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

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Published inNew journal of physics Vol. 21; no. 9; pp. 93029 - 93040
Main Authors Wang, Hai-Xiao, Guo, Guang-Yu, Jiang, Jian-Hua
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 16.09.2019
Subjects
Acoustics
Berry phase
fragile topology
Insulators
Photonic crystals
Physics
topological photonics/acoutics
Topology
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Summary: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 photonic/sonic crystals. We demonstrate that these topological photonic/sonic crystals are topological crystalline insulators with fragile topology, a feature which has been ignored in previous studies. We further discuss the bulk-edge correspondence in these systems with emphasis on symmetry broken on the edges.
Bibliography:NJP-110364.R1
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ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/ab3f71