Challenges in Design of Kitaev Materials: Magnetic Interactions from Competing Energy Scales

Abstract

In this study, we reanalyze the magnetic interactions in the Kitaev spin liquid candidate materials Na${}_2$IrO${}_3$, $\alpha$-RuCl${}_3$, and $\alpha$-Li${}_2$IrO${}_3$ using nonperturbative exact diagonalization methods. These methods are more appropriate given the relatively itinerant nature of the systems suggested in previous works. We treat all interactions up to third neighbours on equal footing. The computed terms reveal significant long range coupling, bond-anisotropy, and/or off-diagonal couplings which we argue naturally explain the observed ordered phases in these systems. Given these observations, the potential for realizing the spin-liquid state in real materials is analyzed, and synthetic challenges are defined and explained.

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• Vaporization of Kitaev spin liquids
• Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for honeycomb lattice iridates A2IrO3
• Ab initio analysis of the tight-binding parameters and magnetic interactions in Na2IrO3
• Na2IrO3 as a molecular orbital crystal
• Incommensurate Counterrotating Magnetic Order Stabilized by Kitaev Interactions in the Layered Honeycomb $\alpha$-Li${}_2$IrO${}_3$
• Kitaev-Heisenberg-J2-J3 model for the iridates A2IrO3
• Spin-orbit excitations and electronic structure of the putative Kitaev magnet $\alpha$-RuCl${}_3$
• Non-coplanar and counter-rotating incommensurate magnetic order stabilized by Kitaev interactions in $\gamma$-Li2IrO3
• Unconventional magnetic order on the hyperhoneycomb Kitaev lattice in $\beta$-Li2IrO3: full solution via magnetic resonant x-ray diffraction
• Spin Hamiltonian for which the Chiral Spin Liquid is the Exact Ground State
• Importance of anisotropic exchange interactions in honeycomb iridates. Minimal model for zigzag antiferromagnetic order in Na${}_2$IrO${}_3$
• Clues and criteria for designing Kitaev spin liquid revealed by thermal and spin excitations of honeycomb iridates Na${}_2$IrO${}_3$
• Heisenberg-Kitaev model on hyperhoneycomb lattice
• Magnetic couplings, optical spectra, and spin-orbit exciton in 5d electron Mott insulator Sr2IrO4
• Spiral order in the honeycomb iridate Li2IrO3
• Spin-Orbital Locking, Emergent Pseudo-Spin, and Magnetic order in Honeycomb Lattice Iridates
• Strongly frustrated triangular spin lattice emerging from triplet dimer formation in honeycomb Li2IrO3
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• The Insulating Nature of Na2IrO3: Mott-type or Slater-type?

Cited by in corpus (384)

• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
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• Models and Materials for Generalized Kitaev Magnetism
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Interacting topological insulators: a review
• Half-integer quantized anomalous thermal Hall effect in the Kitaev material $\alpha$-RuCl${}_3$
• Spin-orbit excitation energies, anisotropic exchange, and magnetic phases of honeycomb RuCl3
• Breakdown of Magnons in a Strongly Spin-Orbital Coupled Magnet
• Hunting Majorana Fermions in Kitaev Magnets
• Orbital effects in solids: basics, recent progress and opportunities
• Gapless Spin Excitations in the Field-Induced Quantum Spin Liquid Phase of alpha-RuCl3
• Spin-wave excitations evidencing the Kitaev interaction in single crystalline $\alpha$-RuCl${}_3$
• Unusual thermal Hall effect in a Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Kitaev Spin Liquid in 3d Transition Metal Compounds
• Field-induced quantum criticality in the Kitaev system $\alpha$-RuCl${}_3$
• Robustness of the thermal Hall effect close to half-quantization in a field-induced spin liquid state
• Magnetic Excitations and Continuum of a Field-Induced Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Magnetization processes of zigzag states on the honeycomb lattice: Identifying spin models for $\alpha$-RuCl${}_3$ and Na${}_2$IrO${}_3$
• Field-induced quantum spin disordered state in spin-1/2 honeycomb magnet Na2Co2TeO6
• Topological Magnons in Kitaev Magnets at High Fields
• Probing $\alpha$-RuCl${}_3$ Beyond Magnetic Order: Effects of Temperature and Magnetic Field
• Honeycomb-lattice Heisenberg-Kitaev model in a magnetic field: Spin canting, metamagnetism, and vortex crystals
• Observation of two types of anyons in the Kitaev honeycomb magnet
• Spin-orbit-entangled electronic phases in 4$d$ and 5$d$ transition-metal compounds
• Ferromagnetic Kitaev interaction and the origin of large magnetic anisotropy in $\alpha$-RuCl${}_3$
• Relation between Kitaev magnetism and structure in $\alpha$-RuCl${}_3$
• Magnetic anisotropy in the Kitaev model systems Na2IrO3 and RuCl3
• Theoretical investigation of the magnetic dynamics in $\alpha$-RuCl${}_3$
• Theory of the field-revealed Kitaev spin liquid
• Quantum spin liquid signatures in Kitaev-like frustrated magnets
• Quantization of the thermal Hall conductivity at small Hall angles
• Robust non-Abelian spin liquid and possible intermediate phase in antiferromagnetic Kitaev model with magnetic field
• Rethinking $\alpha$-RuCl${}_3$
• Frustration and quantum criticality
• Materials design of Kitaev spin liquids beyond the Jackeli-Khaliullin mechanism
• Heisenberg-Kitaev physics in magnetic fields
• Ferrimagnetism and anisotropic phase tunability by magnetic fields in Na${}_2$Co${}_2$TeO${}_6$
• Pressure-induced dimerization and valence bond crystal formation in the Kitaev-Heisenberg magnet alpha-RuCl3
• Spin-orbit phase behaviors of Na2Co2TeO6 at low temperatures
• Honeycomb Layered Oxides: Structure, Energy Storage, Transport, Topology and Relevant Insights
• Magnetic field induced quantum phases in a tensor network study of Kitaev magnets
• Anisotropic susceptibilities in the honeycomb Kitaev system $\alpha$-RuCl${}_3$
• Designing Kitaev spin liquids in metal-organic frameworks
• Emergent $\mathrm{SU}(4)$ Symmetry in $\alpha$-ZrCl${}_3$ and Crystalline Spin-Orbital Liquids
• One Proximate Kitaev Spin Liquid in the $K$-$J$-$\Gamma$ Model on the Honeycomb Lattice
• Fingerprints of Kitaev physics in the magnetic excitations of honeycomb iridates
• Quantum-centric Supercomputing for Materials Science: A Perspective on Challenges and Future Directions
• Sign structure of thermal Hall conductivity for in-plane-field polarized Kitaev magnets
• Electronic properties of α-RuCl3 in proximity to graphene
• Dynamical and thermal magnetic properties of the Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Order-by-Disorder from Bond-Dependent Exchange and Intensity Signature of Nodal Quasiparticles in a Honeycomb Cobaltate
• Classical spin liquid instability driven by off-diagonal exchange in strong spin-orbit magnets
• Spin Wave Analysis of Low-Temperature Thermal Hall Effect in the Candidate Kitaev Spin Liquid $\alpha$-RuCl${}_3$
• Field-induced intermediate ordered phase and anisotropic interlayer interactions in $\alpha$-RuCl${}_3$
• Spin-Space Groups and Magnon Band Topology
• Competition between spin-orbit coupling, magnetism, and dimerization in the honeycomb iridates: $\alpha$-Li${}_2$IrO${}_3$ under pressure
• Antiferromagnetic Kitaev Interaction in $f$-Electron Based Honeycomb Magnets
• Thermodynamic Evidence of Proximity to a Kitaev Spin-Liquid in Ag${}_3$LiIr${}_2$O${}_6$
• Phase diagram and spin correlations of the Kitaev-Heisenberg model: Importance of quantum effects
• High-Field Quantum Disordered State in $\alpha$-RuCl3: Spin Flips, Bound States, and a Multi-Particle Continuum
• Unveiling Magnetic Interactions of Ruthenium Trichloride via Constraining Direction of Orbital moments: Potential Routes to Realize Quantum Spin Liquid
• Excitations in the ordered and paramagnetic states of honeycomb magnet Na2Co2TeO6
• Importance of Spin-Orbit Coupling in Organic BEDT-TTF and BEDT-TSF Salts
• Tunneling spectroscopy of quantum spin liquids
• Dominant Kitaev interactions in the honeycomb materials Na${}_3$Co${}_2$SbO${}_6$ and Na${}_2$Co${}_2$TeO${}_6$
• Breakdown of magnetic order in the pressurized Kitaev iridate $\beta$-Li${}_2$IrO${}_3$
• Beyond Kitaev physics in strong spin-orbit coupled magnets
• Resonant inelastic X-ray scattering response of the Kitaev honeycomb model
• Identification of Magnetic Interactions and High-field Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Path to stable quantum spin liquids in spin-orbit coupled correlated materials
• Comprehensive study of the dynamics of a classical Kitaev spin liquid
• Field evolution of magnons in $\alpha$-RuCl${}_3$ by high-resolution polarized terahertz spectroscopy
• XY magnetism, Kitaev exchange, and long-range frustration in the $J_{\mathrm{eff}}=1/2$ honeycomb cobaltates
• Quantum spin liquid at finite temperature: proximate dynamics and persistent typicality
• Magnetic Couplings in Edge-Sharing High-Spin $d^7$ Compounds
• Pressure-tuned magnetic interactions in honeycomb Kitaev materials
• Phonon dynamics in the Kitaev spin liquid
• Dirac and Chiral Quantum Spin Liquids on the Honeycomb Lattice in a Magnetic Field
• Microscopic origin of magnetism in monolayer $3d$ transition metal dihalides
• Thermal Hall effects in quantum magnets
• Spin-orbit entangled j=1/2 moments in Ba${}_2$CeIrO${}_6$ -- a frustrated fcc quantum magnet
• Spin-orbital entangled state and realization of Kitaev physics in 3d cobalt compounds: a progress report
• Kitaev-like honeycomb magnets: Global phase behavior and emergent effective models
• Ab initio guided minimal model for the "Kitaev" material BaCo${}_2$(AsO${}_4$)${}_2$: Importance of direct hopping, third-neighbor exchange and quantum fluctuations
• Signatures of a gearwheel quantum spin liquid in a spin-$\frac{1}{2}$ pyrochlore molybdate Heisenberg antiferromagnet
• Magnetic anisotropy reversal driven by structural symmetry-breaking in monolayer α-RuCl3
• Giant magnetic in-plane anisotropy and competing instabilities in Na3Co2SbO6
• Pressure-tuning of bond-directional exchange interactions and magnetic frustration in hyperhoneycomb iridate $\beta$-$\mathrm{L}{\mathrm{i}}_2\mathrm{Ir}{\mathrm{O}}_3$
• Classical and quantum spin dynamics of the honeycomb $\Gamma$ model
• Heisenberg-Kitaev model in a magnetic field: $1/S$ expansion
• Thermodynamic and Transport Properties in Disordered Kitaev Models
• Destabilization of magnetic order in a dilute Kitaev spin liquid candidate
• Magnetic Field Induced Competing Phases in Spin-Orbital Entangled Kitaev Magnets
• Electrical Access to Ising Anyons in Kitaev Spin Liquids
• Competition between static and dynamic magnetism in the Kitaev spin liquid material Cu2IrO3
• Dynamics of visons and thermal Hall effect in perturbed Kitaev models
• Detuning the Honeycomb of $\alpha$-RuCl${}_3$: Pressure-Dependent Optical Studies Reveal Broken Symmetry
• Deriving models for the Kitaev spin-liquid candidate material $\alpha$-RuCl${}_3$ from first principles
• Field-induced quantum spin liquid in the Kitaev-Heisenberg model and its relation to $\alpha$-RuCl${}_3$
• J-freezing and Hund's rules in spin-orbit-coupled multiorbital Hubbard models
• Electronically highly cubic conditions for Ru in alpha-RuCl3
• Role of Hydrogen in the spin-orbital-entangled quantum liquid candidate H${}_3$LiIr${}_2$O${}_6$
• The Heart of Entanglement: Chiral, Nematic, and Incommensurate Phases in the Kitaev-Gamma Ladder in a Field
• Tensor network wavefunction of $S=1$ Kitaev spin liquids
• Variational study of the Kitaev-Heisenberg-Gamma model
• Persistent low-temperature spin dynamics in the mixed-valence iridate Ba${}_3$InIr${}_2$O${}_9$
• Field-Driven Gapless Spin Liquid in the Spin-1 Kitaev Honeycomb Model
• Phase diagram of the spin-1/2 Kitaev-Gamma chain and emergent SU(2) symmetry
• Triple-q order in Na${}_2$Co${}_2$TeO${}_6$ from proximity to hidden-SU(2)-symmetric point
• Signatures of magnetic-field-driven quantum phase transitions in the entanglement entropy and spin dynamics of the Kitaev honeycomb model
• Kitaev-Heisenberg model in a magnetic field: order-by-disorder and commensurate-incommensurate transitions
• Electronic and phonon excitations in α-RuCl${}_3$
• Magnetoelastic coupling and effects of uniaxial strain in $\alpha$-RuCl${}_3$ from first principles
• Magnon damping in the zigzag phase of the Kitaev-Heisenberg-$\Gamma$ model on a honeycomb lattice
• Magnetism of Kitaev spin-liquid candidate material RuBr${}_3$
• Majorana dynamical mean-field study of spin dynamics at finite temperatures in the honeycomb Kitaev model
• Cubic symmetry and magnetic frustration on the $fcc$ spin lattice in K${}_2$IrCl${}_6$
• Ferro-octupolar order and low-energy excitations in d${}^2$ double perovskites of Osmium
• Electronic and magnetic properties of the RuX${}_3$ (X=Cl, Br, I) family: Two siblings -- and a cousin?
• Field-induced phase transitions of the Kitaev material $\alpha$-RuCl${}_3$ probed by thermal expansion and magnetostriction
• Kitaev honeycomb models in magnetic fields: Dynamical response and hidden symmetries
• Majorana-mediated spin transport without spin polarization in Kitaev quantum spin liquids
• Towards Kitaev Spin Liquid in 3d Transition Metal Compounds
• Selection of direction of the ordered moments in Na${}_2$IrO${}_3$ and $\alpha -$RuCl${}_3$
• Effective model with strong Kitaev interactions for $\alpha$-$\mathrm{RuC}{\mathrm{l}}_3$
• Spin-orbit coupled systems in the "atomic" limit: rhenates, osmates, iridates
• Vison Crystals in an Extended Kitaev Model on the Honeycomb Lattice
• Crystalline Kitaev spin liquids
• Identification of a Kitaev Quantum Spin Liquid by Magnetic Field Angle Dependence
• Revealing frustrated local moment model for pressurized hyperhoneycomb iridate: paving a way toward quantum spin liquid
• Modified Curie-Weiss Law for $j_{\mathrm{eff}}$ Magnets
• Spin dynamics and field-induced magnetic phase transition in the honeycomb Kitaev magnet $\alpha$-Li${}_2$IrO${}_3$
• From a quasimolecular band insulator to a relativistic Mott insulator in $t_{2g}^5$ systems with a honeycomb lattice structure
• Resonant x-ray scattering reveals possible disappearance of magnetic order under hydrostatic pressure in the Kitaev candidate $\gamma$-Li${}_2$IrO${}_3$
• Floquet engineering of Mott insulators with strong spin-orbit coupling
• Functional renormalization group study of the Kitaev-$\Gamma$ model on the honeycomb lattice and emergent incommensurate magnetic correlations
• Polarization-resolved Raman spectroscopy of α-RuCl3 and evidence of room temperature two-dimensional magnetic scattering
• SU(4)-symmetric spin-orbital liquids on the hyperhoneycomb lattice
• High-pressure versus isoelectronic doping effect on the honeycomb iridate Na${}_2$IrO${}_3$
• Magnon dispersion and dynamic spin response in three-dimensional spin models for $\alpha$-RuCl${}_3$
• Significant thermal Hall effect in the 3$d$ cobalt Kitaev system $N{a}_{2}C{o}_{2}Te{O}_6$
• Spin wave Hamiltonian and anomalous scattering in NiPS${}_3$
• Controlling the magnetic state of the proximate quantum spin liquid $\alpha$-RuCl${}_3$ with an optical cavity
• Computational design of $f$-electron Kitaev magnets: honeycomb and hyperhoneycomb compounds $A_2$PrO${}_3$ ($A=$ alkali metals)
• Theory of a quantum spin liquid in hydrogen-intercalated honeycomb iridate, H3LiIr2O6
• Tunneling spectroscopy as a probe of fractionalization in 2D magnetic heterostructures
• Inverse Faraday effect in Mott insulators
• Observation of a random singlet state in a diluted Kitaev honeycomb material
• $ab$-$initio$ Approaches for Low-Energy Spin Hamiltonians
• Interplay between multipolar spin interactions, Jahn-Teller effect and electronic correlation in a $J_{eff}=\frac{3}{2}$ insulator
• Novel chiral quantum spin liquids in Kitaev magnets
• Resonant Raman scattering theory for Kitaev models and their Majorana fermion boundary modes
• Spin-glass state and reversed magnetic anisotropy induced by Cr doping in the Kitaev magnet $\alpha$-RuCl${}_3$
• Thermal Hall signatures of non-Kitaev spin liquids in honeycomb Kitaev materials
• Magnetic field-dependent low-energy magnon dynamics in $\alpha$-RuCl3
• Kitaev Quantum Spin Liquids
• Revealing the Phase Diagram of Kitaev Materials by Machine Learning: Cooperation and Competition between Spin Liquids
• Ground-state phase diagram of spin-$S$ Kitaev-Heisenberg models
• Functional renormalization group for frustrated magnets with nondiagonal spin interactions
• Scanning tunneling spectroscopy of Majorana zero modes in a Kitaev spin liquid
• Spin dynamics in the Kitaev model with disorder: Quantum Monte Carlo study of dynamical spin structure factor, magnetic susceptibility, and NMR relaxation rate
• Universal Thermodynamics in the Kitaev Fractional Liquid
• Benchmarking variational quantum eigensolvers for the square-octagon-lattice Kitaev model
• Novel magnetism on a honeycomb lattice in a-RuCl3 studied by muon spin rotation
• High-resolution resonant inelastic x-ray scattering study of the electron-phonon coupling in honeycomb $\alpha$-Li${}_2$IrO${}_3$
• On the saw-tooth torque in anisotropic $j_{\mathrm{eff}}=1/2$ magnets: Application to $\alpha$-RuCl${}_3$
• Light-Induced Control of Magnetic Phases in Kitaev Quantum Magnets
• Extraction of the interaction parameters for $\alpha -$RuCl${}_3$ from neutron data using machine learning
• Cavity engineering of solid-state materials without external driving
• An Exact Chiral Amorphous Spin Liquid
• Long-range interactions in the effective low energy Hamiltonian of Sr2IrO4: a core level resonant inelastic x-ray scattering study
• Kitaev magnetism through the prism of lithium iridate
• Observing spin fractionalization in the Kitaev spin liquid via temperature evolution of indirect resonant inelastic x-ray scattering
• Investigation of the magnetoelastic coupling anisotropy in the Kitaev material $\alpha$-RuCl${}_3$
• Easy-plane anisotropic-exchange magnets on a honeycomb lattice: quantum effects and dealing with them
• Mechanism for subgap optical conductivity in honeycomb Kitaev materials
• Possible Intermediate Quantum Spin Liquid Phase in $\alpha$-RuCl${}_3$ under High Magnetic Fields up to 100 T
• Nonequilibrium Majorana Dynamics by Quenching a Magnetic Field in Kitaev Spin Liquids
• A $j_{\mathrm{eff}}=1/2$ Kitaev material on the triangular lattice: The case of NaRuO${}_2$
• Alleviating the Sign Problem in Quantum Monte Carlo Simulations of Spin-Orbit-Coupled Multi-Orbital Hubbard Models
• Quantum Phases in the Honeycomb-Lattice $J_1$--$J_3$ Ferro-Antiferromagnetic Model
• Plaquette order in classical spin liquid stabilized by strong off-diagonal exchange
• Multinode quantum spin liquids on the honeycomb lattice
• Dynamics of a j=3/2 quantum spin liquid
• Susceptibility anisotropy and its disorder evolution in models for Kitaev materials
• Field-angle dependence of thermal Hall conductivity in magnetically ordered Kitaev-Heisenberg system
• Pressure-induced structural dimerization in the hyperhoneycomb iridate $\beta$-Li${}_2$IrO${}_3$ at low temperatures
• Nearly itinerant electronic groundstate in the intercalated honeycomb iridate Ag${}_3$LiIr${}_2$O${}_6$
• Dynamics of a two-dimensional quantum spin-orbital liquid: spectroscopic signatures of fermionic magnons
• Toward cubic symmetry for Ir${}^{4+}$: structure and magnetism of antifluorite K${}_2$IrBr${}_6$
• Multiple Spin-Orbit Excitons and the Electronic Structure of $\alpha$-RuCl${}_3$
• Comprehensive study of the global phase diagram in the triangular $J$-$K$-$\Gamma$ model
• Theory of electronic magnetoelectric coupling in $d^5$ Mott insulators
• A computational method to estimate spin-orbital interaction strength in solid state systems
• Determining Kitaev interaction in spin-$S$ honeycomb Mott insulators
• Exchange interactions in $d^5$ Kitaev materials: From Na${}_2$IrO${}_3$ to $\alpha$-RuCl${}_3$
• Anisotropic temperature-field phase diagram of single-crystalline $\beta$-Li${}_2$IrO${}_3$: magnetization, specific heat, and ${}^7$Li NMR study
• Scattering Signatures of Bond-Dependent Magnetic Interactions
• Antiferromagnetic Kitaev Interactions in Polar Spin-Orbit Mott Insulators
• Spin-orbit coupling and correlations in three-orbital systems
• Ab initio determination of spin Hamiltonians with anisotropic exchange interactions: the case of the pyrochlore ferromagnet Lu${}_2$V${}_2$O${}_7$
• Thermal Hall Effect in the Kitaev-Heisenberg System with Spin-Phonon Coupling
• Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces
• Spin interaction and magnetism in cobaltate Kitaev candidate materials: an $ab$ $initio$ and model Hamiltonian approach
• Effect of ring-exchange interactions in the extended Kitaev honeycomb model
• Electronic and magnetic properties of iridium ilmenites $A$IrO${}_3$ ($A=$ Mg, Zn, and Mn)
• Ground state properties of $\mathrm{N}{\mathrm{a}}_2\mathrm{Ir}{\mathrm{O}}_3$ determined from $\text{ab initio}$ Hamiltonian and its extensions containing Kitaev and extended Heisenberg interactions
• Machine-Learned Phase Diagrams of Generalized Kitaev Honeycomb Magnets
• Magnetoelectric generation of a Majorana-Fermi surface in Kitaev's honeycomb model
• Topological superconductivity in the extended Kitaev-Heisenberg model
• Three-band Hubbard model for Na${}_2$IrO${}_3$: Topological insulator, zigzag antiferromagnet, and Kitaev-Heisenberg material
• Unusual spin dynamics in the low-temperature magnetically ordered state of Ag${}_3$LiIr${}_2$O${}_6$
• Generic Field-Driven Phenomena in Kitaev Spin Liquids: Canted Magnetism and Proximate Spin Liquid Physics
• Quantum liquids of the S=3/2 Kitaev honeycomb and related Kugel-Khomskii models
• Charge transfer energy in iridates: a hard x-ray photoelectron spectroscopy study
• Simulations of Frustrated Ising Hamiltonians with Quantum Approximate Optimization
• Anisotropy as a diagnostic test for distinct tensor network wavefunctions of integer and half-integer spin Kitaev quantum spin liquids
• Kitaev Spin Liquid Candidate OsxCl3 Comprised of Honeycomb Nano-Domains
• Detuning the Honeycomb of the α-RuCl3 Kitaev lattice: A case of Cr3+ dopant
• Evidence for magnetic fractional excitations in a Kitaev quantum-spin-liquid candidate $\alpha$-RuCl${}_3$
• Emergent orbital magnetization in Kitaev quantum magnets
• Spectroscopic signatures of molecular orbitals on a honeycomb lattice
• Hidden orders in spin-orbit entangled correlated insulators
• The Saga of $\alpha$-RuCl${}_3$: Parameters, Models, and Phase Diagrams
• Field stability of Majorana spin liquids in antiferromagnetic Kitaev models
• SU($N$) spin-wave theory: Application to spin-orbital Mott insulators
• First-principles Study on the Magnetic Interactions in Honeycomb Na2IrO3
• Local spin structure of the $\alpha$-RuCl${}_3$ honeycomb-lattice magnet observed via muon spin rotation/relaxation
• Spin vestigial orders in extended Heisenberg-Kitaev models near hidden SU(2) points: Application to Na${}_2$Co${}_2$TeO${}_6$
• Extent of frustration in the classical Kitaev-$\Gamma$ model via bond anisotropy
• Magnon interactions in the quantum paramagnetic phase of CoNb${}_2$O${}_6$
• Pressure-induced formation of rhodium zigzag chains in the honeycomb rhodate Li${}_2$RhO${}_3$
• Field-induced Kitaev multipolar liquid in spin-orbit coupled $d^2$ honeycomb Mott insulators
• Spin dynamics of counterrotating Kitaev spirals via duality
• Spin-$S$ Kitaev-Heisenberg model on the honeycomb lattice: A high-order treatment via the many-body coupled cluster method
• Ground-state properties of the $K-\Gamma$ model on a honeycomb lattice
• Toroidal magnetic molecules stripped to their basics
• Suppression of Antiferromagnetic Order by Strain in Honeycomb Cobaltate: Implication for Quantum Spin Liquid
• Electronic excitations in $\gamma$-Li${}_2$IrO${}_3$
• Magnetic vortex liquid and anomalous thermal Hall conductivity in frustrated magnets with bond-dependent interactions
• Comparing the influence of Floquet dynamics in various Kitaev-Heisenberg materials
• Low temperature enhancement of ferromagnetic Kitaev correlations in α-RuCl3
• Proximate Kitaev system for an intermediate magnetic phase in in-plane magnetic fields
• Heisenberg-Kitaev Models on Hyperhoneycomb and Stripyhoneycomb Lattices: 3D-2D Equivalence of Ordered States and Phase Diagrams
• NaRuO${}_2$: Kitaev-Heisenberg exchange in triangular-lattice setting
• Probing Majorana wavefunctions in Kitaev honeycomb spin liquids with second-order two-dimensional spectroscopy
• Spin-orbital excitons and their potential condensation in pentavalent iridates
• Symmetry analysis of bond-alternating Kitaev spin chains and ladders
• Possible Quantum Paraelectric State in Kitaev Spin Liquid Candidate H${}_3$LiIr${}_2$O${}_6$
• Nonlinear response of the Kitaev honeycomb lattice model in a weak magnetic field
• Topological edge states in single layers of honeycomb materials with strong spin-orbit coupling
• Spin excitation continuum to topological magnon crossover and thermal Hall conductivity in Kitaev magnets
• Interplay of magnetism and dimerization in pressurized Kitaev material $\beta$-Li${}_2$IrO${}_3$
• Two-step growth of high-quality single crystals of the Kitaev magnet $\alpha$-RuCl${}_3$
• 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${}_3$
• Magnetic anisotropy energies and metal-insulator transitions in monolayers of $\alpha$-RuCl${}_3$ and OsCl${}_3$ on graphene
• RIXS interferometry and the role of disorder in the quantum magnet Ba${}_3$Ti${}_{3-x}$Ir${}_x$O${}_9$
• Large off diagonal exchange couplings and spin liquid states in ${\mathbf{C}}_3$ symmetric iridates
• Model Hamiltonian for strongly-correlated systems: Systematic, self-consistent, and unique construction
• Feasibility of Kitaev quantum spin liquids in ultracold polar molecules
• Symmetry Analysis of Tensors in the Honeycomb Lattice of Edge-Sharing Octahedra
• Phase diagrams of spin-$S$ Kitaev ladders
• Light-induced magnetization driven by interorbital charge motion in a spin-orbit assisted Mott insulator alpha-RuCl3
• Incarnation of Majorana Fermions in Kitaev Quantum Spin Lattice
• Lattice dynamics and structural transition of the hyperhoneycomb iridate $\beta$-Li${}_2$IrO${}_3$ investigated by high-pressure Raman scattering
• Quantum paramagnetism in the hyperhoneycomb Kitaev magnet $\beta$-ZnIrO${}_3$
• Microscopic Roadmap to a Yao-Lee Spin-Orbital Liquid
• Differentiable programming tensor networks for Kitaev magnets
• Pressure tuning of structure, magnetic frustration and carrier conduction in Kitaev spin liquid candidate Cu${}_2$IrO${}_3$: X-ray, Raman, magnetic susceptibility, resistivity and first-principles analysis
• Scattering phenomena for spin transport in Kitaev spin liquid
• Thermodynamic evidence for field-angle dependent Majorana gap in a Kitaev spin liquid
• Soft and anisotropic local moments in 4$d$ and 5$d$ mixed-valence M${}_2$O${}_9$ dimers
• Orbital Magnetic Field Effects in Mott Insulators with Strong Spin-Orbit Coupling
• Material-based analysis of spin-orbital Mott insulators
• Magnon Condensation in Dimerized Antiferromagnets with Spin-Orbit Coupling
• Magnetic States of Graphene Proximitized Kitaev Materials
• $\text{Ab initio}$ prediction of a two-dimensional variant of the iridate IrO${}_2$
• Dynamics of fractionalized mean-field theories: consequences for Kitaev materials
• Kitaev Interactions Through an Extended Superexchange Pathway in the jeff = 1/2 Ru3+ Honeycomb Magnet, RuP3SiO11
• Field-Angle-Resolved Specific Heat in Na${}_2$Co${}_2$TeO${}_6$: Evidence against Kitaev Quantum Spin Liquid
• Topological phase diagrams of in-plane field polarized Kitaev magnets
• Origin of nonsymmorphic bosonization formulas in generalized antiferromagnetic Kitaev spin-$\frac{1}{2}$ chains from a renormalization-group perspective
• Active orbital degree of freedom and potential spin-orbit-entangled moments in Kitaev magnet candidate BaCo${}_2$(AsO${}_4$)${}_2$
• Correlation effects on the magnetization process of the Kitaev model
• Ground-State Phase Diagram of the Kitaev-Heisenberg Model on a Three-dimensional Hyperhoneycomb Lattice
• Confinement transition in a Kitaev-like honeycomb model with bond anisotropy
• Perturbed Kitaev model: excitation spectrum and long-ranged spin correlations
• On the multi-$\mathbf{q}$ characteristics of magnetic ground states of honeycomb cobalt oxides
• Spin waves and stability of zigzag order in the Hubbard model with spin-dependent hopping terms - Application to the honeycomb lattice compounds $\mathrm{N}{\mathrm{a}}_2\mathrm{Ir}{\mathrm{O}}_3$ and $\alpha -\mathrm{RuC}{\mathrm{l}}_3$
• Field-driven spatiotemporal manipulation of Majorana zero modes in a Kitaev spin liquid
• The SpinParser software for pseudofermion functional renormalization group calculations on quantum magnets
• Engineering the Kitaev spin liquid in a quantum dot system
• Hydrostatic pressure effect on Co-based honeycomb magnet BaCo2(AsO4)2
• Topological phases of higher Chern numbers in Kitaev-Heisenberg ferromagnet with further-neighbor interactions
• A theory of the quantum spin liquid in the hyper-honeycomb metal-organic framework [(C${}_2$H${}_5$)${}_3$NH]${}_2$Cu${}_2$(C${}_2$O${}_4$)${}_3$ from first principles
• Topological phase transition and nontrivial thermal Hall signatures in honeycomb lattice magnets
• Kinetic Ferromagnetism and Topological Magnons of the Hole-Doped Kitaev Spin Liquid
• Exploring rare-earth Kitaev magnets by massive-scale computational analysis
• Role of disorder in the electronic and magnetic properties of Ag${}_3$LiIr${}_2$O${}_6$
• Multinode quantum spin liquids in extended Kitaev honeycomb models: the view from variational Monte Carlo
• IrF4: From Tetrahedral Compass Model to Topological Semimetal
• Polarization-dependent magnetic properties of periodically driven $\alpha$-RuCl${}_3$
• Chemical tuning between triangular and honeycomb structures in a 5$d$ spin-orbit Mott insulator
• Interplay between multi-spin and chiral spin interactions on triangular lattice
• Magnetic versus nonmagnetic polymorphs of RuBr${}_3$ under pressure
• Nonsymmorphic bosonization in one-dimensional generalized Kitaev spin-1/2 models
• Topological property of a $t_{2g}^5$ system with a honeycomb lattice structure
• Proximity-induced sequence of field transitions in Kitaev candidate BaCo${}_2$(AsO${}_4$)${}_2$
• Static and fluctuating zigzag order, and possible signatures of Kitaev physics, in torque measurements of $\alpha$-RuCl${}_3$
• Non-local features of the spin-orbit exciton in Kitaev materials
• From linear to circular polarized light -- Floquet engineering in Kitaev-Heisenberg materials with Lissajous figures
• Cu-Sb dumbbell arrangement in the spin-orbital liquid candidate Ba${}_3$CuSb${}_2$O${}_9$
• Emergent SU(2)${}_1$ conformal symmetry in the spin-1/2 Kitaev-Gamma chain with a Dzyaloshinskii-Moriya interaction
• Dynamics of a single hole in the Heisenberg-Kitaev model: a self-consistent Born approximation study
• Conductivity of Dirac-like surface states in correlated honeycomb transition metal oxide Mott insulators
• Effective Model for Rare-earth Kitaev Materials and its Classical Monte Carlo Simulation
• Minimal models of $\alpha$-Li${}_2$IrO${}_3$: On the range of the interactions, ground state properties, and magnetization processes
• Orbitally-selective Breakdown of the Fermi Liquid and Simultaneous Enhancement of Metallic and Insulating States in Correlated Multi-band Systems with Spin-orbit Coupling
• High-field quantum spin liquid transitions and angle-field phase diagram of Kitaev magnet $\alpha$-RuCl${}_3$
• Response and phase transition of a Kitaev spin liquid in a local magnetic field
• Spin-orbit entangled moments and magnetic exchange interactions in cobalt-based honeycomb magnets BaCo${}_2$($X$O${}_4$)${}_2$ ($X$ = P, As, Sb)
• Pressure tuning of competing interactions on a honeycomb lattice
• Spectrum of the hole excitation in spin-orbit Mott insulator Na${}_2$IrO${}_3$
• Possible Realization of Kitaev Spin Liquids in van der Waals Heterostructures of $\alpha$-RuCl${}_3$ and Cr$X_3$ ($X$=Cl and I)
• Field-Induced Ordered Phases in Anisotropic Spin-1/2 Kitaev Chains
• Anisotropic Coulomb exchange as source of Kitaev and off-diagonal symmetric anisotropic couplings
• Monoclinic distortion in hyperhoneycomb Kitaev material $\beta$-ZnIrO${}_3$ revealed by improved sample quality
• Static and dynamical magnetic properties of the extended Kitaev-Heisenberg model with spin vacancies
• Sweet spot in the RuCl${}_3$ magnetic system: nearly ideal $j_{\mathrm{eff}}=1/2$ moments and maximized $K/J$ ratio under pressure
• Exchange Interactions in Rare-earth Magnets $A_2$PrO${}_3$ ($A$= alkali metals): Revisited
• Ferrimagnetism from quantum fluctuations in Kitaev materials
• Emergence of bond-dependent highly anisotropic magnetic interactions in Sr${}_4$RhO${}_6$: a theoretical study
• Pairing tendencies in the doped Kitaev-Heisenberg model
• Phase diagram for Hole-Doped Kitaev System on the Honeycomb Lattice
• Complex orders and chirality in the classical Kitaev-$\Gamma$ model
• Intermediate phases in $\alpha$-RuCl${}_3$ under in-plane magnetic field via interlayer spin interactions
• Emergent Quadrupolar Order in the Spin-$1/2$ Kitaev-Heisenberg Model
• Field tuning Kitaev systems for spin fractionalization and topological order
• Ground-state phase diagram of anisotropically interacting Heisenberg-$\Gamma$ models on a honeycomb lattice
• Electric polarization near vortices in the extended Kitaev model
• Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
• Extrinsic contribution to bosonic thermal Hall transport
• Topological Majorana flat bands in the Kitaev model on a Bishamon-kikko lattice
• A $j_{\mathrm{eff}}=1/2$ pseudospinon continuum in CaIrO${}_3$
• Intertwined Magnetic Dipolar and Electric Quadrupolar Correlations in the Pyrochlore Tb${}_2$Ge${}_2$O${}_7$
• First-principles study of bulk stacking, $J_{\mathrm{eff}}$ picture, magnetic Hamiltonian, $g$ factors, and structural distortions of $\alpha$-RuCl${}_3$
• Bond disorder in extended Heisenberg-Kitaev models: Spin textures and in-gap states in the high-field regime
• The Kekulé-Kitaev model: linear and non-linear responses and magnetic field effects
• Reviving Majorana zero modes in the spin-1/2 Kitaev ladder model
• Schwinger boson theory for $S=1$ Kitaev quantum spin liquids
• Phase diagram of the J1-J2 Heisenberg second-order topological quantum magnet
• Enhanced Magnetism and Phase Transitions in Ultrathin Quantum Spin Liquid Na2IrO3 Flakes
• Magnetostriction in the $J$-$K$-$\Gamma$ model: Application of the numerical linked cluster expansion
• Computational exploration of a viable route to Kitaev-quantum spin liquid phase in OsCl${}_3$
• Photoinduced Pseudospin Polarization in a Three-Orbital Hubbard Model
• Signatures of Floquet Engineering in the proximal Kitaev Quantum Spin Liquid H${}_3$LiIr${}_2$O${}_6$ by tr-RIXS
• Strain-induced Landau levels of Majorana fermions in an anisotropically interacting Kitaev model on a honeycomb lattice
• Temperature-dependent magnetic anisotropy from directional-dependent interactions
• Pressure-dependent magnetism of the Kitaev candidate Li${}_2$RhO${}_3$
• Vortex creation and control in the Kitaev spin liquid by local bond modulations
• Non-Loudon-Fleury Raman scattering in spin-orbit coupled Mott insulators
• Honeycomb-lattice Gamma model in a magnetic field: hidden Néel order and spin-flop transition
• Learning a compass spin model with neural network quantum states
• The field-angle anisotropy of proximate Kitaev systems under an in-plane magnetic field
• Nesting instability of gapless U(1) spin liquids with spinon Fermi pockets in two dimensions
• Designer quantum matter in van der Waals heterostructures
• Spin amplitude wave due to dipole-quadrupole hybridization in spin-1 pyrochlore magnets
• Susceptibility anisotropy and absence of ferroelectric order in the Kitaev spin liquid candidate Na${}_2$Co${}_2$TeO${}_6$
• Metallic ruthenium ilmenites: first-principles study of MgRuO${}_3$ and CdRuO${}_3$
• Tuning the Chern number of Kitaev quantum spin liquid
• From Density Functional Theory to Spin Hamiltonians: Magnetism in $d^5$ Honeycomb Compound OsCl${}_3$
• Pseudoscalar U(1) spin liquids in $\alpha$-RuCl${}_3$
• Spin-orbit driven $J_{eff}=1/2$ magnetism in a d${}^7$ triangular-lattice monolayer cobaltate
• Magnetic excitations in the Kitaev material Na${}_2$IrO${}_3$ studied by neutron scattering
• Thermal and quantum fluctuations in extended Kitaev-Yao-Lee spin-orbital model
• Kitaev interaction and possible spin liquid state in CoI2 and Co2/3Mg1/3I2
• Magnetic field effects on the Kitaev model coupled to environment
• Ground state of the staggered Heisenberg-$\Gamma$ honeycomb model in a magnetic field
• Signatures of a Majorana-Fermi surface in the Kitaev magnet Ag${}_3$LiIr${}_2$O${}_6$
• Magnetotropic Response in Ruthenium Chloride
• Strategy to Extract Kitaev Interaction using Symmetry in Honeycomb Mott Insulators
• The Role of the Third Dimension in Searching Majorana Fermions in $\alpha$-RuCl${}_3$ via Phonons