Theory of the field-revealed Kitaev spin liquid

Abstract

Elementary excitations in highly entangled states such as quantum spin liquids may exhibit exotic statistics, different from those obeyed by fundamental bosons and fermions. Excitations called non-Abelian anyons are predicted to exist in a Kitaev spin liquid - the ground state of an exactly solvable model proposed by Kitaev almost a decade ago. A smoking-gun signature of such non-Abelian anyons, namely a half-integer quantized thermal Hall conductivity, was recently reported in $\alpha$-RuCl${}_3$. While fascinating, a microscopic theory for this phenomenon in $\alpha$-RuCl${}_3$ remains elusive because the pure Kitaev phase cannot capture these anyons appearing in an intermediate magnetic field. Here we present a microscopic theory of the Kitaev spin liquid emerging between the low- and high-field states. Essential to this result is an antiferromagnetic off-diagonal symmetric interaction that permits the Kitaev spin liquid to protrude from the pure ferromagnetic Kitaev limit under a magnetic field. This generic model captures a field-revealed Kitaev spin liquid, and displays strong anisotropy of field effects. A wide regime of non-Abelian anyon Kitaev spin liquid is predicted when the magnetic field is perpendicular to the honeycomb plane.

arXiv comment18 pages, 5 figures

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Cited by in corpus (106)

• Half-integer quantized anomalous thermal Hall effect in the Kitaev material $\alpha$-RuCl${}_3$
• Hunting Majorana Fermions in Kitaev Magnets
• Microscopic mechanism for higher-spin Kitaev model
• The planar thermal Hall conductivity in the Kitaev magnet α-RuCl3
• Finite field regime for a quantum spin liquid in $\alpha$-RuCl${}_3$
• Magnon bound states vs. anyonic Majorana excitations in the Kitaev honeycomb magnet $\alpha$-RuCl${}_3$
• Heisenberg-Kitaev physics in magnetic fields
• Magnetic field induced quantum phases in a tensor network study of Kitaev magnets
• Sign structure of thermal Hall conductivity for in-plane-field polarized Kitaev magnets
• Dynamical and thermal magnetic properties of the Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Magnetic field induced intermediate quantum spin-liquid with a spinon Fermi surface
• Geometrical frustration versus Kitaev interactions in BaCo${}_2$(AsO${}_4$)${}_2$
• Topological magnons for thermal Hall transport in frustrated magnets with bond-dependent interactions
• A magnetic continuum observed by terahertz spectroscopy in a quantum spin liquid candidate BaCo${}_2$(AsO${}_4$)${}_2$
• Beyond Kitaev physics in strong spin-orbit coupled magnets
• Identification of Magnetic Interactions and High-field Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Magnetic ground state of the Kitaev Na${}_2$Co${}_2$TeO${}_6$ spin liquid candidate
• Giant magnetic in-plane anisotropy and competing instabilities in Na3Co2SbO6
• Magnetic Field Induced Competing Phases in Spin-Orbital Entangled Kitaev Magnets
• Electrical Access to Ising Anyons in Kitaev Spin Liquids
• Field-induced quantum spin liquid in the Kitaev-Heisenberg model and its relation to $\alpha$-RuCl${}_3$
• Scale-invariant magnetic anisotropy in RuCl${}_3$ at high magnetic fields
• Variational study of the Kitaev-Heisenberg-Gamma model
• The Heart of Entanglement: Chiral, Nematic, and Incommensurate Phases in the Kitaev-Gamma Ladder in a Field
• Triple-q order in Na${}_2$Co${}_2$TeO${}_6$ from proximity to hidden-SU(2)-symmetric point
• 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
• Magnetic Field Induced Spin Liquids in S=1 Kitaev Honeycomb Model
• Kitaev honeycomb models in magnetic fields: Dynamical response and hidden symmetries
• Majorana-mediated spin transport without spin polarization in Kitaev quantum spin liquids
• Field-induced phase transitions of the Kitaev material $\alpha$-RuCl${}_3$ probed by thermal expansion and magnetostriction
• Vison Crystals in an Extended Kitaev Model on the Honeycomb Lattice
• 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
• Oscillations in the magnetothermal conductivity of $\mathbf{\alpha }$-RuCl${}_3$: Evidence of transition anomalies
• Comprehensive study of the phase diagram of the spin-1/2 Kitaev-Heisenberg-Gamma chain
• Revealing the Phase Diagram of Kitaev Materials by Machine Learning: Cooperation and Competition between Spin Liquids
• Kitaev Quantum Spin Liquids
• Lifshitz phase transitions in one-dimensional Gamma model
• Light-Induced Control of Magnetic Phases in Kitaev Quantum Magnets
• Tuning topological orders by a conical magnetic field in the Kitaev model
• Possible Intermediate Quantum Spin Liquid Phase in $\alpha$-RuCl${}_3$ under High Magnetic Fields up to 100 T
• Field-angle dependence of thermal Hall conductivity in magnetically ordered Kitaev-Heisenberg system
• Multinode quantum spin liquids on the honeycomb lattice
• Stripe-yz magnetic order in the triangular-lattice antiferromagnet KCeS2
• Nature of visons in the perturbed ferromagnetic and antiferromagnetic Kitaev honeycomb models
• Exchange interactions in $d^5$ Kitaev materials: From Na${}_2$IrO${}_3$ to $\alpha$-RuCl${}_3$
• Magnetoelectric generation of a Majorana-Fermi surface in Kitaev's honeycomb model
• Effect of ring-exchange interactions in the extended Kitaev honeycomb model
• Machine-Learned Phase Diagrams of Generalized Kitaev Honeycomb Magnets
• Topological phase transition to Abelian anyon phases due to off-diagonal exchange interaction in the Kitaev spin liquid state
• Insights into the Anisotropic Spin-$S$ Kitaev Chain
• Extent of frustration in the classical Kitaev-$\Gamma$ model via bond anisotropy
• 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
• Spin wave theory of one-dimensional generalized Kitaev model
• Proximate Kitaev system for an intermediate magnetic phase in in-plane magnetic fields
• Spin-wave dynamics in the KCeS2 delafossite: A theoretical description of powder inelastic neutron-scattering data
• Spin excitation continuum to topological magnon crossover and thermal Hall conductivity in Kitaev magnets
• Information propagation in one-dimensional XY-$\Gamma$ chains
• Topological Nematic Phase Transition in Kitaev Magnets Under Applied Magnetic Fields
• Neutron spectroscopy evidence for a possible magnetic-field-induced gapless quantum-spin-liquid phase in a Kitaev material $\alpha$-RuCl${}_3$
• Dissipationless Spin Current Generation in Kitaev's Chiral Spin Liquid
• Spontaneous Chiral-Spin Ordering in Spin-Orbit Coupled Honeycomb Magnets
• Symmetry Analysis of Tensors in the Honeycomb Lattice of Edge-Sharing Octahedra
• Thermal Hall conductivity of $\alpha$-RuCl${}_3$
• Quantum paramagnetism in the hyperhoneycomb Kitaev magnet $\beta$-ZnIrO${}_3$
• Weak-coupling to strong-coupling quantum criticality crossover in a Kitaev quantum spin liquid $\alpha$-RuCl${}_3$
• Scattering phenomena for spin transport in Kitaev spin liquid
• Phonon Dynamics in the Generalized Kitaev Spin Liquid
• Islands of Chiral Solitons in Integer Spin Kitaev Chains
• Dynamics of fractionalized mean-field theories: consequences for Kitaev materials
• Suppression of the antiferromagnetic order by Zn doping in a possible Kitaev material Na${}_2$Co${}_2$TeO${}_6$
• Twice Hidden String Order and Competing Phases in the Spin-1/2 Kitaev-Gamma Ladder
• Anyon condensation and confinement transition in a Kitaev spin liquid bilayer
• Topological phase diagrams of in-plane field polarized Kitaev magnets
• Kitaev quasiparticles in a proximate spin liquid: A many-body localization perspective
• Interplay of magnetic field and trigonal distortion in the honeycomb $\Gamma$ model: Occurrence of a spin-flop phase
• Giant anisotropy of Gilbert damping in a Rashba honeycomb antiferromagnet
• Electric probe for the toric code phase in Kitaev materials through the hyperfine interaction
• Multinode quantum spin liquids in extended Kitaev honeycomb models: the view from variational Monte Carlo
• Quantum-classical crossover in the spin-1/2 Heisenberg-Kitaev kagome magnet
• Electric field control of a quantum spin liquid in weak Mott insulators
• Gapless excitations in non-Abelian Kitaev spin liquids with line defects
• Successive topological phase transitions in two distinct spin-flop phases on the honeycomb lattice
• Non-local features of the spin-orbit exciton in Kitaev materials
• Emergent Hyper-Magic Manifold in Twisted Kitaev Bilayers
• Signatures of a gapless quantum spin liquid in the Kitaev material Na${}_3$Co${}_{2-x}$Zn${}_x$SbO${}_6$
• High-field quantum spin liquid transitions and angle-field phase diagram of Kitaev magnet $\alpha$-RuCl${}_3$
• Field-Induced Ordered Phases in Anisotropic Spin-1/2 Kitaev Chains
• Complex orders and chirality in the classical Kitaev-$\Gamma$ model
• Exact Ground States and Phase Diagram of the Quantum Compass Model under an in-plane Field
• Jordan-Wigner fermionization of quantum spin systems on arbitrary 2D lattices: A mutual Chern-Simons approach
• Eleven Competing Phases in the Heisenberg-Gamma (J$\Gamma$) Ladder
• Vacancies in generic Kitaev spin liquids
• Electric polarization near vortices in the extended Kitaev model
• Assembling Kitaev honeycomb spin liquids from arrays of 1D symmetry protected topological phases
• Spin-phonon coupling and thermal Hall effect in the Kitaev model
• Field-induced phase transitions in the Kitaev-Heisenberg model: A sign-problem-free quantum Monte Carlo study and possible application to $\alpha$-RuCl3
• Computational exploration of a viable route to Kitaev-quantum spin liquid phase in OsCl${}_3$
• Kitaev interaction and possible spin liquid state in CoI2 and Co2/3Mg1/3I2
• The field-angle anisotropy of proximate Kitaev systems under an in-plane magnetic field
• Dynamical Response of the Kitaev Spin Liquid under Third-Nearest-Neighbor Heisenberg Interaction
• Dominant Kitaev Interaction and Field-induced Quantum Disordered Phase in the Cobaltate Na${}_2$Co${}_2$TeO${}_6$
• Vortex creation and control in the Kitaev spin liquid by local bond modulations