Topology in quasicrystals [Invited]

Topological phases of matter have sparked an immense amount of activity in recent decades. Topological materials are classified by topological invariants that act as a non-local order parameter for any symmetry and condition. As a result, they exhibit quantized bulk and boundary observable phenomena, motivating various applications that are robust to local disorder and imperfections. In this review, we explore such a topological classification for quasiperiodic systems, and detail recent experimental activity using photonic metamaterials.

Automated summary

The study of topological phases of matter has sparked significant research activity in recent decades. Topological materials are classified based on topological invariants, exhibiting quantized phenomena and various applications. Recent experimental activities have utilized photonic metamaterials.