2016/07/31 by Shuhei Oono, Toshikaze Kariyado, Yasuhiro Hatsugai · 20 citations
Mathematics · Physics and Astronomy · #Brillouin zone #Combinatorics #Computer science #Condensed matter physics #Geometry #Mathematics #Photonic Crystals and Applications #Photorefractive and Nonlinear Optics #Physics #Point reflection #Section (typography) #Theoretical physics #Topological Materials and Phenomena #Topology (electrical circuits) #cond-mat.mes-hall #physics.optics
paper · pdf · doi:10.1103/physrevb.94.125125
published in Physical review. B./Physical review. B 94(12) (American Physical Society)
arxiv created 2016/09/14 · openalex publication_date 2016/09/14 · arxiv updated 2016/09/15 · openalex created_date 2016/09/30 · openalex updated_date 2026/08/05
Slicing the 3D Brillouin zone into 2D as a dimensional reduction makes the topological structure of the 3D Weyl point clear as a topological critical point. The Chern number of the sliced 2D system (section Chern number) changes discontinuously at the gap-closing momentum that guarantees topological stability of the Weyl point. This section Chern number is just a mathematical tool and cannot be directly measured experimentally. However, propagating edge modes of the 3D system with boundaries are necessarily momentum selective, associated with the section Chern number. This is a direct consequence of the bulk-edge correspondence. Using a localized basis with/without boundaries, the authors have demonstrated this here in a 3D helical photonic crystal without inversion symmetry