a, b Particle patterns a and the corresponding photonic lattices b with different structural correlations. The DI = 0 case is a triangular lattice. The glass-like lattices with strong short-range order have DI = 0.1 and 0.45. The liquid-like lattice with weak short-range order possesses DI = 0.8. c Pair correlation function g(r) for the different lattices. d Numerically calculated localization lengths (black curves) and bulk transmission (red curves) for the photonic lattices. The orange regions are the frequency windows in which topological edge states can be observed. The calculation details can be found in the Supplementary Information Note 3
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