2017/03/30 by K. Ziegler · 3 citations
Materials Science · Mathematics · Physics and Astronomy · #Berry connection and curvature #Curvature #Dirac (video compression format) #Dirac algebra #Dirac equation #Dirac spinor #Electromagnetic field #Geometric phase #Geometry #Mathematics #Metamaterials and Metasurfaces Applications #Physics #Polarization (electrochemistry) #Quantum Mechanics and Non-Hermitian Physics #Quantum mechanics #Spinor #Spinor field #Topological Materials and Phenomena #Two-body Dirac equations #Vortex #cond-mat.mes-hall
paper · pdf · doi:10.1364/josab.35.000107
published in Journal of the Optical Society of America B 35(1), 107 (Optica Publishing Group) · 8 pages, 5 figures
arxiv created 2017/03/30 · openalex publication_date 2017/12/12 · arxiv updated 2017/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Edge states are studied for the 2D Dirac equation in circular geometry. The properties of the two-component electromagnetic field are discussed in terms of the three-component polarization field, which can form a vortex structure near the Dirac node with a vorticity changing with the sign of the Dirac mass. The Berry curvature of the polarization field is related to the Berry curvature of the Dirac spinor state. This quantity is sensitive to a change of boundary conditions. In particular, it vanishes for a geometry with a single boundary but not for a geometry with two boundaries. This effect is robust against the creation of a step-like edge inside the sample.