Amorphous topological matter: Theory and experiment

Topological phases of matter are ubiquitous in crystals, but less is known about their existence amorphous systems, that lack long-range order. In this perspective, we review the recent progress made on theoretically defining topological and new phenomenology they can open. We revisit key experiments suggesting exist both solid-state synthetic systems. finish by discussing open questions field, promises to significantly enlarge set materials systems benefiting from robustness matter.