Hyper-honeycomb iridate $\beta$-Li2IrO3 as a platform for Kitaev magnetism

Abstract

The realization of Kitaev spin liquid, where spins on a honeycomb lattice are coupled ferromagnetically by bond-dependent anisotropic interactions, has been a sought-after dream. 5d iridium oxides $\alpha$-Li2IrO3 and $\alpha$-Na2IrO3 with a honeycomb lattice of Jeff = 1/2 moments recently emerged as a possible materialization. Strong signature of Kitaev physics, however, was not captured. Here we report the discovery of a complex iridium oxide $\beta$-Li2IrO3 with Jeff = 1/2 moments on "hyper-honeycomb" lattice, a three-dimensional analogue of honeycomb lattice. A positive Curie-Weiss temperature ${\theta }_{CW}$ ~ 40 K indicated dominant ferromagnetic interactions among Jeff = 1/2 moments in $\beta$-Li2IrO3. A magnetic ordering with a small entropy change was observed at Tc = 38 K, which, with the application of magnetic field of only 3 T, changed to a fully polarized state of Jeff = 1/2 moments. Those results imply that hyper-honeycomb beta-Li2IrO3 is located in the vicinity to a Kitaev spin liquid.

References in corpus (22)

• Anyons in an exactly solved model and beyond
• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• Spin Liquid State in an Organic Mott Insulator with Triangular Lattice
• Kitaev-Heisenberg Model on Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides $A_2$IrO${}_3$
• 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
• Spin waves and revised crystal structure of honeycomb iridate Na2IrO3
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• Direct evidence of a zigzag spin chain structure in the honeycomb lattice: A neutron and x-ray diffraction investigation on single crystal $\mathrm{N}{\mathrm{a}}_2\mathrm{Ir}{\mathrm{O}}_3$
• Long range magnetic ordering in Na${}_2$IrO${}_3$
• The magnetic and crystal structures of Sr2IrO4: A neutron diffraction study
• Finite-temperature phase diagram of the Heisenberg-Kitaev model
• Exactly solvable Kitaev model in three dimensions
• Kitaev-Heisenberg-J2-J3 model for the iridates A2IrO3
• Doping a spin-orbit Mott Insulator: Topological Superconductivity from the Kitaev-Heisenberg Model and possible application to (Na2/Li2)IrO3
• Unconventional magnetic order on the hyperhoneycomb Kitaev lattice in $\beta$-Li2IrO3: full solution via magnetic resonant x-ray diffraction
• Robustness of basal-plane antiferromagnetic order and the $J_{eff}=1/2$ state in single-layer iridate spin-orbit Mott insulators
• Neutron scattering study of correlated phase behavior in Sr2IrO4
• Spin-Orbital Locking, Emergent Pseudo-Spin, and Magnetic order in Honeycomb Lattice Iridates
• Competition between d-wave and topological p-wave superconductivity in the doped Kitaev-Heisenberg model
• Weak antiferromagnetism of J_eff=1/2 band in bilayer iridate Sr3Ir2O7

Cited by in corpus (258)

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• Models and Materials for Generalized Kitaev Magnetism
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• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Evidence for a Field-induced Quantum Spin Liquid in $\alpha$-RuCl${}_3$
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• Hunting Majorana Fermions in Kitaev Magnets
• Orbital effects in solids: basics, recent progress and opportunities
• Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for honeycomb lattice iridates A2IrO3
• The Chemistry of Quantum Spin Liquids
• Symmetry Demanded Topological Nodal-line Materials
• Incommensurate Counterrotating Magnetic Order Stabilized by Kitaev Interactions in the Layered Honeycomb $\alpha$-Li${}_2$IrO${}_3$
• The Challenge of Spin-Orbit-Tuned Ground States in Iridates
• Recent progress on correlated electron systems with strong spin-orbit coupling
• Dynamics of Fractionalization in Quantum Spin Liquids
• Classification of gapless Z2 spin liquids in three-dimensional Kitaev models
• Kitaev interactions in the Co honeycomb antiferromagnets Na${}_3$Co${}_2$SbO${}_6$ and Na${}_2$Co${}_2$TeO${}_6$
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• Relation between Kitaev magnetism and structure in $\alpha$-RuCl${}_3$
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• Heisenberg-Kitaev physics in magnetic fields
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• Raman spectroscopic signature of fractionalized excitations in the harmonic-honeycomb iridates $\beta$- and $\gamma$-Li${}_2$IrO${}_3$
• Antiferromagnetic resonance and terahertz continuum in $\alpha -$RuCl${}_3$
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• Designing Kitaev spin liquids in metal-organic frameworks
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• Magnetic order in single crystals of Na3Co2SbO6 with a honeycomb arrangement of 3d${}^7$ Co${}^{2+}$ ions
• Unconventional spin dynamics in the honeycomb-lattice material $\alpha$-RuCl${}_3$: high-field ESR studies
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• Antiferromagnetic Kitaev Interaction in $f$-Electron Based Honeycomb Magnets
• Unified theory of spiral magnetism in the harmonic-honeycomb iridates α, β, γ Li2IrO3
• Geometrical frustration versus Kitaev interactions in BaCo${}_2$(AsO${}_4$)${}_2$
• Competition between spin-orbit coupling, magnetism, and dimerization in the honeycomb iridates: $\alpha$-Li${}_2$IrO${}_3$ under pressure
• Functional renormalization group for three-dimensional quantum magnetism
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• Determination of Hund's coupling in 5d Oxides using Resonant Inelastic X-ray Scattering
• Kitaev materials beyond iridates: order by quantum disorder and Weyl magnons in rare-earth double perovskites
• Single crystal growth from separated educts and its application to lithium transition-metal oxides
• Beyond Kitaev physics in strong spin-orbit coupled magnets
• Breakdown of magnetic order in the pressurized Kitaev iridate $\beta$-Li${}_2$IrO${}_3$
• Exotic low-energy excitations emergent in the random Kitaev magnet Cu${}_2$IrO${}_3$
• Field evolution of magnons in $\alpha$-RuCl${}_3$ by high-resolution polarized terahertz spectroscopy
• Path to stable quantum spin liquids in spin-orbit coupled correlated materials
• Loop-nodal and Point-nodal Semimetals in Three-dimensional Honeycomb Lattices
• Quantum spin liquid at finite temperature: proximate dynamics and persistent typicality
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• Theory of Raman response in three-dimensional Kitaev spin liquids: application to $\beta -$ and $\gamma -$Li${}_2$IrO${}_3$ compounds
• Pressure-tuned magnetic interactions in honeycomb Kitaev materials
• A Néel-type antiferromagnetic order in the spin 1/2 rare-earth honeycomb YbCl${}_3$
• 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
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• Competition between static and dynamic magnetism in the Kitaev spin liquid material Cu2IrO3
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• Unraveling the nature of magnetism of the 5${\mathbf{d}}^4$ double perovskite Ba${}_2$YIrO${}_6$
• Role of Hydrogen in the spin-orbital-entangled quantum liquid candidate H${}_3$LiIr${}_2$O${}_6$
• Spin-Peierls Instability of Three-Dimensional Spin Liquids with Majorana Fermi Surfaces
• Magnetic structure and excitation spectrum of the hyperhoneycomb Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• Kitaev-Heisenberg model in a magnetic field: order-by-disorder and commensurate-incommensurate transitions
• The vicinity of hyper-honeycomb $\beta$-Li2IrO3 to a three-dimensional Kitaev spin liquid state
• Majorana dynamical mean-field study of spin dynamics at finite temperatures in the honeycomb Kitaev model
• Ground state and low-energy excitations of the Kitaev-Heisenberg ladder
• Unifying Kitaev magnets, kagome dimer models and ruby Rydberg spin liquids
• Two iridates, two models, two approaches: a comparative study on magnetism in 3D honeycomb materials
• Ni${}_2$Mo${}_3$O${}_8$: zig-zag antiferromagnetic order an integer spin non-centrosymmetric honeycomb lattice
• Majorana-mediated spin transport without spin polarization in Kitaev quantum spin liquids
• Local Magnetism and Spin Dynamics of the Frustrated Honeycomb Rhodate Li2RhO3
• Highly-anisotropic exchange interactions of $j_{\mathrm{eff}}=1/2$ iridium moments on the fcc lattice in La${}_{2}B$IrO${}_6$ ($B$ $=$ Mg, Zn)
• Towards Kitaev Spin Liquid in 3d Transition Metal Compounds
• Selection of direction of the ordered moments in Na${}_2$IrO${}_3$ and $\alpha -$RuCl${}_3$
• Spin-orbit coupled systems in the "atomic" limit: rhenates, osmates, iridates
• Crystalline Kitaev spin liquids
• A universal tensor network algorithm for any infinite lattice
• Thermal transport in a two-dimensional ${\mathbb{Z}}_2$ spin liquid
• Pressure-induced collapse of spin-orbital Mott state in the hyperhoneycomb iridate $\beta$-Li${}_2$IrO${}_3$
• Revisiting the Kitaev material candidacy of Ir4+ double perovskite iridates
• Synthesis, magnetization and heat capacity of triangular lattice materials NaErSe${}_2$ and KErSe${}_2$
• Competing Antiferromagnetic-Ferromagnetic States in $d^7$ Kitaev Honeycomb Magnet
• Thermodynamic classification of three-dimensional Kitaev spin liquids
• Predominance of the Kitaev interaction in a three-dimensional honeycomb iridate: from ab-initio to spin model
• Ordered states in the Kitaev-Heisenberg model: From 1D chains to 2D honeycomb
• Spin dynamics and field-induced magnetic phase transition in the honeycomb Kitaev magnet $\alpha$-Li${}_2$IrO${}_3$
• Revealing frustrated local moment model for pressurized hyperhoneycomb iridate: paving a way toward quantum spin liquid
• Resonant x-ray scattering reveals possible disappearance of magnetic order under hydrostatic pressure in the Kitaev candidate $\gamma$-Li${}_2$IrO${}_3$
• Temperature evolution of spin dynamics in two- and three-dimensional Kitaev models: Influence of fluctuating gauge fluxes
• Magnetic field-induced evolution of intertwined orders in the Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• SU(4)-symmetric spin-orbital liquids on the hyperhoneycomb lattice
• Functional renormalization group study of the Kitaev-$\Gamma$ model on the honeycomb lattice and emergent incommensurate magnetic correlations
• Symmetry Enrichment in Three-Dimensional Topological Phases
• Validity and limitations of the superexchange model for the magnetic properties of Sr2IrO4 and Ba2IrO4 mediated by the strong spin-orbit coupling
• Collective excitations in the tetravalent lanthanide honeycomb antiferromagnet, Na2PrO3
• Robust spin correlations at high magnetic fields in the honeycomb iridates
• Tunneling spectroscopy as a probe of fractionalization in 2D magnetic heterostructures
• Computational design of $f$-electron Kitaev magnets: honeycomb and hyperhoneycomb compounds $A_2$PrO${}_3$ ($A=$ alkali metals)
• Magnetic anisotropy of the alkali iridate Na${}_2$IrO${}_3$ at high magnetic fields: evidence for strong ferromagnetic Kitaev correlations
• $ab$-$initio$ Approaches for Low-Energy Spin Hamiltonians
• Resonant inelastic x-ray scattering study of $\alpha$-RuCl${}_3$: a progress report
• Resonant Raman scattering theory for Kitaev models and their Majorana fermion boundary modes
• Clustering of Topological Charges in a Kagome Classical Spin Liquid
• Anisotropic exchange coupling and ground state phase diagram of Kitaev compound YbOCl
• Kitaev Quantum Spin Liquids
• Revealing the Phase Diagram of Kitaev Materials by Machine Learning: Cooperation and Competition between Spin Liquids
• Multiferroicity in spin ice: towards a magnetic crystallography of Tb2Ti2O7 in a field
• High-resolution resonant inelastic x-ray scattering study of the electron-phonon coupling in honeycomb $\alpha$-Li${}_2$IrO${}_3$
• Quantum and classical behavior of spin-$S$ Kitaev models in an anisotropic limit
• Probing spinon nodal structures in three-dimensional Kitaev spin liquids
• On the saw-tooth torque in anisotropic $j_{\mathrm{eff}}=1/2$ magnets: Application to $\alpha$-RuCl${}_3$
• Putative spin liquid in the triangle-based iridate Ba${}_3$IrTi${}_2$O${}_9$
• Neutron scattering signatures of the 3D hyper-honeycomb Kitaev quantum spin-liquid
• Possible quantum paramagnetism in compressed Sr${}_2$IrO${}_4$
• Kitaev magnetism through the prism of lithium iridate
• Chemical- and hydrostatic-pressure effects on the Kitaev honeycomb material Na${}_2$IrO${}_3$
• Long-range interactions in the effective low energy Hamiltonian of Sr2IrO4: a core level resonant inelastic x-ray scattering study
• Observing spin fractionalization in the Kitaev spin liquid via temperature evolution of indirect resonant inelastic x-ray scattering
• Easy-plane anisotropic-exchange magnets on a honeycomb lattice: quantum effects and dealing with them
• Bond ordering and phase transitions in Na${}_2$IrO${}_3$ under high pressure
• Dynamics of a j=3/2 quantum spin liquid
• Majorana spectroscopy of 3D Kitaev spin-liquids
• Stacking faults in $\alpha$-RuCl${}_3$ revealed by local electric polarization
• Plaquette order in classical spin liquid stabilized by strong off-diagonal exchange
• Pressure-induced structural dimerization in the hyperhoneycomb iridate $\beta$-Li${}_2$IrO${}_3$ at low temperatures
• Stripe-yz magnetic order in the triangular-lattice antiferromagnet KCeS2
• Two-dimensional Valence Bond Solid (AKLT) states from $t_{2g}$ electrons
• Unconventional magnetism in the 4d${}^4$ based ($S=1$) honeycomb system Ag${}_3$LiRu${}_2$O${}_6$
• Uniaxial and hydrostatic pressure effects in alpha-RuCl3 single crystals via thermal-expansion measurements
• Anisotropic temperature-field phase diagram of single-crystalline $\beta$-Li${}_2$IrO${}_3$: magnetization, specific heat, and ${}^7$Li NMR study
• Magnetic three states of matter: A quantum Monte Carlo study of spin liquids
• Counter-rotating spiral order in three dimensional iridates: signature of hidden symmetry in Kitaev-$\Gamma$ model
• Ground-state phase diagram of the Kitaev-Heisenberg model on a kagome lattice
• Majorana Landau Level Raman Spectroscopy
• Nature of Possible Magnetic Phases in Frustrated Hyperkagome Iridate
• Three-dimensional anomalous twisted gauge theories with global symmetry: Implications for quantum spin liquids
• Generic Field-Driven Phenomena in Kitaev Spin Liquids: Canted Magnetism and Proximate Spin Liquid Physics
• Majorana correlations in the Kitaev model with ordered-flux structures
• Magnon-spinon dichotomy in the Kitaev hyperhoneycomb $\beta$-Li${}_2$IrO${}_3$
• Role of the spin-orbit coupling in the Kugel-Khomskii model on the honeycomb lattice
• Two-dimensional 5d multiferroic W3Cl8: breathing Kagome lattice and tunable magneto-optical Kerr effect
• Spin-orbit effects in pentavalent Iridates: Models and materials
• Vacancies in the Kitaev quantum spin liquids on the 3D hyper-honeycomb lattice
• Possibility to realize spin-orbit-induced correlated physics in iridium fluorides
• Generic model for hyperkagome iridate in the local moment regime
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• $\mathrm{SU}(4)$-Symmetric Quantum Spin-Orbital Liquids on Various Lattices
• Photoexcited states of the harmonic honeycomb iridate γ-Li${}_2$IrO${}_3$
• Non-Kitaev spin liquids in Kitaev materials
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• Spin dynamics of counterrotating Kitaev spirals via duality
• Electronic excitations in $\gamma$-Li${}_2$IrO${}_3$
• Field evolution of low-energy excitations in the hyperhoneycomb magnet $\beta$-Li${}_2$IrO${}_3$
• Twisted Kitaev Bilayers and the Moiré Ising Model
• Honeycomb oxide heterostructure: a new platform for Kitaev quantum spin liquid
• Weyl and nodal ring magnons in three-dimensional honeycomb lattices
• Resonant inelastic x-ray scattering spectra in the hyperhoneycomb iridate $\beta$-Li${}_2$IrO${}_3$: First principles calculations
• Upper branch magnetism in quantum magnets: Collapses of excited levels and emergent selection rules
• Spin liquid in twisted homobilayers group-VI gichalcogenides
• Counterroating incommensurate magnetic order and strong quantum fluctuations in the honeycomb layers of $\mathrm{NaN}{\mathrm{i}}_2\mathrm{Bi}{\mathrm{O}}_6$
• Effect of disorder on the dimer transition of the honeycomb-lattice compound Li${}_2$RuO${}_3$
• Heisenberg-Kitaev Models on Hyperhoneycomb and Stripyhoneycomb Lattices: 3D-2D Equivalence of Ordered States and Phase Diagrams
• Interplay of magnetism and dimerization in pressurized Kitaev material $\beta$-Li${}_2$IrO${}_3$
• Reentrant incommensurate order and anomalous magnetic torque in the Kitaev magnet $\beta$-${\text{Li}}_2{\text{IrO}}_3$
• Magnetic Excitations and Interactions in the Kitaev Hyperhoneycomb Iridate $\beta$-Li${}_2$IrO${}_3$
• Spin-wave dynamics in the KCeS2 delafossite: A theoretical description of powder inelastic neutron-scattering data
• Single-crystal study of the honeycomb XXZ magnet BaCo${}_2$(PO${}_4$)${}_2$ in magnetic fields
• Evidences for the random singlet phase in a new honeycomb iridate SrIr${}_2$O${}_{6-\delta }$
• Ground State Magnetic Structure and Magnetic Field Effects in the Layered Honeycomb Antiferromagnet YbOCl
• Steplike metamagnetic transitions in a honeycomb lattice antiferromagnet Tb${}_2$Ir${}_3$Ga${}_9$
• Optical magnons with dominant bond-directional exchange interactions in a honeycomb lattice iridate $\alpha$-Li${}_2$IrO${}_3$
• Hidden spin-orbital order in the Kitaev hyperhoneycomb $\beta$-Li${}_2$IrO${}_3$
• Thermal conductivity of local moment models with strong spin-orbit coupling
• Unconventional magnetic field response of the hyperhoneycomb Kitaev magnet $\beta -{\text{Li}}_2{\text{IrO}}_3$
• Lattice dynamics and structural transition of the hyperhoneycomb iridate $\beta$-Li${}_2$IrO${}_3$ investigated by high-pressure Raman scattering
• Symmetry-protected topological magnons in three dimensional Kitaev materials
• Quantum paramagnetism in the hyperhoneycomb Kitaev magnet $\beta$-ZnIrO${}_3$
• Orbital Magnetic Field Effects in Mott Insulators with Strong Spin-Orbit Coupling
• Supersymmetry on the lattice: Geometry, Topology, and Flat Bands
• Improved Honeycomb and Hyperhoneycomb Lattice Hamiltonians for Quantum Simulations of Non-Abelian Gauge Theories
• Magnetic Transitions in the Chiral Armchair-Kagome System Mn${}_2$Sb${}_2$O${}_7$
• Stabilization of a honeycomb lattice of IrO${}_6$ octahedra in superlattices with ilmenite-type MnTiO${}_3$
• The honeycomb and hyperhoneycomb polymorphs of IrI${}_3$
• Signatures of non-Loudon-Fleury Raman scattering in the Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• Emergent quantum Majorana metal from a chiral spin liquid
• Ground-State Phase Diagram of the Kitaev-Heisenberg Model on a Three-dimensional Hyperhoneycomb Lattice
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• "Switching" of Magnetic Anisotropy in a fcc Antiferromagnet with Direction-Dependent Interactions
• Topological magnons in Kitaev magnets with finite Dzyaloshinskii-Moriya interaction at high field
• Defect production and quench dynamics in the three-dimensional Kitaev model
• Kitaev quasiparticles in a proximate spin liquid: A many-body localization perspective
• Bound states of fractionalized excitations in a modulated Kitaev spin liquid
• Sachdev-Ye-Kitaev type physics in the strained Kitaev honeycomb model
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• Topological nodal superconducting phases and topological phase transition in the hyperhoneycomb lattice
• From chiral d-wave to nodal line superconductivity in the harmonic honeycomb lattices
• Chemical tuning between triangular and honeycomb structures in a 5$d$ spin-orbit Mott insulator
• Entanglement in 3D Kitaev Spin Liquids
• Kernel Polynomial Method for Linear Spin Wave Theory
• Effect of delithiation on the dimer transition of the honeycomb-lattice ruthenate Li${}_{2-x}$RuO${}_3$
• Design and theory of switchable linear magnetoelectricity by ferroelectricity in Type-I multiferroics
• $J_{\mathrm{eff}}$ = 1/2 Hyperoctagon Lattice in Cobalt Oxalate Metal-Organic-Framework
• Cu-Sb dumbbell arrangement in the spin-orbital liquid candidate Ba${}_3$CuSb${}_2$O${}_9$
• Theory of rare-earth Kramers magnets on a Shastry-Sutherland lattice: dimer phases in presence of strong spin-orbit coupling
• Projective-symmetry-group analysis of inelastic light scattering in Kitaev spin balls
• Soft-Chemical Synthesis, Structure Evolution, and Insulator-to-Metal Transition in a Prototypical Metal Oxide, λ-RhO${}_2$
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• Pressure tuning of competing interactions on a honeycomb lattice
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• Minimal models of $\alpha$-Li${}_2$IrO${}_3$: On the range of the interactions, ground state properties, and magnetization processes
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• Rotational phase transitions in antifluorite-type osmate and iridate compounds
• Effective Model for Rare-earth Kitaev Materials and its Classical Monte Carlo Simulation
• Topological semimetals and insulators in three-dimensional honeycomb materials
• Emergent Quadrupolar Order in the Spin-$1/2$ Kitaev-Heisenberg Model
• The nature of low-temperature spin-freezing in frustrated Kitaev magnets
• Ground state and magnetic transitions of the orthorhombic antiferromagnet CaCo${}_2$TeO${}_6$
• The ground state in a proximity to a possible Kitaev spin liquid: An undistorted honeycomb iridate NaxIrO3 (0.60 < x < 0.80)
• Barrier tunneling of the Loop-Nodal Semimetal in the Hyperhoneycomb lattice
• Intermediate phases in $\alpha$-RuCl${}_3$ under in-plane magnetic field via interlayer spin interactions
• Spin-$1$ $J_1-J_2-J_3$ ferromagnetic Heisenberg model with an easy-plane crystal field on the cubic lattice: A bosonic approach
• Valence-Bond Solid phases in the spin-$1/2$ Kekule-Heisenberg model
• The free energy of anisotropic quantum spin systems: Functional integral representation
• Magnetic correlations in the semimetallic hyper-kagome iridate Na3Ir3O8
• A $j_{\mathrm{eff}}=1/2$ pseudospinon continuum in CaIrO${}_3$
• Signatures of fractionalization in the optical phonons of hyperhoneycomb Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• Majorana Gap Formation in the Anisotropic Kitaev Model with Ordered Flux Configuration
• Signature of Topological Semimetal in Harmonic-honeycomb ReO3
• Field-induced phase transitions in the Kitaev-Heisenberg model: A sign-problem-free quantum Monte Carlo study and possible application to $\alpha$-RuCl3
• High-pressure floating zone crystal growth of Sr${}_2$IrO${}_4$
• Crystal growth and magnetic anisotropy in the spin-chain ruthenate Na${}_2$RuO${}_4$
• Nature of the Topological Transition of the Kitaev Model in [111] Magnetic Field
• Collapse of susceptibility and non-trivial spin dynamics in the hyper-honeycomb magnet $\beta$-Li${}_2$IrO${}_3$ under high pressure
• Real-space chirality from crystalline topological defects in the Kitaev spin liquid
• Three-dimensional spin-orbital liquids