Dirac and Chiral Quantum Spin Liquids on the Honeycomb Lattice in a Magnetic Field

Abstract

Motivated by recent experimental observations in $\alpha$-RuCl${}_3$, we study the $K$-$\Gamma$ model on the honeycomb lattice in an external magnetic field. By a slave-particle representation and Variational Monte Carlo calculations, we reproduce the phase transition from zigzag magnetic order to a field-induced disordered phase. The nature of this state depends crucially on the field orientation. For particular field directions in the honeycomb plane, we find a gapless Dirac spin liquid, in agreement with recent experiments on $\alpha$-RuCl${}_3$. For a range of out-of-plane fields, we predict the existence of a Kalmeyer-Laughlin-type chiral spin liquid, which would show an integer-quantized thermal Hall effect.

5+9 pages, 4+6 figures

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• Successive Majorana Topological Transitions Driven by a Magnetic Field in the Kitaev Model
• Diagnosing phases of magnetic insulators via noise magnetometry with spin qubits
• Thermal Hall effects in quantum magnets
• Intermediate gapless phase and topological phase transition of Kitaev model in a uniform magnetic field
• The Heart of Entanglement: Chiral, Nematic, and Incommensurate Phases in the Kitaev-Gamma Ladder in a Field
• Magnetic Field Induced Spin Liquids in S=1 Kitaev Honeycomb Model
• Giant thermal magnetoconductivity in CrCl${}_3$ and a general model for spin-phonon scattering
• Spectral evidence for Dirac spinons in a kagome lattice antiferromagnet
• Comprehensive study of the phase diagram of the spin-1/2 Kitaev-Heisenberg-Gamma chain
• Novel chiral quantum spin liquids in Kitaev magnets
• Thermal Hall signatures of non-Kitaev spin liquids in honeycomb Kitaev materials
• Universal Thermodynamics in the Kitaev Fractional Liquid
• On the saw-tooth torque in anisotropic $j_{\mathrm{eff}}=1/2$ magnets: Application to $\alpha$-RuCl${}_3$
• Quantum and classical behavior of spin-$S$ Kitaev models in an anisotropic limit
• Plaquette order in classical spin liquid stabilized by strong off-diagonal exchange
• Multinode quantum spin liquids on the honeycomb lattice
• Effect of ring-exchange interactions in the extended Kitaev honeycomb model
• Evidence for magnetic fractional excitations in a Kitaev quantum-spin-liquid candidate $\alpha$-RuCl${}_3$
• Non-Kitaev spin liquids in Kitaev materials
• Testing Ising Topological Order in $\alpha$-RuCl${}_3$ Under In-Plane Magnetic Fields
• Field-induced phase transitions and quantum criticality in a honeycomb antiferromagnet Na3Co2SbO6
• Spin wave theory of one-dimensional generalized Kitaev model
• Oscillations of the thermal conductivity observed in the spin-liquid state of $\alpha$-RuCl${}_3$
• Fractionalization Signatures in the Dynamics of Quantum Spin Liquids
• Symmetry-protected gapless spin liquids on the strained honeycomb lattice
• Spontaneous Chiral-Spin Ordering in Spin-Orbit Coupled Honeycomb Magnets
• Correlation effects on the magnetization process of the Kitaev model
• Spin-Induced Orbital Frustration in a Hexagonal Optical Lattice
• Topological phase transition and nontrivial thermal Hall signatures in honeycomb lattice magnets
• Kitaev quasiparticles in a proximate spin liquid: A many-body localization perspective
• Hydrostatic pressure effect on Co-based honeycomb magnet BaCo2(AsO4)2
• Gapless excitations in non-Abelian Kitaev spin liquids with line defects
• Multinode quantum spin liquids in extended Kitaev honeycomb models: the view from variational Monte Carlo
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• Emergent magnetic order in the antiferromagnetic Kitaev model with a [111] field
• Chiral spin liquid in a ${\mathbb{Z}}_3$ Kitaev model
• Effective Model for Rare-earth Kitaev Materials and its Classical Monte Carlo Simulation
• Phase diagram for Hole-Doped Kitaev System on the Honeycomb Lattice
• Field tuning Kitaev systems for spin fractionalization and topological order
• Topological quantum phase transitions of anisotropic AFM Kitaev model driven by magnetic field
• Chiral spin liquid in a generalized Kitaev honeycomb model with ${\mathbb{Z}}_4$ 1-form symmetry
• Spin sensitive transport in RuCl_3/Pt heterostructures: revealing a field-transverse spin anisotropy in a spin liquid candidate
• Honeycomb-lattice Gamma model in a magnetic field: hidden Néel order and spin-flop transition