Neutron scattering signatures of the 3D hyper-honeycomb Kitaev quantum spin-liquid

Abstract

Motivated by recent synthesis of the hyper-honeycomb material $\beta$-$\mathrm{L}{\mathrm{i}}_2\mathrm{Ir}{\mathrm{O}}_3$, we study the dynamical structure factor (DSF) of the corresponding 3D Kitaev quantum spin-liquid (QSL), whose fractionalised degrees of freedom are Majorana fermions and emergent flux-loops. Properties of this 3D model are known to differ in important ways from those of its 2D counterpart -- it has finite-temperature phase transition, as well as distinct features in Raman response. We show, however, that the qualitative behaviour of the DSF is broadly dimension-independent. Characteristics of the 3D DSF include a response gap even in the gapless QSL phase and an energy dependence deriving from the Majorana fermion density of states. Since the majority of the response is from states containing a single Majorana excitation, our results suggest inelastic neutron scattering as the spectroscopy of choice to illuminate the physics of Majorana fermions in Kitaev QSLs.

arXiv comment5 pages, 5 figures

References in corpus (30)

• Anyons in an exactly solved model and beyond
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Bosonization and Strongly Correlated Systems
• An RVB phase in the triangular lattice quantum dimer model
• $\alpha$-RuCl3: a Spin-Orbit Assisted Mott Insulator on a Honeycomb Lattice
• Relevance of the Heisenberg-Kitaev model for the honeycomb lattice iridates A_2IrO_3
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Scattering Continuum and Possible Fractionalized Excitations in $\alpha$-RuCl${}_3$
• Magnetic order in $\alpha$-RuCl${}_3$: a honeycomb lattice quantum magnet with strong spin-orbit coupling
• Exact results for spin dynamics and fractionization in the Kitaev Model
• Hyper-honeycomb iridate $\beta$-Li2IrO3 as a platform for Kitaev magnetism
• Dynamics of a two-dimensional quantum spin liquid: signatures of emergent Majorana fermions and fluxes
• Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain
• Kitaev magnetism in honeycomb RuCl3 with intermediate spin-orbit coupling
• A new spin-anisotropic harmonic honeycomb iridate
• Anisotropic Ru3+ 4d5 magnetism in the alpha-RuCl3 honeycomb system: susceptibility, specific heat and Zero field NMR
• Vaporization of Kitaev spin liquids
• Exactly solvable Kitaev model in three dimensions
• Non-coplanar and counter-rotating incommensurate magnetic order stabilized by Kitaev interactions in $\gamma$-Li2IrO3
• Raman Scattering Signatures of Kitaev Spin Liquids in A${}_2$ IrO${}_3$ Iridates
• Three dimensional resonating valence bond liquids and their excitations
• Unconventional magnetic order on the hyperhoneycomb Kitaev lattice in $\beta$-Li2IrO3: full solution via magnetic resonant x-ray diffraction
• Dynamics of Fractionalization in Quantum Spin Liquids
• Three dimensional quantum spin liquids in models of harmonic-honeycomb iridates and phase diagram in an infinite-D approximation
• Quantum spin liquid with a Majorana Fermi surface on the three-dimensional hyperoctagon lattice
• Heisenberg-Kitaev model on hyperhoneycomb lattice
• Weyl spin liquids
• Theory of Magnetic Phase Diagrams in Hyperhoneycomb and Harmonic-honeycomb Iridates
• Unified theory of spiral magnetism in the harmonic-honeycomb iridates α, β, γ Li2IrO3
• Theory of Raman response in three-dimensional Kitaev spin liquids: application to $\beta -$ and $\gamma -$Li${}_2$IrO${}_3$ compounds

Cited by in corpus (19)

• A Field Guide to Spin Liquids
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Recent progress on correlated electron systems with strong spin-orbit coupling
• Breakdown of magnetic order in the pressurized Kitaev iridate $\beta$-Li${}_2$IrO${}_3$
• Dynamics of a quantum spin liquid beyond integrability $-$ the Kitaev-Heisenberg-$\Gamma$ model in an augmented parton mean-field theory
• Magnetic structure and excitation spectrum of the hyperhoneycomb Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• Crystalline Kitaev spin liquids
• Temperature evolution of spin dynamics in two- and three-dimensional Kitaev models: Influence of fluctuating gauge fluxes
• Resonant Raman scattering theory for Kitaev models and their Majorana fermion boundary modes
• Probing spinon nodal structures in three-dimensional Kitaev spin liquids
• Observing spin fractionalization in the Kitaev spin liquid via temperature evolution of indirect resonant inelastic x-ray scattering
• Majorana spectroscopy of 3D Kitaev spin-liquids
• Dynamics of a j=3/2 quantum spin liquid
• Dynamics of a two-dimensional quantum spin-orbital liquid: spectroscopic signatures of fermionic magnons
• Magnetoelectric generation of a Majorana-Fermi surface in Kitaev's honeycomb model
• Vacancies in the Kitaev quantum spin liquids on the 3D hyper-honeycomb lattice
• Raman scattering in correlated thin films as a probe of chargeless surface states
• Magnetic Excitations and Interactions in the Kitaev Hyperhoneycomb Iridate $\beta$-Li${}_2$IrO${}_3$
• Local spin dynamics in geometrically frustrated Mo pyrochlore antiferromagnet Lu${}_2$Mo${}_2$O${}_{5-y}$N${}_2$