2008/03/31 by R. A. Sepkhanov, Johan Nilsson, C. W. J. Beenakker · 1 citation
Physics and Astronomy · #Photonic Crystals and Applications #Quantum Mechanics and Non-Hermitian Physics #Topological Materials and Phenomena #cond-mat.other #physics.optics
paper · pdf · doi:10.1103/physrevb.78.045122
published as Phys. Rev. B 78, 045122 (2008) · 6 pages, 6 figures; v2: section added, figure added
arxiv created 2008/05/21 · openalex publication_date 2008/07/29 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We propose a method to detect the geometric phase produced by the Dirac-type band structure of a triangular-lattice photonic crystal. The spectrum is known to have a conical singularity (=Dirac point) with a pair of nearly degenerate modes near that singularity described by a spin-(1)/(2) degree of freedom (=pseudospin). The geometric Berry phase acquired upon rotation of the pseudospin is in general obscured by a large and unspecified dynamical phase. We use the analogy with graphene to show how complementary media can eliminate the dynamical phase. A transmission minimum results as a direct consequence of the geometric phase shift of \ensuremathπ acquired by rotation of the pseudospin over 360\ifmmode^∘\else\textdegree\fi around a perpendicular axis. We support our analytical theory based on the Dirac equation by a numerical solution of the full Maxwell equations.