Band topology in classical waves: Wilson-loop approach to topological numbers and fragile topology

• Published in: New journal of physics Vol. 21; no. 9; pp. 93029 - 93040
• Main Authors: Wang, Hai-Xiao, Guo, Guang-Yu, Jiang, Jian-Hua
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 16.09.2019
• Subjects: Acoustics; Berry phase; fragile topology; Insulators; Photonic crystals; Physics; topological photonics/acoutics; Topology

The rapid development of topological photonics and acoustics calls for accurate understanding of band topology in classical waves, which is not yet achieved in many situations. Here, we present the Wilson-loop approach for exact numerical calculation of the topological invariants for several photoni...