Physical Review Research (Nov 2020)
Topological states in disordered arrays of dielectric nanoparticles
Abstract
We study the interplay between disorder and topology for localized edge states of light in zigzag arrays of Mie-resonant dielectric nanoparticles. We characterize the topological properties of the array by the winding number that depends on both zigzag angle and spacing between nanoparticles. For equal-spacing nanoparticle arrays, the system may have two values of the winding number, ν=0 or ν=1, and it demonstrates localization at the edges even in the presence of disorder, as revealed by experimental observations for finite-length ideal and randomized nanoparticle structures. For staggered-spacing nanoparticle arrays, the system possesses richer topological phases characterized by the winding numbers ν=0, ν=1, or ν=2, which depend on the averaged zigzag angle and the strength of disorder. In a sharp contrast to the equal-spacing zigzag arrays, the staggered-spacing nanoparticle arrays support two types of topological phase transitions induced by the angle disorder, (i) ν=0↔ν=1 and (ii) ν=1↔ν=2. More importantly, the spectrum of the staggered-spacing nanoparticle arrays may remain gapped even in the case of a strong disorder.