Dynamics of a quantum spin liquid beyond integrability $-$ the Kitaev-Heisenberg-$\Gamma$ model in an augmented parton mean-field theory

Abstract

We present an augmented parton mean-field theory which (i) reproduces the $exact$ ground state, spectrum, and dynamics of the quantum spin liquid phase of Kitaev's honeycomb model; and (ii) is amenable to the inclusion of integrability breaking terms, allowing a perturbation theory from a controlled starting point. Thus, we exemplarily study dynamical spin correlations of the honeycomb Kitaev quantum spin liquid within the $K-J-\Gamma$ model which includes Heisenberg and symmetric-anisotropic (pseudo-dipolar) interactions. This allows us to trace changes of the correlations in the regime of slowly moving fluxes, where the theory captures the dominant deviations when integrability is lost. These include an asymmetric shift together with a broadening of the dominant peak in the response as a function of frequency; the generation of further-neighbour correlations and their structure in real- and spin-space; and a resulting loss of an approximate rotational symmetry of the structure factor in reciprocal space. We discuss the limitations of this approach, and also view the neutron scattering experiments on the putative proximate quantum spin liquid material, $\alpha$-RuCl${}_3$, in the light of the results from this extended parton theory.

15 pages, 9 figures

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• Beyond Kitaev physics in strong spin-orbit coupled magnets
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• Anomalous Quantum Oscillations in a Heterostructure of Graphene on a Proximate Quantum Spin Liquid
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• Probing signatures of fractionalization in candidate quantum spin liquid Cu2IrO3 via anomalous Raman scattering
• Dynamics of a two-dimensional quantum spin-orbital liquid: spectroscopic signatures of fermionic magnons
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• Quantum liquids of the S=3/2 Kitaev honeycomb and related Kugel-Khomskii models
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• Probing quantum spin liquids in equilibrium using the inverse spin Hall effect
• Spin-$S$ Kitaev-Heisenberg model on the honeycomb lattice: A high-order treatment via the many-body coupled cluster method
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• Topological Nematic Phase Transition in Kitaev Magnets Under Applied Magnetic Fields
• Phonon Dynamics in the Generalized Kitaev Spin Liquid
• Dynamics of fractionalized mean-field theories: consequences for Kitaev materials
• Confinement transition in a Kitaev-like honeycomb model with bond anisotropy
• Kitaev-Heisenberg model on the star lattice: From chiral Majorana fermions to chiral triplons
• Dynamical response theory of interacting Majorana fermions and its application to generic Kitaev quantum spin liquids in a field
• Majorana Fermion Mean-Field Theories of Kitaev Quantum Spin Liquids
• Gapless excitations in non-Abelian Kitaev spin liquids with line defects
• Gauge Field Dynamics in Multilayer Kitaev Spin Liquids
• Projective-symmetry-group analysis of inelastic light scattering in Kitaev spin balls
• Phonon Dynamics in the Chiral Kitaev Spin Liquid
• Nature of Topological Phase Transition of Kitaev Quantum Spin Liquids
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• Continuous phase transition from a chiral spin state to collinear magnetic order in a zigzag chain with Kitaev interactions
• Pairing tendencies in the doped Kitaev-Heisenberg model
• Jordan-Wigner fermionization of quantum spin systems on arbitrary 2D lattices: A mutual Chern-Simons approach
• Deciphering competing interactions of Kitaev-Heisenberg-$\Gamma$ system in clusters: part II -- dynamics of Majorana fermions
• A primer on Kitaev Model: Basic aspects, material realization, and recent experiments
• Deciphering competing interactions of Kitaev-Heisenberg-$\Gamma$ system in clusters: part I -- static properties
• Electric polarization near vortices in the extended Kitaev model
• Vacancies in generic Kitaev spin liquids
• Dynamical Response of the Kitaev Spin Liquid under Third-Nearest-Neighbor Heisenberg Interaction
• Magnetic field effects on the Kitaev model coupled to environment