A new spin-anisotropic harmonic honeycomb iridate

Abstract

The physics of Mott insulators underlies diverse phenomena ranging from high temperature superconductivity to exotic magnetism. Although both the electron spin and the structure of the local orbitals play a key role in this physics, in most systems these are connected only indirectly --- via the Pauli exclusion principle and the Coulomb interaction. Iridium-based oxides (iridates) open a further dimension to this problem by introducing strong spin-orbit interactions, such that the Mott physics has a strong orbital character. In the layered honeycomb iridates this is thought to generate highly spin-anisotropic interactions, coupling the spin orientation to a given spatial direction of exchange and leading to strongly frustrated magnetism. The potential for new physics emerging from such interactions has driven much scientific excitement, most recently in the search for a new quantum spin liquid, first discussed by Kitaev \cite{kitaev_anyons_2006}. Here we report a new iridate structure that has the same local connectivity as the layered honeycomb, but in a three-dimensional framework. The temperature dependence of the magnetic susceptibility exhibits a striking reordering of the magnetic anisotropy, giving evidence for highly spin-anisotropic exchange interactions. Furthermore, the basic structural units of this material suggest the possibility of a new family of structures, the `harmonic honeycomb' iridates. This compound thus provides a unique and exciting glimpse into the physics of a new class of strongly spin-orbit coupled Mott insulators.

12 pages including bibliography, 5 figures

References in corpus (3)

• Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
• On the Origin of Zigzag Magnetic Order in Iridium Oxide Na2IrO3
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Cited by in corpus (204)

• Quantum Spin Liquids
• Proximate Kitaev Quantum Spin Liquid Behaviour in α-RuCl${}_3$
• Kitaev quantum spin liquid - concept and materialization
• Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
• Neutron tomography of magnetic Majorana fermions in a proximate quantum spin liquid
• Models and Materials for Generalized Kitaev Magnetism
• A Field Guide to Spin Liquids
• Challenges in Design of Kitaev Materials: Magnetic Interactions from Competing Energy Scales
• Magnetic order in $\alpha$-RuCl${}_3$: a honeycomb lattice quantum magnet with strong spin-orbit coupling
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Evidence for a Field-induced Quantum Spin Liquid in $\alpha$-RuCl${}_3$
• Line of Dirac Nodes in Hyper-Honeycomb Lattices
• Spin-orbit excitation energies, anisotropic exchange, and magnetic phases of honeycomb RuCl3
• Hunting Majorana Fermions in Kitaev Magnets
• Orbital effects in solids: basics, recent progress and opportunities
• Kitaev-Heisenberg Hamiltonian for High-Spin $d^7$ Mott Insulators
• Vaporization of Kitaev spin liquids
• Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for honeycomb lattice iridates A2IrO3
• 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
• Non-coplanar and counter-rotating incommensurate magnetic order stabilized by Kitaev interactions in $\gamma$-Li2IrO3
• Raman Scattering Signatures of Kitaev Spin Liquids in A${}_2$ IrO${}_3$ Iridates
• Unconventional magnetic order on the hyperhoneycomb Kitaev lattice in $\beta$-Li2IrO3: full solution via magnetic resonant x-ray diffraction
• Dynamics of Fractionalization in Quantum Spin Liquids
• Classification of gapless Z2 spin liquids in three-dimensional Kitaev models
• Spin-orbit-entangled electronic phases in 4$d$ and 5$d$ transition-metal compounds
• Relation between Kitaev magnetism and structure in $\alpha$-RuCl${}_3$
• Theory of the field-revealed Kitaev spin liquid
• Frustration and anisotropic exchange in ytterbium magnets with edge-shared octahedra
• Robust non-Abelian spin liquid and possible intermediate phase in antiferromagnetic Kitaev model with magnetic field
• Low-energy Spin Dynamics of the Honeycomb Spin Liquid Beyond the Kitaev Limit
• Magnon bound states vs. anyonic Majorana excitations in the Kitaev honeycomb magnet $\alpha$-RuCl${}_3$
• Frustration and quantum criticality
• Materials design of Kitaev spin liquids beyond the Jackeli-Khaliullin mechanism
• Heisenberg-Kitaev physics in magnetic fields
• Raman spectroscopic signature of fractionalized excitations in the harmonic-honeycomb iridates $\beta$- and $\gamma$-Li${}_2$IrO${}_3$
• Spin-orbit physics of j=1/2 Mott insulators on the triangular lattice
• Antiferromagnetic resonance and terahertz continuum in $\alpha -$RuCl${}_3$
• Weyl spin liquids
• Honeycomb Layered Oxides: Structure, Energy Storage, Transport, Topology and Relevant Insights
• Emergent $\mathrm{SU}(4)$ Symmetry in $\alpha$-ZrCl${}_3$ and Crystalline Spin-Orbital Liquids
• Theory of Magnetic Phase Diagrams in Hyperhoneycomb and Harmonic-honeycomb Iridates
• Classical spin liquid instability driven by off-diagonal exchange in strong spin-orbit magnets
• Unified theory of spiral magnetism in the harmonic-honeycomb iridates α, β, γ Li2IrO3
• Antiferromagnetic Kitaev Interaction in $f$-Electron Based Honeycomb Magnets
• 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
• Exotic low-energy excitations emergent in the random Kitaev magnet Cu${}_2$IrO${}_3$
• Breakdown of magnetic order in the pressurized Kitaev iridate $\beta$-Li${}_2$IrO${}_3$
• Beyond Kitaev physics in strong spin-orbit coupled magnets
• Path to stable quantum spin liquids in spin-orbit coupled correlated materials
• Field evolution of magnons in $\alpha$-RuCl${}_3$ by high-resolution polarized terahertz spectroscopy
• Loop-nodal and Point-nodal Semimetals in Three-dimensional Honeycomb Lattices
• Quantum spin liquid at finite temperature: proximate dynamics and persistent typicality
• Theory of Raman response in three-dimensional Kitaev spin liquids: application to $\beta -$ and $\gamma -$Li${}_2$IrO${}_3$ compounds
• The range of non-Kitaev terms and fractional particles in RuCl${}_3$
• A Néel-type antiferromagnetic order in the spin 1/2 rare-earth honeycomb YbCl${}_3$
• Pressure-tuned magnetic interactions in honeycomb Kitaev materials
• 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
• Field-induced intertwined orders in 3D Mott-Kitaev honeycomb $\beta$-Li2IrO3
• Pressure-tuning of bond-directional exchange interactions and magnetic frustration in hyperhoneycomb iridate $\beta$-$\mathrm{L}{\mathrm{i}}_2\mathrm{Ir}{\mathrm{O}}_3$
• Strong effect of hydrogen order on magnetic Kitaev interactions in H${}_3$LiIr${}_2$O${}_6$
• Pressure and magnetic-field effects on metal-insulator transitions of bulk and domain-wall states in pyrochlore iridates
• Topological spinon semimetals and gapless boundary states in three dimensions
• Competition between static and dynamic magnetism in the Kitaev spin liquid material Cu2IrO3
• Quantum Spin Liquid in a Breathing Kagome Lattice
• 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${}_6$
• Scale-invariant magnetic anisotropy in RuCl${}_3$ at high magnetic fields
• Spin-Peierls Instability of Three-Dimensional Spin Liquids with Majorana Fermi Surfaces
• Kitaev-Heisenberg model in a magnetic field: order-by-disorder and commensurate-incommensurate transitions
• Resonant torsion magnetometry in anisotropic quantum materials
• Magnetic structure and excitation spectrum of the hyperhoneycomb Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• Magnon damping in the zigzag phase of the Kitaev-Heisenberg-$\Gamma$ model on a honeycomb lattice
• 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
• Two iridates, two models, two approaches: a comparative study on magnetism in 3D honeycomb materials
• Unifying Kitaev magnets, kagome dimer models and ruby Rydberg spin liquids
• Ni${}_2$Mo${}_3$O${}_8$: zig-zag antiferromagnetic order an integer spin non-centrosymmetric honeycomb lattice
• 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)
• Selection of direction of the ordered moments in Na${}_2$IrO${}_3$ and $\alpha -$RuCl${}_3$
• Polarized-neutron investigation of magnetic ordering and spin dynamics in BaCo${}_2$(AsO${}_4$)${}_2$ frustrated honeycomb-lattice magnet
• Pressure-induced collapse of spin-orbital Mott state in the hyperhoneycomb iridate $\beta$-Li${}_2$IrO${}_3$
• Spin-orbit coupled systems in the "atomic" limit: rhenates, osmates, iridates
• A universal tensor network algorithm for any infinite lattice
• Revisiting the Kitaev material candidacy of Ir4+ double perovskite iridates
• Thermal transport in a two-dimensional ${\mathbb{Z}}_2$ spin liquid
• New Honeycomb Iridium (V) Oxides: NaIrO${}_3$ and Sr${}_3$CaIr${}_2$O${}_9$
• Predominance of the Kitaev interaction in a three-dimensional honeycomb iridate: from ab-initio to spin model
• Magnetism in S=1/2 Double-Perovskites with Strong Spin-Orbit Interactions
• Modified Curie-Weiss Law for $j_{\mathrm{eff}}$ Magnets
• Revealing frustrated local moment model for pressurized hyperhoneycomb iridate: paving a way toward quantum spin liquid
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• Spin dynamics and field-induced magnetic phase transition in the honeycomb Kitaev magnet $\alpha$-Li${}_2$IrO${}_3$
• Magnetic field-induced evolution of intertwined orders in the Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• Resonant x-ray scattering reveals possible disappearance of magnetic order under hydrostatic pressure in the Kitaev candidate $\gamma$-Li${}_2$IrO${}_3$
• Comprehensive study of the phase diagram of the spin-1/2 Kitaev-Heisenberg-Gamma chain
• Robust spin correlations at high magnetic fields in the honeycomb iridates
• Computational design of $f$-electron Kitaev magnets: honeycomb and hyperhoneycomb compounds $A_2$PrO${}_3$ ($A=$ alkali metals)
• Symmetry Enrichment in Three-Dimensional Topological Phases
• $ab$-$initio$ 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
• 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
• Extended Bloch theorem for topological lattice models with open boundaries
• Quantum and classical behavior of spin-$S$ Kitaev models in an anisotropic limit
• Putative spin liquid in the triangle-based iridate Ba${}_3$IrTi${}_2$O${}_9$
• On the saw-tooth torque in anisotropic $j_{\mathrm{eff}}=1/2$ magnets: Application to $\alpha$-RuCl${}_3$
• Probing spinon nodal structures in three-dimensional Kitaev spin liquids
• Possible quantum paramagnetism in compressed Sr${}_2$IrO${}_4$
• Neutron scattering signatures of the 3D hyper-honeycomb Kitaev quantum spin-liquid
• 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
• Kitaev magnetism through the prism of lithium iridate
• Bond ordering and phase transitions in Na${}_2$IrO${}_3$ under high pressure
• Pressure-induced structural dimerization in the hyperhoneycomb iridate $\beta$-Li${}_2$IrO${}_3$ at low temperatures
• Majorana spectroscopy of 3D Kitaev spin-liquids
• Plaquette order in classical spin liquid stabilized by strong off-diagonal exchange
• Stacking faults in $\alpha$-RuCl${}_3$ revealed by local electric polarization
• Two-dimensional Valence Bond Solid (AKLT) states from $t_{2g}$ electrons
• Stripe-yz magnetic order in the triangular-lattice antiferromagnet KCeS2
• Uniaxial and hydrostatic pressure effects in alpha-RuCl3 single crystals via thermal-expansion measurements
• Magnetic three states of matter: A quantum Monte Carlo study of spin liquids
• Chiral spin-order in some purported Kitaev spin-liquid compounds
• Determining Kitaev interaction in spin-$S$ honeycomb Mott insulators
• Perovskite oxide heterojunction for Rashba-Dresselhaus assisted antiferromagnetic spintronics
• Counter-rotating spiral order in three dimensional iridates: signature of hidden symmetry in Kitaev-$\Gamma$ model
• Nature of Possible Magnetic Phases in Frustrated Hyperkagome Iridate
• Three-dimensional anomalous twisted gauge theories with global symmetry: Implications for quantum spin liquids
• Generic model for hyperkagome iridate in the local moment regime
• Magnon-spinon dichotomy in the Kitaev hyperhoneycomb $\beta$-Li${}_2$IrO${}_3$
• Generic Field-Driven Phenomena in Kitaev Spin Liquids: Canted Magnetism and Proximate Spin Liquid Physics
• Recent progress on magnetic-field studies on quantum-spin-liquid candidates
• Thermal Transport in a one-dimensional Z${}_2$ Spin Liquid
• Photoexcited states of the harmonic honeycomb iridate γ-Li${}_2$IrO${}_3$
• $\mathrm{SU}(4)$-Symmetric Quantum Spin-Orbital Liquids on Various Lattices
• Magnetism on the stretched diamond lattice in lanthanide orthotantalates
• Residual Entropy and Spin Fractionalizations in the Mixed-Spin Kitaev Model
• Thermodynamics of 3D Kitaev quantum spin liquids via tensor networks
• Raman scattering in correlated thin films as a probe of chargeless surface states
• Collective spin dynamics of Z2 vortex crystals in triangular Kitaev-Heisenberg antiferromagnets
• Non-Kitaev spin liquids in Kitaev materials
• Testing Ising Topological Order in $\alpha$-RuCl${}_3$ Under In-Plane Magnetic Fields
• Twisted Kitaev Bilayers and the Moiré Ising Model
• Weyl and nodal ring magnons in three-dimensional honeycomb lattices
• Electronic excitations in $\gamma$-Li${}_2$IrO${}_3$
• Upper branch magnetism in quantum magnets: Collapses of excited levels and emergent selection rules
• 3D Quantum Anomalous Hall Effect in Hyperhoneycomb Lattices
• Spin dynamics of counterrotating Kitaev spirals via duality
• Random singlet state in Ba${}_5$CuIr${}_3$O${}_{12}$ single crystals
• Heisenberg-Kitaev Models on Hyperhoneycomb and Stripyhoneycomb Lattices: 3D-2D Equivalence of Ordered States and Phase Diagrams
• Spin wave theory of one-dimensional generalized Kitaev model
• Reentrant incommensurate order and anomalous magnetic torque in the Kitaev magnet $\beta$-${\text{Li}}_2{\text{IrO}}_3$
• Spin-wave dynamics in the KCeS2 delafossite: A theoretical description of powder inelastic neutron-scattering data
• Information propagation in one-dimensional XY-$\Gamma$ chains
• Magnetic Excitations and Interactions in the Kitaev Hyperhoneycomb Iridate $\beta$-Li${}_2$IrO${}_3$
• Hidden spin-orbital order in the Kitaev hyperhoneycomb $\beta$-Li${}_2$IrO${}_3$
• Optical magnons with dominant bond-directional exchange interactions in a honeycomb lattice iridate $\alpha$-Li${}_2$IrO${}_3$
• Unconventional magnetic field response of the hyperhoneycomb Kitaev magnet $\beta -{\text{Li}}_2{\text{IrO}}_3$
• Symmetry-protected topological magnons in three dimensional Kitaev materials
• Quantum paramagnetism in the hyperhoneycomb Kitaev magnet $\beta$-ZnIrO${}_3$
• Lattice dynamics and structural transition of the hyperhoneycomb iridate $\beta$-Li${}_2$IrO${}_3$ investigated by high-pressure Raman scattering
• Stabilization of a honeycomb lattice of IrO${}_6$ octahedra in superlattices with ilmenite-type MnTiO${}_3$
• Improved Honeycomb and Hyperhoneycomb Lattice Hamiltonians for Quantum Simulations of Non-Abelian Gauge Theories
• Orbital Magnetic Field Effects in Mott Insulators with Strong Spin-Orbit Coupling
• Magnetic-field Induced Topological Transitions and Thermal Conductivity in a Generalized Kitaev Model
• Ground-State Phase Diagram of the Kitaev-Heisenberg Model on a Three-dimensional Hyperhoneycomb Lattice
• Active orbital degree of freedom and potential spin-orbit-entangled moments in Kitaev magnet candidate BaCo${}_2$(AsO${}_4$)${}_2$
• Low-energy Majorana states in spin-liquid transitions in a three-dimensional Kitaev model
• "Switching" of Magnetic Anisotropy in a fcc Antiferromagnet with Direction-Dependent Interactions
• Correlation effects on the magnetization process of the Kitaev model
• Defect production and quench dynamics in the three-dimensional Kitaev model
• Elastic gauge fields and zero-field 3D quantum Hall effect in hyperhoneycomb lattices
• Majorana Fermion Mean-Field Theories of Kitaev Quantum Spin Liquids
• From chiral d-wave to nodal line superconductivity in the harmonic honeycomb lattices
• Anisotropic magnetic interactions in a candidate Kitaev spin liquid close to a metal-insulator transition
• Exploration of trivial and non-trivial electronic phases and of collinear and non-collinear magnetic phases in low-spin d${}^5$ perovskites
• Projective-symmetry-group analysis of inelastic light scattering in Kitaev spin balls
• Nature of Topological Phase Transition of Kitaev Quantum Spin Liquids
• Cu-Sb dumbbell arrangement in the spin-orbital liquid candidate Ba${}_3$CuSb${}_2$O${}_9$
• Topological semimetals and insulators in three-dimensional honeycomb materials
• Ultrafast spin dynamics in the proximate quantum spin liquid α-RuCl3
• Minimal models of $\alpha$-Li${}_2$IrO${}_3$: On the range of the interactions, ground state properties, and magnetization processes
• Phase diagram and thermal Hall conductivity of spin-liquid Kekulé-Kitaev model
• Magnetic anisotropy from linear defect structures in correlated electron systems
• 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
• Magnetic correlations in the semimetallic hyper-kagome iridate Na3Ir3O8
• A $j_{\mathrm{eff}}=1/2$ pseudospinon continuum in CaIrO${}_3$
• Valence-Bond Solid phases in the spin-$1/2$ Kekule-Heisenberg model
• Signatures of fractionalization in the optical phonons of hyperhoneycomb Kitaev magnet $\beta$-Li${}_2$IrO${}_3$
• Crystal growth and magnetic anisotropy in the spin-chain ruthenate Na${}_2$RuO${}_4$
• Signature of Topological Semimetal in Harmonic-honeycomb ReO3
• Tuning magnetic interactions with nonequilibrium optical phonon populations: a theoretical study
• Field-induced phase transitions in the Kitaev-Heisenberg model: A sign-problem-free quantum Monte Carlo study and possible application to $\alpha$-RuCl3
• Ligand-SOC enhanced $4f^5$ Kitaev antiferromagnet: Application to ${\mathrm{SmI}}_3$
• Non-Loudon-Fleury Raman scattering in spin-orbit coupled Mott insulators
• Strategy to Extract Kitaev Interaction using Symmetry in Honeycomb Mott Insulators
• Collapse of susceptibility and non-trivial spin dynamics in the hyper-honeycomb magnet $\beta$-Li${}_2$IrO${}_3$ under high pressure