2022/08/10 by Zhi‐Kang Lin, Zhi-Kang Lin, Lin, Zhi-Kang +14
Materials Science · Mathematics · Physics and Astronomy · #Applied Physics (physics.app-ph) #FOS: Physical sciences #Graphene research and applications #Lattice (music) #Materials Science (cond-mat.mtrl-sci) #Mathematics #Optics (physics.optics) #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Strongly Correlated Electrons (cond-mat.str-el) #Topological Materials and Phenomena #Topological entropy in physics #Topological insulator #Topological quantum number #Topology (electrical circuits) #cond-mat.mtrl-sci #cond-mat.str-el #physics.app-ph #physics.optics
paper · pdf · doi:10.48550/arxiv.2208.05082
published in arXiv (Cornell University) (Cornell University) · A perspective (short review) on topological phenomena induced by topological defects
arxiv created 2022/08/10 · openalex publication_date 2022/08/10 · arxiv updated 2022/08/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.