Amorphous topological matter: Theory and experiment

¹ Department of Materials Science, University of California - Berkeley, CA 94720, USA
² Materials Science Division, Lawrence Berkeley National Laboratory - Berkeley, CA 94720, USA
³ Department of Physics, KTH Royal Institute of Technology - 106 91 Stockholm, Sweden
⁴ Univ. Grenoble Alpes, CNRS, Grenoble INP, Institut Néel - 38000 Grenoble, France
⁵ Donostia International Physics Center - 20018 Donostia-San Sebastian, Spain

^(b) E-mail: adolfo.grushin@neel.cnrs.fr (corresponding author)

Received: 19 December 2022
Accepted: 9 March 2023

Abstract

Topological phases of matter are ubiquitous in crystals, but less is known about their existence in amorphous systems, that lack long-range order. We review the recent progress made on defining amorphous topological phases, their new phenomenology. We discuss the open questions in the field which promise to significantly enlarge the set of materials and synthetic systems benefiting from the robustness of topological matter.