Raman Scattering Polarization and Single Spinon Identification in Two-Dimensional Kitaev Quantum Spin Liquids

Abstract

Perfect deporalization of the Loudon-Fleury inelastic visible-light scattering in the Kitaev honeycomb model is well known. Though it happens in Heisenberg Kagome and triangular antiferromagnets as well, yet we prove it to be of geometric origin rather than peculiar to quantum spin liquids. A Kitaev spin liquid in the square planar geometry indeed exhibits polarized Raman spectra containing defferent symmetry species, each brought by symmetry-compatible spinon geminate excitations, i.e. arising from symmetry-compatible direct-product representations made of double-valued irreducible representations of mediating-spinon-belonging gauged $\mathbf{k}$-point symmetry groups. We combine a standard point-symmetry-group analysis of the Raman vertex in the real space and an elaborate projective-symmetry-group analysis of Raman-scattering-mediating Majorana spinons in the reciprocal space to identify emergent spinons singly.

13 pages including Supplemental Material, 8 figures

References in corpus (35)

• Anyons in an exactly solved model and beyond
• Quantum Spin Liquids
• Quantum Orders and Symmetric Spin Liquids
• Generic spin model for the honeycomb iridates beyond the Kitaev limit
• Inelastic Light Scattering From Correlated Electrons
• A Field Guide to Spin Liquids
• An exact chiral spin liquid with non-Abelian anyons
• Spin Liquid States on the Triangular and Kagome Lattices: A Projective Symmetry Group Analysis of Schwinger Boson States
• Hunting Majorana Fermions in Kitaev Magnets
• Raman Scattering Signatures of Kitaev Spin Liquids in A${}_2$ IrO${}_3$ Iridates
• Classification of gapless Z2 spin liquids in three-dimensional Kitaev models
• Dynamics of the Kitaev-Heisenberg Model
• Algebraic spin liquid in an exactly solvable spin model
• Site dilution in Kitaev's honeycomb model
• Physical states and finite-size effects in Kitaev's honeycomb model: Bond disorder, spin excitations, and NMR lineshape
• Physical solutions of the Kitaev honeycomb model
• Mosaic spin models with topological order
• Quantum spin liquid at finite temperature: proximate dynamics and persistent typicality
• Raman signature of the U(1) Dirac spin-liquid state in spin-1/2 kagome system
• Theory of Raman response in three-dimensional Kitaev spin liquids: application to $\beta -$ and $\gamma -$Li${}_2$IrO${}_3$ compounds
• Unpaired Majorana modes on dislocations and string defects in Kitaev's honeycomb model
• Doping a topological quantum spin liquid: slow holes in the Kitaev honeycomb model
• Quantum Dimer Model on the triangular lattice: Semiclassical and variational approaches to vison dispersion and condensation
• Thermodynamics of Chiral Spin Liquids with Abelian and Non-Abelian Anyons
• How to detect weak emergent broken-symmetries of the Kagome antiferromagnet from Raman spectroscopy
• Raman scattering in a Heisenberg {\boldmath $S=1/2$} antiferromagnet on the triangular lattice
• Theory of a quantum spin liquid in hydrogen-intercalated honeycomb iridate, H3LiIr2O6
• Interlayer Coupling Effect on a Bilayer Kitaev Model
• Resonant Raman scattering theory for Kitaev models and their Majorana fermion boundary modes
• Vison-Majorana complex zero-energy resonance in Kitaev's spin liquid
• Raman scattering for triangular lattices spin-1/2 Heisenberg antiferromagnets
• Majorana Landau Level Raman Spectroscopy
• Raman scattering in correlated thin films as a probe of chargeless surface states
• Projective symmetry of partons in Kitaev's honeycomb model
• Ground-state properties of a Peierls-Hubbard triangular prism

Cited by in corpus (6)

• Projective-symmetry-group analysis of inelastic light scattering in Kitaev spin balls
• Dynamic structure factor of the antiferromagnetic Kitaev model in large magnetic fields
• Thermal features of Heisenberg antiferromagnets on edge- versus corner-sharing triangular-based lattices: A message from spin waves
• Polarized Raman Response of Two-Dimensional Quasiperiodic Antiferromagnets: Configuration-Interaction versus Green's Function Approaches
• Topological Characterization of Kitaev Spin Nanoribbons with Ordered Flux Configurations
• Raman Characterization of Two-Dimensional Quasiperiodic Antiferromagnets on Various Lattices: Spin-Orbit Mechanism