Topology in quasicrystals
arXiv:2012.03644
Abstract
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 perturbations. In this review, we explore such a topological classification for quasiperiodic systems, and detail recent experimental activity in the field.
14 pages, 6 figures, contribution to feature issue "Photonic Topological Materials" in Optical Materials Express, comments are welcome
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