Phonon renormalization in the Kitaev quantum spin liquid

Abstract

We study the self-energy of phonons, magnetoelastically coupled to the two-dimensional Kitaev spin-model on the honeycomb lattice. Fractionalization of magnetic moments into mobile Majorana matter and a static ${\mathbb{Z}}_2$ gauge field lead to a continuum of relaxation processes comprising two channels. Thermal flux excitations, which act as an emergent disorder, strongly affect the phonon renormalization. Above the flux proliferation temperature, the dispersion of a narrow quasiparticle-hole channel is suppressed in favor of broad and only weakly momentum dependent features, covering large spectral ranges. Our analysis is based on complementary calculations in the low-temperature homogeneous gauge and a mean-field treatment of thermal gauge fluctuations, valid at intermediate and high temperatures.

arXiv comment7 pages, 4 figures

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• Temperature evolution of the phonon dynamics in the Kitaev spin liquid
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• Further insights into the thermodynamics of the Kitaev honeycomb model
• Thermal Hall Effect in the Kitaev-Heisenberg System with Spin-Phonon Coupling
• Subdiffusive dynamics and critical quantum correlations in a disorder-free localized Kitaev honeycomb model out of equilibrium
• Footprints of the Kitaev spin liquid in the Fano lineshapes of the Raman active optical phonons
• Ingredients for Generalized Models of $\kappa$-Phase Organic Charge-Transfer Salts: A Review
• Effect of topology on quasi-particle interactions in the Weyl semimetal WP${}_2$
• Exceptional dynamics of interacting spin liquids
• Fractional Spin fluctuations and quantum liquid signature in Gd2ZnIrO6
• Phonon Dynamics in the Generalized Kitaev Spin Liquid
• Hydrostatic pressure effect on Co-based honeycomb magnet BaCo2(AsO4)2
• Extended Quantum Spin Liquid with Spinon-like Excitations in an Anisotropic Kitaev-Gamma Model
• Phonon Dynamics in the Chiral Kitaev Spin Liquid
• Sound attenuation in the hyperhoneycomb Kitaev spin liquid
• Finite-momentum energy dynamics in a Kitaev magnet
• Discrete Time Crystal Phase of Higher Dimensional Integrable Models
• Signatures of fractionalization in the optical phonons of hyperhoneycomb Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• Spin-phonon coupling and thermal Hall effect in the Kitaev model
• Magnetostriction in the $J$-$K$-$\Gamma$ model: Application of the numerical linked cluster expansion
• The Role of the Third Dimension in Searching Majorana Fermions in $\alpha$-RuCl${}_3$ via Phonons
• Phonon anomalies and critical scaling in the spin-$1/2$ trimer chain Na${}_2$Cu${}_3$Ge${}_4$O${}_{12}$
• Emergent spacetime supersymmetry at 2D fractionalized quantum criticality