Anomalous amorphous topological networks

Topological band theory has guided findings and analysis of various robust crystalline wave platforms. However, amorphism, in the form of nonlocal structural disorder, falls beyond the framework of Bloch theory. Here, we explore the interplay between amorphism and Floquet topological networks. We demonstrate that the anomalous phase can persist at any level of amorphism. The Chern phase, on the other hand, undergoes a trivial Anderson localization at small levels of unstructured disorder, just like topological trivial insulating networks. This confirms the superior robustness of the anomalous phase even in amorphous settings.