2020/05/12 by Taku Kimura, Shoji Yamamoto
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Algebraic structures and combinatorial models #Combinatorics #Geometry #Group (periodic table) #Hadron #Irreducible representation #Lattice (music) #Mathematics #Parton #Physics #Physics of Superconductivity and Magnetism #Point group #Polyhedron #Quantum mechanics #Symmetry group #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.101.214411
published as Phys. Rev. B 101, 214411 (2020) · 23 pages including 5 figures and 10 tables, to be published in Phys. Rev. B
arxiv created 2020/05/12 · openalex publication_date 2020/06/05 · arxiv updated 2020/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Projective symmetry groups are applied to Raman observations of the Kitaev quantum spin liquids in spherical lattice geometries realized by Platonic and Archimedean polyhedra. Parton single excitations in Kitaev spin polyhedra are characterized by double-valued irreducible representations of their belonging projective symmetry groups, whereas parton geminate excitations relevant to Raman scattering are decomposed into single-valued irreducible representations of the corresponding point symmetry groups. We combine a standard point symmetry group analysis of the Loudon-Fleury vertices and an elaborate projective symmetry group analysis of itinerant spinons against the ground gauge fields to reveal hidden selection rules for Raman scattering in ℤ2 spin liquids.