Sound attenuation in the hyperhoneycomb Kitaev spin liquid

Abstract

In recent years, it has been shown that the phonon dynamics may serve as an indirect probe of fractionalization of spin degrees of freedom. Here we propose that the sound attenuation measurements allows for the characterization and identification of the Kitaev quantum spin liquid on the hyperhoneycomb lattice, which is particularly interesting since the strong Kitaev interaction was observed in the the hyperhoneycomb magnet $\beta$-Li${}_2$IrO${}_3$. To this end we consider the low-temperature scattering between acoustic phonons and gapless Majorana fermions with nodal-line band structure. We find that the sound attenuation has a characteristic angular dependence, which is explicitly shown for the high-symmetry planes at temperatures below the flux gap energy.

arXiv comment16 pages, 7 figures

References in corpus (60)

• 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
• Quantum Spin Liquids
• Quantum Spin Liquid States
• Quantum Spin Liquids
• Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_2$IrO${}_3$
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Kitaev quantum spin liquid - concept and materialization
• A Field Guide to Spin Liquids
• Scattering Continuum and Possible Fractionalized Excitations in $\alpha$-RuCl${}_3$
• The Flux-Phase of the Half-Filled Band
• 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
• Hunting Majorana Fermions in Kitaev Magnets
• Vaporization of Kitaev spin liquids
• Exactly solvable Kitaev model in three dimensions
• Large field-induced gap of Kitaev-Heisenberg paramagnons in $\alpha$-RuCl${}_3$
• Adaptive Multidimensional Integration: VEGAS Enhanced
• Doping a spin-orbit Mott Insulator: Topological Superconductivity from the Kitaev-Heisenberg Model and possible application to (Na2/Li2)IrO3
• 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
• Dynamics of Fractionalization in Quantum Spin Liquids
• Classification of gapless Z2 spin liquids in three-dimensional Kitaev models
• Relation between Kitaev magnetism and structure in $\alpha$-RuCl${}_3$
• Magnon bound states vs. anyonic Majorana excitations in the Kitaev honeycomb magnet $\alpha$-RuCl${}_3$
• Quantum spin liquid with a Majorana Fermi surface on the three-dimensional hyperoctagon lattice
• Weyl spin liquids
• Resonant inelastic X-ray scattering response of the Kitaev honeycomb model
• Theory of Raman response in three-dimensional Kitaev spin liquids: application to $\beta -$ and $\gamma -$Li${}_2$IrO${}_3$ compounds
• Phonon dynamics in the Kitaev spin liquid
• Field-induced intertwined orders in 3D Mott-Kitaev honeycomb $\beta$-Li2IrO3
• Magnetic structure and excitation spectrum of the hyperhoneycomb Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• Magnetoelastic coupling and effects of uniaxial strain in $\alpha$-RuCl${}_3$ from first principles
• Finite-Temperature Phase Transition to a Quantum Spin Liquid in a Three-Dimensional Kitaev Model on a Hyperhoneycomb Lattice
• Giant Phonon Anomalies in the Proximate Kitaev Quantum Spin Liquid $\alpha$-RuCl${}_3$
• Phonon renormalization in the Kitaev quantum spin liquid
• Thermodynamic classification of three-dimensional Kitaev spin liquids
• Temperature evolution of spin dynamics in two- and three-dimensional Kitaev models: Influence of fluctuating gauge fluxes
• Polarization-resolved Raman spectroscopy of α-RuCl3 and evidence of room temperature two-dimensional magnetic scattering
• Spinon Phonon Interaction and Ultrasonic Attenuation in Quantum Spin Liquids
• Resonant Raman scattering theory for Kitaev models and their Majorana fermion boundary modes
• Probing spinon nodal structures in three-dimensional Kitaev spin liquids
• Investigation of the magnetoelastic coupling anisotropy in the Kitaev material $\alpha$-RuCl${}_3$
• 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
• Probing signatures of fractionalization in candidate quantum spin liquid Cu2IrO3 via anomalous Raman scattering
• Temperature evolution of the phonon dynamics in the Kitaev spin liquid
• Spinon-Phonon Interaction in Algebraic Spin Liquids
• Further insights into the thermodynamics of the Kitaev honeycomb model
• Thermal Hall Effect in the Kitaev-Heisenberg System with Spin-Phonon Coupling
• Magnon-spinon dichotomy in the Kitaev hyperhoneycomb $\beta$-Li${}_2$IrO${}_3$
• Footprints of the Kitaev spin liquid in the Fano lineshapes of the Raman active optical phonons
• Acoustic phonon dispersion of $\alpha$-RuCl${}_3$
• Magnetic Excitations and Interactions in the Kitaev Hyperhoneycomb Iridate $\beta$-Li${}_2$IrO${}_3$
• Unconventional magnetic field response of the hyperhoneycomb Kitaev magnet $\beta -{\text{Li}}_2{\text{IrO}}_3$
• Symmetry-protected topological magnons in three dimensional Kitaev materials
• Elastic constants and ultrasound attenuation in the spin-liquid phase of Cs${}_2$CuCl${}_4$
• Signatures of non-Loudon-Fleury Raman scattering in the Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• Many-body theory of magneto-elasticity in one dimension
• Non-Loudon-Fleury Raman scattering in spin-orbit coupled Mott insulators

Cited by in corpus (3)

• Phonon Dynamics in the Generalized Kitaev Spin Liquid
• Phonon Dynamics in the Chiral Kitaev Spin Liquid
• Signatures of fractionalization in the optical phonons of hyperhoneycomb Kitaev magnet $\beta$-Li${}_2$IrO${}_3$