A primer on Kitaev Model: Basic aspects, material realization, and recent experiments
arXiv:2504.15788 · doi:10.1088/1361-648X/adc6e6
Abstract
This elementary review article is aimed to the beginning graduate students interested to know basic aspects of Kitaev model. We begin with a very lucid introduction of Kitaev model and present its exact solution, Hilbert space structure, fractionalisation, spin-spin correlation function and topological degeneracy in an elementary way. We then discuss the recent proposal of realizing Kitaev interaction in certain materials. Finally we present some recent experiments done on these materials, mainly magnetization, susceptibility, specific heat and thermal Hall effect to elucidate the recent status of material realization of coveted Kitaev spin-liquid phase. We end with a brief discussion on other theoretical works on Kitaev model from different many-body aspects.
arXiv comment41 page, 35 figures. arXiv admin note: text overlap with arXiv:2006.11549
References in corpus (175)
- Fault-tolerant quantum computation by anyons
- Non-Abelian Anyons and Topological Quantum Computation
- Layer-dependent Ferromagnetism in a van der Waals Crystal down to the Monolayer Limit
- Anyons in an exactly solved model and beyond
- Discovery of intrinsic ferromagnetism in 2D van der Waals crystals
- Skyrmion Lattice in a Chiral Magnet
- Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
- Quantum Spin Liquids
- Spin Ice State in Frustrated Magnetic Pyrochlore Materials
- Novel Jeff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr2IrO4
- Quantum Spin Liquid States
- Ising-Type Magnetic Ordering in Atomically Thin FePS3
- Quantum Spin Liquids
- Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides IrO
- Quantum Orders and Symmetric Spin Liquids
- Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
- Probing Topological Spin Liquids on a Programmable Quantum Simulator
- Kitaev quantum spin liquid - concept and materialization
- An RVB phase in the triangular lattice quantum dimer model
- Relevance of the Heisenberg-Kitaev model for the honeycomb lattice iridates A_2IrO_3
- Generic spin model for the honeycomb iridates beyond the Kitaev limit
- Lieb-Schultz-Mattis in Higher Dimensions
- Z_2 Gauge Theory of Electron Fractionalization in Strongly Correlated Systems
- Models and Materials for Generalized Kitaev Magnetism
- Spin waves and revised crystal structure of honeycomb iridate Na2IrO3
- Theory of Thermal Hall Effect in Quantum Magnets
- Tutorial: A Beginner's Guide to Interpreting Magnetic Susceptibility Data with the Curie-Weiss Law
- The monoclinic crystal structure of -RuCl and the zigzag antiferromagnetic ground state
- Magnetic order in -RuCl: a honeycomb lattice quantum magnet with strong spin-orbit coupling
- Quantum magnetism and criticality
- Suppression of magnetic ordering in XXZ-type antiferromagnetic monolayer NiPS3
- Altermagnetism: Exploring New Frontiers in Magnetism and Spintronics
- Exact results for spin dynamics and fractionization in the Kitaev Model
- Orbital order and fluctuations in Mott insulators
- The Flux-Phase of the Half-Filled Band
- An exact chiral spin liquid with non-Abelian anyons
- Topological Order and Conformal Quantum Critical Points
- Dynamics of a two-dimensional quantum spin liquid: signatures of emergent Majorana fermions and fluxes
- Excitations in the field-induced quantum spin liquid state of alpha-RuCl3
- Successive magnetic phase transitions in -RuCl: XY-like frustrated magnet on the honeycomb lattice
- Measurement-Only Topological Quantum Computation
- Half-integer quantized anomalous thermal Hall effect in the Kitaev material -RuCl
- New Exactly Solvable Model of Strongly Correlated Electrons Motivated by High T_c Superconductivity
- Dynamically-Induced Frustration as a Route to a Quantum Spin Ice State in Tb2Ti2O7 via Virtual Crystal Field Excitations and Quantum Many-Body Effects
- Crystal structure and magnetism in -RuCl3: an ab-initio study
- Experimental identification of quantum spin liquids
- Thermal fractionalization of quantum spins in a Kitaev model: -linear specific heat and coherent transport of Majorana fermions
- Resonating Valence Bond Wave Functions for Strongly Frustrated Spin Systems
- Exact results on the Kitaev model on a hexagonal lattice: spin states, string and brane correlators, and anyonic excitations
- Anisotropic Ru3+ 4d5 magnetism in the alpha-RuCl3 honeycomb system: susceptibility, specific heat and Zero field NMR
- Vaporization of Kitaev spin liquids
- Spontaneous plaquette dimerization in the Heisenberg model
- Exactly solvable Kitaev model in three dimensions
- Field-induced quantum criticality in the Kitaev system -RuCl
- Robustness of the thermal Hall effect close to half-quantization in a field-induced spin liquid state
- Exact results for quench dynamics and defect production in a two-dimensional model
- Orbital physics in transition metal compounds: new trends
- Viewpoint: Opportunities and challenges of two-dimensional magnetic van der Waals materials: magnetic graphene?
- Emergence of a Field-Driven U(1) Spin Liquid in the Kitaev Honeycomb Model
- Edge solitons of topological insulators and fractionalized quasiparticles in two dimensions
- New valence bond crystal phase of a frustrated spin-1/2 square lattice antiferromagnet
- Spin-S Kitaev model: Classical Ground States, Order by Disorder and Exact Correlation Functions
- Altermagnetism with Non-collinear Spins
- New Type Phase Transition of Li2RuO3 with Honeycomb Structure
- Thermal Hall Effect Induced by Magnon-Phonon Interactions
- Disorder in a quantum spin liquid: flux binding and local moment formation
- Robust non-Abelian spin liquid and possible intermediate phase in antiferromagnetic Kitaev model with magnetic field
- Quantum Monte Carlo study of S=1/2 weakly-anisotropic antiferromagnets on the square lattice
- Magnon bound states vs. anyonic Majorana excitations in the Kitaev honeycomb magnet -RuCl
- Materials design of Kitaev spin liquids beyond the Jackeli-Khaliullin mechanism
- Fractional Spin Fluctuation as a Precursor of Quantum Spin Liquids: Majorana Dynamical Mean-Field Study for the Kitaev Model
- Raman spectroscopic signature of fractionalized excitations in the harmonic-honeycomb iridates - and -LiIrO
- Clues and criteria for designing Kitaev spin liquid revealed by thermal and spin excitations of honeycomb iridates NaIrO
- Fractionalization, topological order, and quasiparticle statistics
- Quantum Phase Transition in Heisenberg-Kitaev Model
- Electronic structures of layered perovskite Sr2MO4 (M=Ru, Rh, and Ir)
- Strong quantum fluctuations in a quantum spin liquid candidate with a Co-based triangular lattice
- Site dilution in Kitaev's honeycomb model
- Quench dynamics and defect production in the Kitaev and extended Kitaev models
- Bond Algebras and Exact Solvability of Hamiltonians: Spin S=1/2 Multilayer Systems and Other Curiosities
- Spin-orbit coupling in elemental two-dimensional materials
- Physical solutions of the Kitaev honeycomb model
- Thermal Hall effect, spin Nernst effect, and spin density induced by thermal gradient in collinear ferrimagnets from magnon-phonon interaction
- Thermodynamic evidence of fractionalized excitations in α-RuCl3
- Low-energy singlet and triplet excitations in the spin-liquid phase of the two-dimensional J1-J2 model
- Dynamical and thermal magnetic properties of the Kitaev spin liquid candidate -RuCl
- Magnetic field induced intermediate quantum spin-liquid with a spinon Fermi surface
- Field-induced intermediate ordered phase and anisotropic interlayer interactions in -RuCl
- Perturbative approach to an exactly solved problem: the Kitaev honeycomb model
- A Multi-Dimensional Lieb-Schultz-Mattis Theorem
- Designing light-element materials with large effective spin-orbit coupling
- Identification of Magnetic Interactions and High-field Quantum Spin Liquid in -RuCl
- Path to stable quantum spin liquids in spin-orbit coupled correlated materials
- Theory of defect production in nonlinear quench across a quantum critical point
- Quantum spin liquid at finite temperature: proximate dynamics and persistent typicality
- Vacancy-induced low-energy density of states in the Kitaev spin liquid
- Perturbative study of the Kitaev model with spontaneous time-reversal symmetry breaking
- The range of non-Kitaev terms and fractional particles in RuCl
- Dynamics of a quantum spin liquid beyond integrability the Kitaev-Heisenberg- model in an augmented parton mean-field theory
- Thermodynamic perspective on the field-induced behavior of -RuCl
- Thermal Hall effects in quantum magnets
- Heat capacity evidence for proximity to the Kitaev QSL in AIrO ( Na, Li)
- Entanglement Entropy as a Portal to the Physics of Quantum Spin Liquids
- Characterizing and Quantifying Frustration in Quantum Many-Body Systems
- Thermodynamic and Transport Properties in Disordered Kitaev Models
- Classical and quantum spin dynamics of the honeycomb model
- Topological degeneracy and vortex manipulation in Kitaev's honeycomb model
- Heisenberg and anisotropic exchange interactions in magnetic materials with correlated electronic structure and significant spin-orbit coupling
- Triangular Trimers on the Triangular Lattice: an Exact Solution
- Variational study of the Kitaev-Heisenberg-Gamma model
- Power-law spin correlations in a perturbed honeycomb spin model
- Magnon damping in the zigzag phase of the Kitaev-Heisenberg- model on a honeycomb lattice
- Giant Phonon Anomalies in the Proximate Kitaev Quantum Spin Liquid -RuCl
- Valence-bond crystals in the kagome spin-1/2 Heisenberg antiferromagnet: a symmetry classification and projected wave function study
- Frustration, Entanglement, and Correlations in Quantum Many Body Systems
- Exact Spin Liquid Ground States of the Quantum Dimer Model on the Square and Honeycomb Lattices
- Entanglement Entropy of U(1) Quantum Spin Liquids
- Singlet-triplet excitations and long range entanglement in the spin-orbital liquid candidate FeSc2S4
- Vison Crystals in an Extended Kitaev Model on the Honeycomb Lattice
- Angle-dependent thermodynamics of -RuCl
- Entanglement in gapless resonating valence bond states
- Functional renormalization group study of the Kitaev- model on the honeycomb lattice and emergent incommensurate magnetic correlations
- Majorana-fermion origin of the planar thermal Hall effect in the Kitaev magnet -RuCl
- Floquet engineering of Kitaev quantum magnets
- Inverse Faraday effect in Mott insulators
- Ising exchange interaction in lanthanides and actinides
- Spin correlations and phase diagram of the perturbed Kitaev model
- Emergent SU(3) magnons and thermal Hall effect in the antiferromagnetic skyrmion lattice
- Anderson-Kitaev spin liquid
- Localised zero-energy modes in the Kitaev model with vacancy-disorder
- Kitaev model and dimer coverings on the honeycomb lattice
- Kitaev honeycomb tensor networks: exact unitary circuits and applications
- RVB gauge theory and the Topological degeneracy in the Honeycomb Kitaev model
- Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet
- Long-Range Entangled-Plaquette States for Critical and Frustrated Quantum Systems on a Lattice
- Characterizing Long-Range Entanglement in a Mixed State Through an Emergent Order on the Entangling Surface
- Exchange interactions in Kitaev materials: From NaIrO to -RuCl
- Further insights into the thermodynamics of the Kitaev honeycomb model
- Comprehensive study of the global phase diagram in the triangular -- model
- Probing quantum spin liquids with a quantum twisting microscope
- Effect of ring-exchange interactions in the extended Kitaev honeycomb model
- Anyon dynamics in field-driven phases of the anisotropic Kitaev model
- Vacancies in the Kitaev quantum spin liquids on the 3D hyper-honeycomb lattice
- Generic Field-Driven Phenomena in Kitaev Spin Liquids: Canted Magnetism and Proximate Spin Liquid Physics
- Topological thermal Hall effect for topological excitations in spin liquid: Emergent Lorentz force on the spinons
- Recent progress on magnetic-field studies on quantum-spin-liquid candidates
- Kitaev Spin Liquid Candidate OsxCl3 Comprised of Honeycomb Nano-Domains
- Electromagnetic signatures of chiral quantum spin liquid
- Emergent orbital magnetization in Kitaev quantum magnets
- Field stability of Majorana spin liquids in antiferromagnetic Kitaev models
- Magnetic vortex liquid and anomalous thermal Hall conductivity in frustrated magnets with bond-dependent interactions
- Emergent glassiness in disorder-free Kitaev model: Density matrix renormalization group study on a one-dimensional ladder setting
- Topological excitations in three dimensional Kitaev model
- Phases and phase transitions of a perturbed Kekulé-Kitaev model
- Entanglement and level crossings in frustrated ferromagnetic rings
- Entanglement and Majorana edge states in the Kitaev model
- Long-range entanglement and topological excitations
- Correlation holes and slow dynamics induced by fractional statistics in gapped quantum spin liquids
- Incommensurate, helical spin ground states on the Hollandite lattice
- The anti-symmetric and anisotropic symmetric exchange interactions between electric dipoles in hafnia
- Projective symmetry group classification of Abrikosov fermion mean-field ansätze on the square-octagon lattice
- Spin Entanglement and Magnetic Competition via Long-range Interactions in Spinor Quantum Optical Lattices
- Competing orders in a frustrated Heisenberg model on the Fisher lattice
- Perturbed Kitaev model: excitation spectrum and long-ranged spin correlations
- Hybrid Dyons, inverted Lorentz force and magnetic Nernst effect in quantum spin ice
- Defect production and quench dynamics in the three-dimensional Kitaev model
- Dimer Crystallization Induced by Elemental Substitution in the Honeycomb Lattice of Ru1-xOsxCl3
- Competition between Kondo and Kitaev Physics in Kitaev clusters coupled to a fermionic bath
- Quantum Spin-Wave Theory for non-collinear Spin Structures, a Review
- Stronger quantum fluctuation with larger spins: Emergent magnetism in the pressurized high-temperature superconductor FeSe
- Static and dynamical magnetic properties of the extended Kitaev-Heisenberg model with spin vacancies
- The Interplay between Frustration and Entanglement in Many-Body Systems
- Field tuning Kitaev systems for spin fractionalization and topological order
- Deciphering competing interactions of Kitaev-Heisenberg- system in clusters: part II -- dynamics of Majorana fermions
- Deciphering competing interactions of Kitaev-Heisenberg- system in clusters: part I -- static properties