Topological solitons in high-order nonlinear material with Moiré photonic lattices

In this work, we employ Moiré lattices generated in a high-order nonlinear material to investigate the existence of topological solitons under diverse geometries, which are controlled by the twisting angle of sublattices. The formation of solitons in both commensurate and incommensurate Moiré lattice configurations allows us to explore deeper into the impact of geometric transitions on soliton stability and localization.