Quantum spin liquid signatures in Kitaev-like frustrated magnets

Abstract

Motivated by recent experiments on $\alpha$-RuCl${}_3$, we investigate a possible quantum spin liquid ground state of the honeycomb-lattice spin model with bond-dependent interactions. We consider the $K-\Gamma$ model, where $K$ and $\Gamma$ represent the Kitaev and symmetric-anisotropic interactions between spin-1/2 moments on the honeycomb lattice. Using the infinite density matrix renormalization group (iDMRG), we provide compelling evidence for the existence of quantum spin liquid phases in an extended region of the phase diagram. In particular, we use transfer matrix spectra to show the evolution of two-particle excitations with well-defined two-dimensional dispersion, which is a strong signature of quantum spin liquid. These results are compared with predictions from Majorana mean-field theory and used to infer the quasiparticle excitation spectra. Further, we compute the dynamical structure factor using finite size cluster computations and show that the results resemble the scattering continuum seen in neutron scattering experiments on $\alpha$-RuCl${}_3$. We discuss these results in light of recent and future experiments.

Modified manuscript: 17 pages, 21 figures

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Cited by in corpus (106)

• Quantum Spin Liquids
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Excitations in the field-induced quantum spin liquid state of alpha-RuCl3
• Ferromagnetic Kitaev interaction and the origin of large magnetic anisotropy in $\alpha$-RuCl${}_3$
• Theory of the field-revealed Kitaev spin liquid
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• Dynamical and Topological Properties of the Kitaev Model in a [111] Magnetic Field
• Magnetic field induced quantum phases in a tensor network study of Kitaev magnets
• Anisotropic susceptibilities in the honeycomb Kitaev system $\alpha$-RuCl${}_3$
• One Proximate Kitaev Spin Liquid in the $K$-$J$-$\Gamma$ Model on the Honeycomb Lattice
• Geometrical frustration versus Kitaev interactions in BaCo${}_2$(AsO${}_4$)${}_2$
• Beyond Kitaev physics in strong spin-orbit coupled magnets
• Path to stable quantum spin liquids in spin-orbit coupled correlated materials
• Quantum spin liquid at finite temperature: proximate dynamics and persistent typicality
• Dirac and Chiral Quantum Spin Liquids on the Honeycomb Lattice in a Magnetic Field
• Kitaev-like honeycomb magnets: Global phase behavior and emergent effective models
• Classical and quantum spin dynamics of the honeycomb $\Gamma$ model
• Magnetic Field Induced Competing Phases in Spin-Orbital Entangled Kitaev Magnets
• Dynamics of visons and thermal Hall effect in perturbed Kitaev models
• Field-induced quantum spin liquid in the Kitaev-Heisenberg model and its relation to $\alpha$-RuCl${}_3$
• Variational study of the Kitaev-Heisenberg-Gamma model
• Tensor network wavefunction of $S=1$ Kitaev spin liquids
• Phase diagram of the spin-1/2 Kitaev-Gamma chain and emergent SU(2) symmetry
• Emergence of a nematic paramagnet via quantum order-by-disorder and pseudo-Goldstone modes in Kitaev magnets
• Magnon damping in the zigzag phase of the Kitaev-Heisenberg-$\Gamma$ model on a honeycomb lattice
• Magnetic Field Induced Spin Liquids in S=1 Kitaev Honeycomb Model
• Unveiling the phase diagram of a bond-alternating spin-$\frac{1}{2}$ $K$-$\Gamma$ chain
• Identification of a Kitaev Quantum Spin Liquid by Magnetic Field Angle Dependence
• Field-induced QCD${}_3$-Chern-Simons quantum criticalities in Kitaev materials
• Gapless quantum spin liquid in a honeycomb $\Gamma$ magnet
• Functional renormalization group study of the Kitaev-$\Gamma$ model on the honeycomb lattice and emergent incommensurate magnetic correlations
• Comprehensive study of the phase diagram of the spin-1/2 Kitaev-Heisenberg-Gamma chain
• Novel chiral quantum spin liquids in Kitaev magnets
• Revealing the Phase Diagram of Kitaev Materials by Machine Learning: Cooperation and Competition between Spin Liquids
• Kitaev Quantum Spin Liquids
• Gapless Kitaev Spin Liquid to Classical String Gas through Tensor Networks
• Universal Thermodynamics in the Kitaev Fractional Liquid
• Excitation spectrum of spin-1 Kitaev spin liquids
• Classical spin order near antiferromagnetic Kitaev point in the spin-1/2 Kitaev-Gamma chain
• Easy-plane anisotropic-exchange magnets on a honeycomb lattice: quantum effects and dealing with them
• Ground-state phase diagram of the Kitaev-Heisenberg model on a kagome lattice
• Machine-Learned Phase Diagrams of Generalized Kitaev Honeycomb Magnets
• Anyon dynamics in field-driven phases of the anisotropic Kitaev model
• Anisotropy as a diagnostic test for distinct tensor network wavefunctions of integer and half-integer spin Kitaev quantum spin liquids
• Evidence for magnetic fractional excitations in a Kitaev quantum-spin-liquid candidate $\alpha$-RuCl${}_3$
• Extent of frustration in the classical Kitaev-$\Gamma$ model via bond anisotropy
• Ground-state properties of the $K-\Gamma$ model on a honeycomb lattice
• Field-induced phase transitions and quantum criticality in a honeycomb antiferromagnet Na3Co2SbO6
• Spin-$S$ Kitaev-Heisenberg model on the honeycomb lattice: A high-order treatment via the many-body coupled cluster method
• Emergent glassiness in disorder-free Kitaev model: Density matrix renormalization group study on a one-dimensional ladder setting
• Exceptional dynamics of interacting spin liquids
• Symmetry-protected gapless spin liquids on the strained honeycomb lattice
• Probing Majorana wavefunctions in Kitaev honeycomb spin liquids with second-order two-dimensional spectroscopy
• Fractionalization Signatures in the Dynamics of Quantum Spin Liquids
• Proximate Kitaev system for an intermediate magnetic phase in in-plane magnetic fields
• Spin wave theory of one-dimensional generalized Kitaev model
• Symmetry analysis of bond-alternating Kitaev spin chains and ladders
• Topological Nematic Phase Transition in Kitaev Magnets Under Applied Magnetic Fields
• Determining non-Abelian topological order from infinite projected entangled pair states
• Phases and Quantum Phase Transitions in an Anisotropic Ferromagnetic Kitaev-Heisenberg-$\Gamma$ Magnet
• Spontaneous Chiral-Spin Ordering in Spin-Orbit Coupled Honeycomb Magnets
• Optical magnons with dominant bond-directional exchange interactions in a honeycomb lattice iridate $\alpha$-Li${}_2$IrO${}_3$
• Quantum spin liquids of Rydberg excitations in a honeycomb lattice induced by density-dependent Peierls phases
• Large off diagonal exchange couplings and spin liquid states in ${\mathbf{C}}_3$ symmetric iridates
• Weak-coupling to strong-coupling quantum criticality crossover in a Kitaev quantum spin liquid $\alpha$-RuCl${}_3$
• Differentiable programming tensor networks for Kitaev magnets
• Phonon Dynamics in the Generalized Kitaev Spin Liquid
• Magnetic-field Induced Topological Transitions and Thermal Conductivity in a Generalized Kitaev Model
• Exact projected entangled pair ground states with topological Euler invariant
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• Abelian and non-Abelian chiral spin liquids in a compact tensor network representation
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• Emergent quantum Majorana metal from a chiral spin liquid
• Extended Quantum Spin Liquid with Spinon-like Excitations in an Anisotropic Kitaev-Gamma Model
• Strain-induced phase diagram of the $S=\frac{3}{2}$ Kitaev material $\mathrm{CrSiT}{\mathrm{e}}_3$
• Interplay of magnetic field and trigonal distortion in the honeycomb $\Gamma$ model: Occurrence of a spin-flop phase
• Converting electrons into emergent fermions at a superconductor-Kitaev spin liquid interface
• Electric field control of a quantum spin liquid in weak Mott insulators
• Insulator-to-metal Mott transition facilitated by lattice deformation in monolayer $\alpha$-RuCl${}_3$ on graphite
• Multinode quantum spin liquids in extended Kitaev honeycomb models: the view from variational Monte Carlo
• Kinetic Ferromagnetism and Topological Magnons of the Hole-Doped Kitaev Spin Liquid
• Dimensional reduction of Kitaev spin liquid at quantum criticality
• Nonsymmorphic bosonization in one-dimensional generalized Kitaev spin-1/2 models
• Emergent SU(2)${}_1$ conformal symmetry in the spin-1/2 Kitaev-Gamma chain with a Dzyaloshinskii-Moriya interaction
• Projective-symmetry-group analysis of inelastic light scattering in Kitaev spin balls
• Phonon Dynamics in the Chiral Kitaev Spin Liquid
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• Thermal Hall conductivity with sign change in the Heisenberg-Kitaev kagome magnet
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• Quantum Spin Liquid phases in Kitaev Materials
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• Exact Ground States and Phase Diagram of the Quantum Compass Model under an in-plane Field
• Electric polarization near vortices in the extended Kitaev model
• Eleven Competing Phases in the Heisenberg-Gamma (J$\Gamma$) Ladder
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• Ground-state phase diagram of anisotropically interacting Heisenberg-$\Gamma$ models on a honeycomb lattice
• Coupled spin-1/2 antiferromagnetic chain Cs${}_2$LiRuCl${}_6$ with partially disordered crystal lattice
• Diagnosing energy gap in quantum spin liquids via polarization amplitude
• Variational methods for characterizing matrix product operator symmetries
• Phases and Quantum Phase Transitions in Anisotropic Antiferromagnetic Kitaev-Heisenberg-$\Gamma$ magnet
• Ground state of the staggered Heisenberg-$\Gamma$ honeycomb model in a magnetic field
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers