摘要: There are two prominent applications of the mathematical concept of topology
to the physics of materials: band topology, which classifies different
topological insulators and semimetals, and topological defects that represent
immutable deviations of a solid lattice from its ideal crystalline form. While
these two classes of topological phenomena have generally been treated as
separate topics, recent experimental advancements have begun to probe their
intricate and surprising interactions, in real materials as well as synthetic
metamaterials. Topological lattice defects in topological materials offer a
platform to explore a diverse range of novel phenomena, such as topological
pumping via topological defects, embedded topological phases, synthetic
dimensions, and non-Hermitian skin effects. In this Perspective, we survey the
developments in this rapidly moving field, and give an outlook of its impact on
materials science and applications.