Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2

Abstract

We have performed thermodynamic and neutron scattering measurements on the S=1/2 kagome lattice antiferromagnet Zn Cu_3 (OH)_6 Cl_2. The susceptibility indicates a Curie-Weiss temperature of ~ -300 K; however, no magnetic order is observed down to 50 mK. Inelastic neutron scattering reveals a spectrum of low energy spin excitations with no observable gap down to 0.1 meV. The specific heat at low-T follows a power law with exponent less than or equal to 1. These results suggest that an unusual spin-liquid state with essentially gapless excitations is realized in this kagome lattice system.

4 pages, 3 figures; v2: Updates to authors list and references; v3: Updated version; v4: Published version

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• Scaling in Dynamic Susceptibility of Herbertsmithite and Heavy-Fermion Metals
• Disorder-induced broadening of the spin waves in a triangular-lattice quantum-spin-liquid candidate YbZnGaO${}_4$
• Spin-1/2 Heisenberg antiferromanget on kagome: a $Z_2$ spin liquid with fermionic spinons
• Nature of optical excitations in the frustrated kagome compound Herbertsmithite
• Magnetic structure and high-field magnetization of the distorted kagome lattice antiferromagnet Cs${}_2$Cu${}_3$SnF${}_{12}$
• Magnetic properties and Mott transition in the square-lattice Hubbard model with frustration
• Resonating quantum three-coloring wavefunctions for the kagome quantum antiferromagnet
• The symmetry of the spin Hamiltonian in herbertsmithite, a spin-1/2 kagomé lattice
• Spinon-Phonon Interaction in Algebraic Spin Liquids
• Variational Monte Carlo Study of the 1/9 Magnetization Plateau in Kagome Antiferromagnets
• Quantum Spin Liquid State in the Disordered Triangular Lattice Sc2Ga2CuO7
• Ba8MnNb6O24: a model two-dimensional spin-5/2 triangular lattice antiferromagnet
• Electron energy spectrum of the spin-liquid state in a frustrated Hubbard model
• Ground-state phase diagram of the Kitaev-Heisenberg model on a kagome lattice
• Numerical study of the thermodynamics of clinoatacamite
• Spin-Liquid--to--Spin-Liquid Transition in Kitaev Magnets Driven by Fractionalization
• Double magnetic transitions and exotic field induced phase in the triangular lattice antiferromagnets Sr${}_3$Co(Nb,Ta)${}_2$O${}_9$
• ${\mathbb{Z}}_2$ gauge theory for valence bond solids on the kagome lattice
• Topological order: from long-range entangled quantum matter to an unification of light and electrons
• Staircase of crystal phases of hard-core bosons on the Kagome lattice
• Featureless quantum spin liquid, 1/3-magnetization plateau state and exotic thermodynamic properties of spin-1/2 frustrated Heisenberg antiferromagnet on an infinite Husimi lattice
• Valence Bond Solid Phases on Deformed Kagome Lattices: Application to Rb2Cu3SnF12
• Frustrated magnetism in the Heisenberg pyrochlore antiferromagnets $A$Yb${}_2$$X$${}_4$ ($A$ = Cd, Mg, $X$ = S, Se)
• Lattice dynamics in the spin-1/2 frustrated kagome compound herbertsmithite
• Low-energy behavior of spin-liquid electron spectral functions
• Specific Heat of the Kagome Antiferromagnet Herbertsmithite in High Magnetic Fields
• High-field Phase Diagram and Spin Structure of Volborthite Cu3V2O7(OH)2/2H2O
• New state of matter: heavy-fermion systems, quantum spin liquids, quasicrystals, cold gases, and high temperature superconductors
• Persistent spin dynamics and absence of spin freezing in the $H$-$T$ phase diagram of the 2D triangular antiferromagnet YbMgGaO${}_4$
• How correlations change the magnetic structure factor of the kagome Hubbard model
• Proximate Dirac spin liquid in honeycomb lattice $J_1$-$J_3$ XXZ model: Numerical study and application to cobaltates
• Impurity-induced resonant spinon zero modes in Dirac quantum spin-liquids
• Magnetic resonance as a local probe for kagomé magnetism in Barlowite Cu${}_4$(OH)${}_6$FBr
• Quantum-critical scaling properties of the two-dimensional random-singlet state
• Disorder effects in the quantum kagome antiferromagnet ZnCu3(OH)6Cl2
• Signatures of fractionalization in spin liquids from interlayer thermal transport
• Recent progress on magnetic-field studies on quantum-spin-liquid candidates
• Classical and quantum order in hyperkagome antiferromagnets
• Spin Waves in the Ferromagnetic Ground State of the Kagome Staircase System Co3V2O8
• Classification of quantum phases for the star-lattice antiferromagnet via a projective symmetry group analysis
• Semionic resonating valence bond states
• The route to magnetic order in the spin-$1/2$ kagome Heisenberg antiferromagnet: The role of interlayer coupling
• Structure Factors of the Kagome-Lattice Heisenberg antiferromagnets at finite temperatures
• Semiclassical spin liquid state of easy axis Kagome antiferromagnets
• Thermodynamics of the kagome-lattice Heisenberg antiferromagnet with arbitrary spin $S$
• Possible chiral spin liquid state in the $S=1/2$ kagome Heisenberg model
• Quantum phases of the frustrated XY models on the honeycomb lattice
• Destruction of valence-bond order in a $S=1/2$ sawtooth chain with a Dzyaloshinskii-Moriya term
• Cross-over from an incommensurate singlet spiral state with a vanishingly small spin-gap to a valence bond solid state in dimerized frustrated ferromagnetic spin-chains
• Magnetization Plateau Observed by Ultra-High Field Faraday Rotation in a Kagomé Antiferromagnet Herbertsmithite
• Breakdown of Fermi liquid behavior near the hot spots in a two-dimensional model: A two-loop renormalization group analysis
• Impurities in triangular lattice spin 1/2 antiferromagnet
• Ineffectiveness of the Dzyaloshinskii-Moriya interaction in the dynamical quantum phase transition in the ITF model
• Spin Correlations in the Geometrically Frustrated Pyrochlore Tb2Mo2O7
• Structure factor of low-energy spin excitations in a S=1/2 kagome antiferromagnet
• Numerical evidence for a chiral spin liquid in the XXZ antiferromagnetic Heisenberg model on the kagome lattice at $m=\frac{2}{3}$ magnetization
• Muon-Spin Spectroscopy of the organometallic spin 1/2 kagome-lattice compound Cu(1,3-benzenedicarboxylate)
• Ordered Phases of the Anisotropic Kagome Lattice Antiferromagnet in a Field
• Topological Superconductivity in Metal/Quantum-Spin-Ice Heterostructures
• Electronic tunability of the frustrated triangular-lattice cluster magnet LiZn${}_{2-x}$Mo${}_3$O${}_8$
• Sc_{2}Ga_{2}CuO_{7}: A possible Quantum spin liquid near the percolation threshold
• Spin Liquid States at the vicinity of metal-insulator transition
• Freezing of the Lattice in the Kagome Lattice Heisenberg Antiferromagnet Zn-barlowite ZnCu${}_3$(OD)${}_6$FBr
• Competeing orders in spin-1 and spin-3/2 XXZ Kagome antiferromagnets: A series expansion study
• Linear independence of nearest-neighbor valence bond states in several two-dimensional lattices
• Ising-type quantum spin liquid state in PrMgAl${}_{11}$O${}_{19}$
• Topological phases of the Kitaev-Hubbard Model at half-filling
• Transition-metal distribution in kagome antiferromagnet CoCu3(OH)6Cl2 revealed by resonant x-ray diffraction
• Raman scattering in correlated thin films as a probe of chargeless surface states
• Ultralow-temperature heat transport in the quantum spin liquid candidate Ca10Cr7O28 with bilayer kagome lattice
• Magnetic phase diagram of Cu${}_{4-x}$Zn${}_x$(OH)${}_6$FBr studied by neutron-diffraction and $\mu$SR techniques
• Schwinger Boson mean field theory of kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interaction
• Structures of magnetic excitations in the spin-1/2 kagome-lattice antiferromagnets Cs${}_2$Cu${}_3$SnF${}_{12}$ and Rb${}_2$Cu${}_3$SnF${}_{12}$
• Low-Energy Excitations in Quantum Spin-Liquids Identified by Optical Spectroscopy
• Theory of Néel and Valence-Bond-Solid Phases on the Kagome Lattice of Zn-paratacamite
• Doping on the kagome lattice: A variational Monte-Carlo study of the $t-J$ model
• Resonating Valence-Bond State in an Orbitally Degenerate Quantum Magnet with Dynamical Jahn-Teller Effect
• Sign structures for short-range RVB states on small kagome clusters
• Antiferromagnetism in kagome $\alpha$-Cu${}_3$Mg(OH)${}_6$Br${}_2$
• Probing quantum spin liquids in equilibrium using the inverse spin Hall effect
• Spin-$\frac{1}{2}$ kagome Heisenberg antiferromagnet with strong breathing anisotropy
• Frustrated Magnetism in Triangular Lattice TlYbS${}_2$ Crystals Grown via Molten Flux
• Infrared phonons as a probe of a spin-liquid states in herbertsmithite ZnCu3(OH)6Cl2
• Ghost modes and continuum scattering in the dimerized distorted kagome lattice antiferromagnet Rb${}_2$Cu${}_3$SnF${}_{12}$
• Emergence of the spin polarized domains in the kagome lattice Heisenberg antiferromagnet Zn-barlowite (Zn${}_{0.95}$Cu${}_{0.05}$)Cu${}_3$(OD)${}_6$FBr
• Kondo physics in the algebraic spin liquid
• Unification of parton and coupled-wire approaches to quantum magnetism in two dimensions
• Evolution of the commensurate and incommensurate magnetic phases of the S = 3/2 kagome staircase Co3V2O8 in an applied field
• Thermodynamic, magnetic and transport properties of the repulsive Hubbard model on the kagome lattice
• Influence of Dzyaloshinskii-Moriya interactions on magnetic structure of a spin-1/2 deformed kagome lattice antiferromagnet
• Doped Valence Bond Solid and Superconductivity on the Shastry-Sutherland Lattice
• Spin dynamics in Heisenberg triangular antiferromagnets: A muSR study of LiCrO2
• Helical order and multiferroicity in the $S=1/2$ quasi-kagome system KCu${}_3$As${}_2$O${}_7$(OD)${}_3$
• Dynamic Spin Fluctuations in the Frustrated Spin Chain Compound Li${}_3$Cu${}_2$SbO${}_6$
• Quantum critical spin-liquid-like behavior in S = 1/2 quasikagome lattice CeRh1-xPdxSn investigated using muon spin relaxation and neutron scattering
• The Herbertsmithite Hamiltonian: $\mu$SR measurements on single crystals
• Three-dimensional nematic spin liquid in the stacked triangular lattice 6H-B structure
• Optical conductivity of visons in Z2 spin liquids close to a VBS transition on the kagome lattice
• Partial ferromagnetic ordering and indirect exchange interaction in spatially anisotropic kagome antiferromagnet Cs_2Cu_3CeF_{12}
• Unveiling the physics of the doped phase of the Kagome $t-J$ model
• Dynamic magnetism in the disordered hexagonal double perovskite BaTi${}_{1/2}$Mn${}_{1/2}$O${}_3$
• Possible realization of three-dimensional quantum spin liquid behavior in HoVO4
• Static impurities in the S=3/2 kagome lattice
• Electronic Density of States of a $U\left(1\right)$ Quantum Spin Liquid with Spinon Fermi Surface. II. Zeeman Magnetic Field Effects
• Heat conduction in herbertsmithite: field dependence at the onset of the quantum spin liquid regime
• Chiral Broken Symmetry Descendants of the Kagomé Lattice Chiral Spin Liquid
• Signatures for spinons in the quantum spin liquid candidate Ca${}_{10}$Cr${}_7$O${}_{28}$
• Role of chemical pressure on the electronic and magnetic properties of spin-1/2 kagome mineral averievite
• Heat transport in magnetic fields by quantum spin liquid in the organic insulators EtMe3Sb[Pd(dmit)2]2 and κ-(BEDT-TTF)2Cu2(CN)3
• Evidence for a Parity Broken Monoclinic Ground State in the S = 1/2 Kagomé Antiferromagnet Herbertsmithite
• Magnetic properties and magnetic structure of the frustrated quasi-one-dimensional antiferromagnet SrCuTe${}_2$O${}_6$
• Heavy fermion spin liquid in herbertsmithite
• First-principles characterization of the magnetic properties of Cu${}_2$(OH)${}_3$Br
• NMR evidence of spinon localization in kagome antiferromagnet YCu${}_3$(OH)${}_6$Br${}_2$[Br${}_{1-x}$(OH)${}_x$]
• Fermionic spin liquid analysis of the paramagnetic state in Volborthite
• Nuclear relaxation rates in the Herbertsmithite Kagome antiferromagnets ZnCu3(OH)6Cl2
• Dynamical coupling of dilute magnetic impurities with quantum spin liquid state in the S = 3/2 dimer compound Ba3ZnRu2O9
• Synthesis and pressure and field dependent magnetic properties of the Kagome-bilayer spin liquid Ca${}_{10}$Cr${}_7$O${}_{28}$
• The Kagome Antiferromagnet: A Schwinger-Boson Mean-Field Theory Study
• Magnetic field-induced instability of the cooperative paramagnetic state in Zn${}_x$Co${}_{4-x}$(OD)${}_6$Cl${}_2$
• A density-wave-like transition in the polycrystalline V3Sb2 sample with bilayer kagome lattice
• Short-range order and hidden energy scale in geometrically frustrated magnets
• Two-dimensional phase diagram of the charge density wave in doped CsV${}_3$Sb${}_5$
• First-principles study of an organometallic S=1/2 kagome compound
• Controlling the stoichiometry of the triangular lattice antiferromagnet Li${}_{1+x}$Zn${}_{2-y}$Mo${}_3$O${}_8$
• Fractionalized gapless quantum vortex liquids
• Three-dimensional higher-order saddle points induced flat bands in Co-based kagome metals
• Novel quantum spin liquid ground state in the trimer rhodate Ba${}_4$NbRh${}_3$O${}_{12}$
• Classical phase diagram of the stuffed honeycomb lattice
• Spin liquid fingerprints in the thermal transport of a Kitaev-Heisenberg ladder
• Phase diagram of a bilinear-biquadratic spin-1 model on the triangular lattice from density matrix renormalization group simulations
• Spatially anisotropic kagome antiferromagnet with Dzyaloshinskii-Moriya interaction
• Suppression of the antiferromagnetic order by Zn doping in a possible Kitaev material Na${}_2$Co${}_2$TeO${}_6$
• Electrical and thermal transport properties of kagome metals AV${}_3$Sb${}_5$ (A=K, Rb, Cs)
• Quantum spin liquid and magnetic order in a two-dimensional non-symmorphic lattice: considering the distorted Kagome lattice of Volborthite
• Effect of quenched disorder on a quantum spin liquid state of triangular-lattice antiferromagnet 1T-TaS${}_2$
• Gapless dynamic magnetic ground state in the charge-gapped trimer iridate Ba${}_4$NbIr${}_3$O${}_{12}$
• Emergence of gravity from interacting simplices
• Low-energy Majorana states in spin-liquid transitions in a three-dimensional Kitaev model
• $LnC{u}_3(OH{)}_{6}C{l}_3(Ln=Gd,Tb,Dy)$: Heavy Lanthanides on Spin-1/2 Kagome Magnets
• Formation of collective spins in frustrated clusters
• Ferrimagnetic 120${}^{\circ }$ magnetic structure in Cu2OSO4
• Tuning of magnetic frustration in $S=1/2$ Kagomé lattices {[Cu${}_3$(CO${}_3$)${}_2$$(bpe{)}_3$](ClO${}_4$)${}_2$}${}_n$ and {[Cu${}_3$(CO${}_3$)${}_2$$(bpy{)}_3$](ClO${}_4$)${}_2$}${}_n$ through rigid and flexible ligands
• The specific heat and magnetic properties of a spin-1/2 ladder including butterfly-shaped unit blocks
• Pristine Mott Insulator from an Exactly Solvable Spin-1/2 Kitaev Model
• Signatures of spin-triplet excitations in optical conductivity of valence bond solids
• Impurity effects in the quantum kagome system ZnCu3(OH)6Cl2
• Rapid filling of the spin gap with temperature in the Schwinger-boson mean-field theory of the antiferromagnetic Heisenberg kagome model
• Tunable moire spinons in magnetically encapsulated twisted van der Waals quantum spin-liquids
• Piercing the Dirac spin liquid: From a single monopole to chiral states
• Neel and Valence Bond Crystal Order on a Distorted Kagome Lattice: Implications For Zn-Paratacamite
• Controlling magnetic frustration in 1T-TaS${}_2$ via Coulomb engineered long-range interactions
• Li doping kagome spin liquid compounds
• Emergent gauge dynamics of highly frustrated magnets
• Variational Monte Carlo study of gapless spin liquid in the spin-$1/2$ XXZ antiferromagnetic model on the kagome lattice
• Breakdown of Linear Spin-wave Theory and Existence of Spinon Bound States in the Frustrated Kagome Lattice Antiferromagnet
• Effects of Dzyaloshinskii-Moriya interactions in volborthite: Magnetic orders and thermal Hall effect
• Study of the bilinear biquadratic Heisenberg model on a honeycomb lattice via Schwinger bosons
• Schwinger boson study of the $J_1$-$J_2$-$J_3$ kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions
• Magnetic phase diagram and Mott transition of the half-filled 1/5-depleted Hubbard model with frustration
• Family of exactly solvable models with an ultimative quantum paramagnetic ground state
• Exploiting polarization dependence in two dimensional coherent spectroscopy: examples of Ce${}_2$Zr${}_2$O${}_7$ and Nd${}_2$Zr${}_2$O${}_7$
• Distinct-symmetry spin liquid states and phase diagram of Kitaev-Hubbard model
• Engineering frustrated Rydberg spin models by graphical Floquet modulation
• Thermodynamic Properties of Kagome Antiferromagnets with different Perturbations
• Combinatorial exploration of quantum spin liquid candidates in the herbertsmithite material family
• Chemistry of the spin-1/2 kagome Heisenberg antiferromagnet
• Incommensurate Phase of a Triangular Frustrated Heisenberg Model Studied via Schwinger-Boson Mean-Field Theory
• Widely Spaced Planes of Magnetic Dimers in the Ba6Y2Rh2Ti2O17-δ Hexagonal Perovskite
• Magnetic Frustration in a Mn Honeycomb Lattice Induced by Mn-O-O-Mn Pathways
• Universal $T/B$ scaling behavior of heavy fermion compounds
• Finite size effects in the Z_2 spin liquid on the kagome lattice
• Bulk Crystal Growth and Single-Crystal-to-Single-Crystal Phase Transitions in the Averievite CsClCu5V2O10
• Spin glassiness and power law scaling in a quasi-triangular spin-1/2 compound
• Spin-1/2 Ising-Heisenberg Cairo pentagonal model in the presence of an external magnetic field: Effect of Landé g-factors
• Thermodynamic, dynamic and transport properties of quantum spin liquid in herbertsmithite from experimental and theoretical point of view
• Emergence of a Dimer-Dimer Interaction in the Low-Energy Effective Quantum-Dimer Model of a Diamond-Like-Decorated Square-Lattice Heisenberg Antiferromagnets with Further Neighbor Couplings
• Quantum Thermal Hall effect of chiral spinons on a Kagome strip
• Signatures of a gapless quantum spin liquid in the Kitaev material Na${}_3$Co${}_{2-x}$Zn${}_x$SbO${}_6$
• Discovering Strongly Correlated Quantum Spin Liquid
• Using Random Boundary Conditions to simulate disordered quantum spin models in 2D-systems
• Breathing-Driven Metal-Insulator Transition in Correlated Kagome Systems
• Optical conductivity and surface plasmon modes of U(1) spin liquid states with large spinon Fermi surfaces
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Phase diagram and thermal Hall conductivity of spin-liquid Kekulé-Kitaev model
• Spinon Majorana fermions
• Finite Temperature Magnetism in the Triangular Lattice Antiferromagnet KErTe2
• Magnetic transition in the $J_{\text{eff}}=1/2$ Kagomé system Sm${}_3$Sb${}_3$Zn${}_2$O${}_{14}$
• Crystal chemistry criteria of the existence of spin liquids on the kagome lattice
• Survival of magnetic correlations above ordering temperature in a ferromagnetically ordered classical kagomé magnet: Li9Cr3(P2O7)3(PO4)2
• Nature of the 1/3 Magnetization Plateau in Spin-1/2 Kagome Antiferromagnets
• Effects of exchange distortions in the magnetic Kagome lattice
• Electric Field Response In Breathing Pyrochlores
• Double-layer Kagome Metals Pt3Tl2 and Pt3In2
• Thermal Hall response of an abelian chiral spin liquid at finite temperatures
• Thermal features of Heisenberg antiferromagnets on edge- versus corner-sharing triangular-based lattices: A message from spin waves
• A Promising Method for Strongly Correlated Electrons in Two Dimensions: Gutzwiller-Guided Density Matrix Renormalization Group
• Universal behavior of quantum spin liquid and optical conductivity in the insulator herbertsmithite
• Magnetically disordered ground state in the triangular-lattice antiferromagnets Rb${}_3$Yb(VO${}_4$)${}_2$ and Cs${}_3$Yb(VO${}_4$)${}_2$
• Momentum selective optical absorption in triptycene molecular membrane
• Magnetic excitations in the 1/3 plateau state in InCu${}_3$(OH)${}_6$Cl${}_3$
• Nonlinear optical conductivity of $U(1)$ spin liquids with large spinon Fermi surfaces
• Recent progress in quantum spin liquids, fractional magnetization plateaus, and unconventional superconductivity in kagome lattices
• Strong relevance of Zinc impurity in the spin-$\frac{1}{2}$ Kagome quantum antiferromagnets: a variational study
• Impact of Oxidation State on the Valence-bond-glass Physics in the lithium-intercalated Mo${}_3$O${}_8$ Cluster Mott Insulators
• Strong coupling of lattice and orbital excitations in quantum magnet Ca${}_{10}$Cr${}_7$O${}_{28}$: Anomalous temperature dependence of Raman phonons
• Power-law dynamics in the spin-liquid kagome lattices SrCr8Ga4O19 and ZnCu3(OH)6Cl2
• Continuous interpolation between the fully frustrated Ising and quantum dimer models
• Quantifying the Phase Diagram and Hamiltonian of $S=1/2$ Kagome Antiferromagnets: Bridging Theory and Experiment
• Witnessing Disorder in Quantum Magnets
• Entanglement studies of resonating valence bonds on the frustrated square lattice
• Disorder-induced spin excitation continuum and spin-glass ground state in the inverse spinel CuGa${}_2$O${}_4$
• Spinon mediation of witness spin dynamics in herbertsmithite
• Emergent Spin-Singlet Pairing in the Frustrated Kagome Metal Sc${}_3$Mn${}_3$Al${}_7$Si${}_5$
• Dynamical spin correlations in kagome antiferromagnets: comparison of Abrikosov fermion and Schwinger boson approaches beyond mean field
• Evidence for a string-net matter
• New S=1/2 Kagome Antiferromagnets A${}_2$Cu${}_3$SnF${}_{12}$: A=Cs and Rb
• Quantum to classical transition in the ground state of a spin-$S$ quantum antiferromagnet
• Magnetism of kagome metals $\left({\text{Fe}}_{1-x}{\text{Co}}_x\right)\text{Sn}$ studied by $\mu$SR
• Effect of Dirac Spinons on ARPES signatures of Herbertsmithe
• Slow spin dynamics in the hyper-honeycomb Lattice [(C2H5)3NH]2Cu2(C2O4)3 revealed by 1H NMR studies
• Effects of the Crystalline Electric Field in the $KErT{e}_2$ Quantum Spin Liquid Candidate
• Quantum spin liquids by geometric lattice design
• Magnetodielectric Properties in Two Dimensional Magnetic Insulators
• Electron correlation effects and spin-liquid state in the Herbertsmithite Kagome lattice
• Signatures of a Majorana-Fermi surface in the Kitaev magnet Ag${}_3$LiIr${}_2$O${}_6$
• Phase-space networks and connectivity of the kagome antiferromagnet
• Emergence of topological defects and spin liquid in a two-orbital spin-fermion model on the honeycomb lattice
• Spin Liquid Mimicry in the Hydroxide Double Perovskite CuSn(OH)${}_6$ Induced by Correlated Proton Disorder
• Spin liquid and ferroelectricity close to a quantum critical point in PbCuTe${}_2$O${}_6$
• Spin disorder state induced by Mg${}^{2+}$ doping in a Kitaev material Na${}_3$Co${}_2$SbO${}_6$
• Strongly frustrated 2D magnetism in a 3D hexagonal perovskite
• Finite Spinon Density-of-States in Triangular-Lattice Delafossite TlYbSe${}_2$