Probing spinon nodal structures in three-dimensional Kitaev spin liquids

Abstract

We propose that resonant inelastic X-ray scattering (RIXS) is an effective probe of the fractionalized excitations in three-dimensional (3D) Kitaev spin liquids. While the non-spin-conserving RIXS responses are dominated by the gauge-flux excitations and reproduce the inelastic-neutron-scattering response, the spin-conserving (SC) RIXS response picks up the Majorana-fermion excitations and detects whether they are gapless at Weyl points, nodal lines, or Fermi surfaces. As a signature of symmetry fractionalization, the SC RIXS response is suppressed around the $\Gamma$ point. On a technical level, we calculate the exact SC RIXS responses of the Kitaev models on the hyperhoneycomb, stripyhoneycomb, hyperhexagon, and hyperoctagon lattices, arguing that our main results also apply to generic 3D Kitaev spin liquids beyond these exactly solvable models.

arXiv comment5+5 pages, 3+4 figures

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• Quantum Magnetism in Minerals
• Quantum spin liquid at finite temperature: proximate dynamics and persistent typicality
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• Magnetic structure and excitation spectrum of the hyperhoneycomb Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• Crystalline Kitaev spin liquids
• Exploring Quantum Materials with Resonant Inelastic X-Ray Scattering
• Vison Crystals in an Extended Kitaev Model on the Honeycomb Lattice
• THz excitations in α-RuCl3: Majorana fermions, rigid-plane shear and compression modes
• Observing spin fractionalization in the Kitaev spin liquid via temperature evolution of indirect resonant inelastic x-ray scattering
• Spinon magnetic resonance of quantum spin liquids
• Temperature evolution of the phonon dynamics in the Kitaev spin liquid
• Dynamics of a two-dimensional quantum spin-orbital liquid: spectroscopic signatures of fermionic magnons
• Further insights into the thermodynamics of the Kitaev honeycomb model
• Magnon-spinon dichotomy in the Kitaev hyperhoneycomb $\beta$-Li${}_2$IrO${}_3$
• Vison crystals, chiral and crystalline phases in the Yao-Lee model
• Classification and properties of quantum spin liquids on the hyperhoneycomb lattice
• Phonon Dynamics in the Generalized Kitaev Spin Liquid
• Sound attenuation in the hyperhoneycomb Kitaev spin liquid
• Signatures of fractionalization in the optical phonons of hyperhoneycomb Kitaev magnet $\beta$-Li${}_2$IrO${}_3$