order, exhibiting unique phenomena such as the glass-to-liquid transition. Here, we experimentally investigate amorphous variants of a Chern number-based photonic topological insulator. By tuning the disorder strength in the lattice, we demonstrate that photonic topological edge states can persist into the amorphous regime prior to the glass-to-liquid transition. After the transition to a liquid-like lattice configuration, the signatures of topological edge states disappear. This interplay between topology and short-range order in amorphous lattices paves the way for new classes of non-crystalline topological photonic bandgap materials.