Herbertsmithite and the Search for the Quantum Spin Liquid

Abstract

Quantum spin liquids form a novel class of matter where, despite the existence of strong exchange interactions, spins do not order down to the lowest measured temperature. Typically, these occur in lattices that act to frustrate the appearance of magnetism. In two dimensions, the classic example is the kagome lattice composed of corner sharing triangles. There are a variety of minerals whose transition metal ions form such a lattice. Hence, a number of them have been studied, and were then subsequently synthesized in order to obtain more pristine samples. Of particular note was the report in 2005 by Dan Nocera's group of the synthesis of herbertsmithite, composed of a lattice of copper ions sitting on a kagome lattice, which indeed does not order down to the lowest measured temperature despite the existence of a large exchange interaction of 17 meV. Over the past decade, this material has been extensively studied, yielding a number of intriguing surprises that have in turn motivated a resurgence of interest in the theoretical study of the spin 1/2 Heisenberg model on a kagome lattice. In this colloquium article, I will review these developments, and then discuss potential future directions, both experimental and theoretical, as well as the challenge of doping these materials with the hope that this could lead to the discovery of novel topological and superconducting phases.

arXiv commentcolloquium article for RMP; v4 - final version

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• Pinwheel VBS state and triplet excitations in the two-dimensional deformed kagome lattice
• Interplay of thermal and quantum spin fluctuations on the kagome lattice
• First-principles determination of Heisenberg Hamiltonian parameters for the spin-1/2 kagome antiferromagnet ZnCu3(OH)6Cl2
• Low energy excitations of the kagome antiferromagnet and the spin gap issue
• Paramagnetism in the kagome compounds (Zn,Mg,Cd)Cu${}_3$(OH)${}_6$Cl${}_2$
• Refining the Spin Hamiltonian in the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu${}_3$(OH)${}_6$Cl${}_2$ using Single Crystals
• Gapless chiral spin liquid in a kagome Heisenberg model
• Valence Bond Glass Phase in the Diluted Kagome Antiferromagnets
• Barlowite: A Spin-1/2 Antiferromagnet with a Geometrically Perfect Kagome Motif
• Synthesis and Characterization of Single Crystal Samples of Spin-$1/2$ Kagome Lattice Antiferromagnets in the Zn-Paratacamite Family Zn${}_x$Cu${}_{4-x}$(OH)${}_6$Cl${}_2$
• Toward Perfection: Kapellasite, Cu3Zn(OH)6Cl2, a New Model S = 1/2 Kagome Antiferromagnet
• Quantum spin-liquid behavior in the spin-1/2 random-bond Heisenberg antiferromagnet on the kagome lattice
• Magnetic Structure and Spin Waves in the Kagomé Jarosite compound $\mathbf{KF}{\mathbf{e}}_3(\mathbf{S}{\mathbf{O}}_4{)}_2(\mathbf{OH}{)}_6$
• Spin Liquid Ground State in the Frustrated Kagome Antiferromagnet MgCu3(OH)6Cl2
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• Mechanisms for Sub-Gap Optical Conductivity in Herbertsmithite
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• A Cu2+ (S = 1/2) Kagomé Antiferromagnet: MgxCu4-x(OH)6Cl2
• External magnetic field effects on a distorted kagome antiferromagnet
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• Emergent quasi-one-dimensionality in a kagomé magnet: A simple route to complexity
• ${\mathbb{Z}}_2$ gauge theory for valence bond solids on the kagome lattice
• Inelastic neutron scattering studies of the quantum frustrated magnet clinoatacamite, $\gamma$-Cu2(OD)3Cl, a proposed valence bond solid (VBS)

Cited by in corpus (359)

• Quantum Spin Liquids
• Models and Materials for Generalized Kitaev Magnetism
• A Field Guide to Spin Liquids
• Nature of unconventional pairing in the kagome superconductors AV${}_3$Sb${}_5$
• Rich Nature of Van Hove Singularities in Kagome Superconductor CsV${}_3$Sb${}_5$
• Kagome superconductors AV${}_3$Sb${}_5$ (A=K, Rb, Cs)
• Quantum states and intertwining phases in kagome materials
• Experimental signatures of a three-dimensional quantum spin liquid in effective spin-1/2 Ce2Zr2O7 pyrochlore
• The Chemistry of Quantum Spin Liquids
• Gapless ground state in the archetypal quantum kagome antiferromagnet ZnCu${}_3$(OH)${}_6$Cl${}_2$
• AV${}_3$Sb${}_5$ Kagome Superconductors: Progress and Future Directions
• Probing $\alpha$-RuCl${}_3$ Beyond Magnetic Order: Effects of Temperature and Magnetic Field
• Gapped spin-1/2 spinon excitations in a new kagome quantum spin liquid compound Cu${}_3$Zn(OH)${}_6$FBr
• Dynamical Time-Reversal Symmetry Breaking and Photo-Induced Chiral Spin Liquids in Frustrated Mott Insulators
• Unifying Description of Competing Orders in Two Dimensional Quantum Magnets
• Chern Fermi pocket, topological pair density wave, and charge-4e and charge-6e superconductivity in kagome superconductors
• Frustration and quantum criticality
• Competition of superconductivity and charge density wave in selective oxidized CsV3Sb5 thin flakes
• Magnetism of the N=42 kagome lattice antiferromagnet
• Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions
• Global phase diagram and quantum spin liquids in spin-1/2 triangular antiferromagnet
• Superconductivity emerging from density-wave-like order in a correlated kagome metal
• Frustrated two dimensional quantum magnets
• Electrically tunable gauge fields in tiny-angle twisted bilayer graphene
• Topological Thermal Hall Effect in Frustrated Kagomé Antiferromagnets
• Heterostrain engineering on twisted graphene bilayer around the first magic angle
• Coexistence of Tri-Hexagonal and Star-of-David Pattern in the Charge Density Wave of the Kagome Superconductor AV${}_3$Sb${}_5$
• Probing and controlling spin chirality in Mott insulators by circularly polarized laser
• Bulk evidence of anisotropic $s$-wave pairing with no sign change in the kagome superconductor CsV${}_3$Sb${}_5$
• Dynamical and thermal magnetic properties of the Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Electronic properties of α-RuCl3 in proximity to graphene
• Gapped magnetic ground state in quantum-spin-liquid candidate $\kappa$-(BEDT-TTF)${}_2$-Cu${}_2$(CN)${}_3$
• Quantum Magnetism in Minerals
• Coexistence of Multiple Stacking Charge Density Waves in Kagome Superconductor ${\mathrm{CsV}}_3{\mathrm{Sb}}_5$
• Spin liquids in geometrically perfect triangular antiferromagnets
• Cavity-induced quantum spin liquids
• Hierarchy of exchange interactions in the triangular-lattice spin-liquid YbMgGaO${}_4$
• Fractionalized excitations in the partially magnetized spin liquid candidate YbMgGaO4
• Variational Benchmarks for Quantum Many-Body Problems
• From spinon band topology to the symmetry quantum numbers of monopoles in Dirac spin liquids
• Competing superconductivity and charge-density wave in Kagome metal CsV3Sb5: evidence from their evolutions with sample thickness
• Possible Dirac quantum spin liquid in a kagome quantum antiferromagnet YCu${}_3$(OH)${}_6$Br${}_2$[Br${}_x$(OH)${}_{1-x}$]
• Competing spin liquids and hidden nematic order in spin ice with frustrated transverse exchange
• Measuring Rényi entanglement entropy with high efficiency and precision in quantum Monte Carlo simulations
• Quantum spin liquid at finite temperature: proximate dynamics and persistent typicality
• Sleuthing out exotic quantum spin liquidity in the pyrochlore magnet Ce${}_2$Zr${}_2$O${}_7$
• Chiral spin liquid on kagome antiferromagnet induced by Dzyaloshinskii-Moriya interaction
• Pressure-induced melting of magnetic order and emergence of new quantum state in alpha-RuCl3
• Symmetry Reduction in the Quantum Kagome Antiferromagnet Herbertsmithite
• Dynamics of a quantum spin liquid beyond integrability $-$ the Kitaev-Heisenberg-$\Gamma$ model in an augmented parton mean-field theory
• Strong magnetic frustration in Y${}_3$Cu${}_9$(OH)${}_{19}$Cl${}_8$: a distorted kagome antiferromagnet
• Competing magnetic orders and spin liquids in two- and three-dimensional kagome systems: A pseudo-fermion functional renormalization group perspective
• Heat transport study of the spin liquid candidate 1T-TaS2
• Kitaev-like honeycomb magnets: Global phase behavior and emergent effective models
• Signatures of a gearwheel quantum spin liquid in a spin-$\frac{1}{2}$ pyrochlore molybdate Heisenberg antiferromagnet
• Experimental signatures of quantum and topological states in frustrated magnetism
• Phase diagram of a distorted kagome antiferromagnet and application to Y-kapellasite
• Magnon crystallization in the kagome lattice antiferromagnet
• Entanglement signatures of emergent Dirac fermions: kagome spin liquid & quantum criticality
• Variational quantum eigensolver for the Heisenberg antiferromagnet on the kagome lattice
• Coexistence of magnetic order and persistent spin dynamics in a quantum kagome antiferromagnet with no intersite mixing
• From Claringbullite to a new spin liquid candidate Cu${}_3$Zn(OH)${}_6$FCl
• Detuning the Honeycomb of $\alpha$-RuCl${}_3$: Pressure-Dependent Optical Studies Reveal Broken Symmetry
• Materializing Rival Ground States in the Barlowite Family of Kagome Magnets: Quantum Spin Liquid, Spin Ordered, and Valence Bond Crystal States
• Interplay between magnetism and band topology in Kagome magnets $R$Mn${}_6$Sn${}_6$
• Gapless Spin Liquid Behavior in A Kagome Heisenberg Antiferromagnet with Randomly Distributed Hexagons of Alternate Bonds
• Quantum spin ice with frustrated transverse exchange: from pi-flux phase to nematic quantum spin liquid
• Origin of Magnetic Ordering in a Structurally-Perfect Quantum Kagome Antiferromagnet
• Negative-vector-chirality 120${}^{\circ }$ spin structure in the defect- and distortion-free quantum kagome antiferromagnet YCu${}_3$(OH)${}_6$Cl${}_3$
• Nature of the spin liquid ground state in a breathing kagome compound studied by NMR and series expansion
• Weyl magnons in noncoplanar stacked kagome antiferromagnets
• Persistent low-temperature spin dynamics in the mixed-valence iridate Ba${}_3$InIr${}_2$O${}_9$
• Enhanced Spin-polarization via Partial Ge1-dimerization as the Driving Force of the 2$\times$2$\times$2 CDW in FeGe
• Anisotropic proximity-induced superconductivity and edge supercurrent in Kagome metal, K1-xV3Sb5
• Single crystal growth of Cu4(OH)6BrF and universal behavior in quantum spin liquid candidates synthetic barlowite and herbertsmithite
• Vesignieite: a $S=\frac{1}{2}$ kagome antiferromagnet with dominant third-neighbor exchange
• Reduction of magnetic interlayer coupling in barlowite through isoelectronic substitution
• Dynamic fingerprint of fractionalized excitations in single-crystalline Cu${}_3$Zn(OH)${}_6$FBr
• Spinon Fractionalization from Dynamic Structure Factor of Spin-1/2 Heisenberg Antiferromagnet on the Kagome Lattice
• Emergent geometric frustration and flat band in moiré bilayer graphene
• Heat Transport in Herbertsmithite: Can a Quantum Spin Liquid Survive Disorder?
• Randomness induced spin-liquid-like phase in the spin-$1/2$ $J_1-J_2$ triangular Heisenberg model
• Twistronics in graphene-based van der Waals structures
• Disorder upon disorder: localization effects in the Kitaev spin liquid
• Effect of Zn doping on the antiferromagnetism in kagome Cu${}_{4-x}$Zn${}_x$(OH)${}_6$FBr
• Competing Antiferromagnetic-Ferromagnetic States in $d^7$ Kitaev Honeycomb Magnet
• Ground state phase diagram of dipolar-octupolar pyrochlores
• Gutzwiller-projected states for the $J_1$-$J_2$ Heisenberg model on the kagome lattice: achievements and pitfalls
• Synthesis-Dependent Properties of Barlowite and Zn-Substituted Barlowite
• Triangular lattice Hubbard model physics at intermediate temperatures
• Role of quantum fluctuations on spin liquids and ordered phases in the Heisenberg model on the honeycomb lattice
• Transition from a Dirac spin liquid to an antiferromagnet: Monopoles in a QED3-Gross-Neveu theory
• Electron doping of proposed quantum spin liquid kagomé Zn-Cu hydroxyl-halides produces localized states in the band gap
• Kondo screening in a charge-insulating spinon metal
• Averievite: a copper oxide kagome antiferromagnet
• Unification of bosonic and fermionic theories of spin liquids on the kagome lattice
• Ferromagnetic helical nodal line and Kane-Mele spin-orbit coupling in kagome metal Fe3Sn2
• Heat transport of the kagomé Heisenberg quantum spin liquid candidate YCu${}_3$(OH)${}_{6.5}$Br${}_{2.5}$: localized magnetic excitations and spin gap
• $\mathbf{q}=0$ long-range magnetic order in centennialite CaCu${}_3$(OD)${}_6$Cl${}_2$$\cdot$0.6D${}_2$O: A spin-1/2 perfect kagome antiferromagnet with $J_1$-$J_2$-$J_d$
• Electronic properties of correlated kagomé metals AV${}_3$Sb${}_5$(A = K, Rb, Cs): A perspective
• Epitaxy of hexagonal ABO${}_3$ quantum materials
• Emergent spin-gapped magnetization plateaus in a spin-1/2 perfect kagome antiferromagnet
• Quantum spin liquid phase in the Shastry-Sutherland model detected by an improved level spectroscopic method
• Magnetic field-dependent low-energy magnon dynamics in $\alpha$-RuCl3
• Kitaev Quantum Spin Liquids
• Electronic Landscape of Kagome Superconductors $\text{A}$V${}_3$Sb${}_5$ ($\text{A}$ = K, Rb, Cs) from Angle-Resolved Photoemission Spectroscopy
• Functional renormalization group for frustrated magnets with nondiagonal spin interactions
• Transformer Wave Function for two dimensional frustrated magnets: emergence of a Spin-Liquid Phase in the Shastry-Sutherland Model
• Schwinger boson mean field study of the $J_1$-$J_2$ Heisenberg quantum antiferromagnet on the triangular lattice
• Classical Spin Liquid State in the $S=\frac{5}{2}$ Heisenberg Kagomé Antiferromagnet Li${}_9$Fe${}_3$(P${}_2$O${}_7$)${}_3$(PO${}_4$)${}_2$
• The observation of quantum fluctuations in a kagome Heisenberg antiferromagnet
• Topological Magnetic Excitations on the Distorted Kagome Antiferromagnets: Applications to Volborthite, Vesignieite, and Edwardsite
• Kagome quantum spin systems in the atacamite family
• Unconventional Magnetic Oscillations in Kagome Mott Insulators
• Spin--lattice coupling and the emergence of the trimerized phase in the $S=1$ Kagome antiferromagnet Na${}_2$Ti${}_3$Cl${}_8$
• Investigation of the magnetoelastic coupling anisotropy in the Kitaev material $\alpha$-RuCl${}_3$
• Fermionization of Bosons in a Flat Band
• Field-induced pseudo-skyrmion phase in the antiferromagnetic kagome lattice
• Ground state stability, symmetry, and degeneracy in Mott insulators with long range interactions
• Gapless chiral spin liquid from coupled chains on the kagome lattice
• Microscopic theory of the nearest-neighbor valence bond sector of the spin-1/2 kagome antiferromagnet
• Topological spin ordering via Chern-Simons superconductivity
• Spin liquid state in a rare-earth hyperkagome lattice
• Magnetism of coupled spin tetrahedra in ilinskite-type KCu${}_5$O${}_2$(SeO${}_3$)${}_2$Cl${}_3$
• Stability frontiers in the AM${}_6$X${}_6$ kagome metals: The LnNb${}_6$Sn${}_6$ (Ln:Ce-Lu,Y) family and density-wave transition in LuNb${}_6$Sn${}_6$
• Quantum Phases in the Honeycomb-Lattice $J_1$--$J_3$ Ferro-Antiferromagnetic Model
• Structural instability and charge modulations in the Kagome superconductor $A$V${}_3$Sb${}_5$
• From kagome strip to kagome lattice: Realizations of frustrated S=1/2 antiferromagnets in Ti(III) fluorides
• Strain-induced pseudomagnetic field and quantum oscillations in kagome crystals
• Topological Hall effect induced by chiral fluctuations in ErMn6Sn6
• Intrinsic transverse field in frustrated quantum Ising magnets: its physical origin and quantum effects
• Stacking faults in $\alpha$-RuCl${}_3$ revealed by local electric polarization
• Magnetic and spin-liquid phases in the frustrated $t-t^{\prime }$ Hubbard model on the triangular lattice
• Stripe-yz magnetic order in the triangular-lattice antiferromagnet KCeS2
• Disorder-induced spin-liquid-like behavior in kagome-lattice compounds
• Possible superconductivity with Bogoliubov Fermi surface in lightly doped Kagome U(1) spin liquid
• Nuclear and Magnetic Structures of the Frustrated Quantum Antiferromagnet Barlowite, Cu${}_4$(OH)${}_6$FBr
• Electrodynamics of quantum spin liquids
• Metal-insulator transition and intermediate phases in the kagome lattice Hubbard model
• Dynamical spin correlations of the kagome antiferromagnet
• Nature of optical excitations in the frustrated kagome compound Herbertsmithite
• Disorder-induced broadening of the spin waves in a triangular-lattice quantum-spin-liquid candidate YbZnGaO${}_4$
• Uniaxial and hydrostatic pressure effects in alpha-RuCl3 single crystals via thermal-expansion measurements
• Magnetic structure and high-field magnetization of the distorted kagome lattice antiferromagnet Cs${}_2$Cu${}_3$SnF${}_{12}$
• Boron Triangular Kagome Lattice with Half-Metallic Ferromagnetism
• Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces
• Designing quantum many-body matter with conditional generative adversarial networks
• Vanishing Wilson ratio as the hallmark of quantum spin-liquid models
• Spin interaction and magnetism in cobaltate Kitaev candidate materials: an $ab$ $initio$ and model Hamiltonian approach
• Controlling frustrated magnetism on the kagome lattice by uniaxial-strain tuning
• Exact diagonalization study of the anisotropic Heisenberg model related to YbMgGaO${}_4$
• Emergent Chiral Spin State in the Mott Phase of a Bosonic Kane-Mele-Hubbard Model
• Two-Particle Self-Consistent method for the multi-orbital Hubbard model
• Impurity-induced resonant spinon zero modes in Dirac quantum spin-liquids
• Specific Heat of the Kagome Antiferromagnet Herbertsmithite in High Magnetic Fields
• Magnetic resonance as a local probe for kagomé magnetism in Barlowite Cu${}_4$(OH)${}_6$FBr
• Lattice dynamics in the spin-1/2 frustrated kagome compound herbertsmithite
• Nonlocal effects of low-energy excitations in quantum-spin-liquid candidate Cu${}_3$Zn(OH)${}_6$FBr
• Recent progress on magnetic-field studies on quantum-spin-liquid candidates
• Degenerate and chiral states in the extended Heisenberg model in the kagome lattice
• The Hubbard model on triangular $N$-leg cylinders: chiral and non-chiral spin liquids
• Flat-Band Itinerant Antiferromagnetism in the Kagome Metal CoSn1-xInx
• From frustrated magnetism to spontaneous Chern insulators
• Diagnosis of pairing symmetry by vortex and edge spectra in kagome superconductors
• Collective spinon spin wave in a magnetized U(1) spin liquid
• Magnetization Plateau Observed by Ultra-High Field Faraday Rotation in a Kagomé Antiferromagnet Herbertsmithite
• Possible chiral spin liquid state in the $S=1/2$ kagome Heisenberg model
• Tensor network approach to the fully frustrated XY model on a kagome lattice with a fractional vortex-antivortex pairing transition
• Spin Triplet Ground-State in the Copper Hexamer Compounds A2Cu3O(SO4)3 (A=Na,K)
• Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions
• Effects of spin-phonon coupling in frustrated Heisenberg models
• Quantum Annealed Criticality
• Ultralow-temperature heat transport in the quantum spin liquid candidate Ca10Cr7O28 with bilayer kagome lattice
• Locality at the boundary implies gap in the bulk for 2D PEPS
• Kagome metals
• Perfect kagome-lattice antiferromagnets with J${}_{eff}$ = 1/2: The Co${}^{2+}$-analogs of copper minerals volborthite and vesignieite
• Ising-type quantum spin liquid state in PrMgAl${}_{11}$O${}_{19}$
• The magnetic phase diagram of the frustrated spin chain compound linarite, PbCuSO${}_4$(OH)${}_2$, as seen by neutron diffraction and ${}^1$H-NMR
• The Saga of $\alpha$-RuCl${}_3$: Parameters, Models, and Phase Diagrams
• Low-Energy Excitations in Quantum Spin-Liquids Identified by Optical Spectroscopy
• Spin texture induced by non-magnetic doping and spin dynamics in 2D triangular lattice antiferromagnet h-Y(Mn,Al)O3
• Magnetic phase diagram of Cu${}_{4-x}$Zn${}_x$(OH)${}_6$FBr studied by neutron-diffraction and $\mu$SR techniques
• Low-dimensional magnetism of BaCuTe${}_2$O${}_6$
• Antiferromagnetic magnons from fractionalized excitations
• Copper Tellurium Oxides - A Playground for Magnetism
• Valence bond phases of herbertsmithite and related copper kagome materials
• Antiferromagnetism in kagome $\alpha$-Cu${}_3$Mg(OH)${}_6$Br${}_2$
• Persistent spin dynamics in the pressurized spin-liquid candidate YbMgGaO${}_4$
• Realization of Kagome Kondo lattice
• Phase diagram of the quantum spin-1/2 Heisenberg-$\Gamma$ model on a frustrated zigzag chain
• Upper branch magnetism in quantum magnets: Collapses of excited levels and emergent selection rules
• Magnetic ground states in kagome YCu${}_3$(OH)${}_6$[(Cl${}_x$Br${}_{1-x}$)${}_{3-y}$(OH)${}_y$]
• $\require{mhchem}$Quantum paramagnetism in the decorated square-kagome antiferromagnet $\ce{Na6Cu7BiO4(PO4)4Cl3}$
• Evolution of charge density waves from three-dimensional to quasi-two-dimensional in Kagome superconductors Cs(V${}_{1-x}{M}_x$)${}_3$Sb${}_5$ ($M$ = Nb, Ta)
• Quantum Annealed Criticality: A Scaling Description
• Fractional Spin fluctuations and quantum liquid signature in Gd2ZnIrO6
• Probing quantum spin liquids in equilibrium using the inverse spin Hall effect
• Melting of magnetization plateaus for kagome and square-kagome lattice antiferromagnets
• Symmetric spin liquids on the stuffed honeycomb lattice
• Improved effective vertices in the multi-orbital Two-Particle Self-Consistent method from Dynamical Mean-Field Theory
• Thermodynamic, magnetic and transport properties of the repulsive Hubbard model on the kagome lattice
• Evidence for the topological order in a kagome antiferromagnet
• 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
• Random singlet state in Ba${}_5$CuIr${}_3$O${}_{12}$ single crystals
• Anisotropic magnetic excitations from single-chirality antiferromagnetic state in Ca-kapellasite
• Unification of parton and coupled-wire approaches to quantum magnetism in two dimensions
• Magnetic ordering of the distorted kagome antiferromagnet Y${}_3$Cu${}_9$(OH)${}_{18}$[Cl${}_8$(OH)] prepared via optimal synthesis
• High energy spin excitations in the quantum spin liquid candidate Zn-barlowite probed by resonant inelastic x-ray scattering
• Helical spin liquid in a triangular XXZ magnet from Chern-Simons theory
• Magnetic terahertz resonances above the Néel temperature in the frustrated kagome antiferromagnet averievite
• Quantum critical spin-liquid-like behavior in S = 1/2 quasikagome lattice CeRh1-xPdxSn investigated using muon spin relaxation and neutron scattering
• Epitaxial stabilization of (111)-oriented frustrated quantum pyrochlore thin films
• Nematicity-enhanced superconductivity in systems with a non-Fermi liquid behavior
• Pressure-induced superconductivity in kagome single crystal Pd3P2S8
• Role of chemical pressure on the electronic and magnetic properties of spin-1/2 kagome mineral averievite
• Heat conduction in herbertsmithite: field dependence at the onset of the quantum spin liquid regime
• Evidence for a Parity Broken Monoclinic Ground State in the S = 1/2 Kagomé Antiferromagnet Herbertsmithite
• Instability of the charge density wave in Kagome magnet FeGe
• Quantum spin liquids of Rydberg excitations in a honeycomb lattice induced by density-dependent Peierls phases
• Effects of frustration on the nonequilibrium dynamics of photo-excited lattice systems
• Experimental observation of magnetic dimers in diluted Yb:YAlO${}_3$
• Magnetic properties and magnetic structure of the frustrated quasi-one-dimensional antiferromagnet SrCuTe${}_2$O${}_6$
• Hamiltonian inference from dynamical excitations in confined quantum magnets
• Magnetism study on a triangular lattice antiferromagnet Cu${}_2$(OH)${}_3$Br
• Magnetic phase diagram of a 2-dimensional triangular lattice antiferromagnet Na${}_2$BaMn(PO${}_4$)${}_2$
• Statistical learning of engineered topological phases in the kagome superlattice of AV${}_3$Sb${}_5$
• Frustrations on decorated planar lattices in Ising model
• First-principles characterization of the magnetic properties of Cu${}_2$(OH)${}_3$Br
• Monopole excitations in the $U(1)$ Dirac spin liquid on the triangular lattice
• Local evidence for collective spin excitations in the distorted kagome antiferromagnet Pr${}_3$BWO${}_9$
• Emergent photons and fractionalized excitations in a quantum spin liquid
• NMR evidence of spinon localization in kagome antiferromagnet YCu${}_3$(OH)${}_6$Br${}_2$[Br${}_{1-x}$(OH)${}_x$]
• Spin-Coupling Topology in the Copper Hexamer Compounds A${}_2$Cu${}_3$O(SO${}_4$)${}_3$ (A=Na, K)
• Pressure induced collapse of magnetic order in jarosite
• Kagome materials $A$V${}_3$Sb${}_5$ ($A$=K,Rb,Cs): pairing symmetry and pressure-tuning studies
• Characterizing Random-singlet State in Two-dimensional Frustrated Quantum Magnets and Implications for the Double Perovskite Sr${}_2$CuTe${}_{1-x}$W${}_x$O${}_6$
• Phase diagram and magnetic excitations of $J_1$-$J_3$ Heisenberg model on the square lattice
• Spin dynamics in the Dirac $U(1)$ spin liquid YbZn${}_2$GaO${}_5$
• The complex non-collinear magnetic orderings in Ba2YOsO6: A new approach to tuning spin-lattice interactions and controlling magnetic orderings in frustrated complex oxides
• Enhancement of the superconductivity and quantum metallic state in the thin film of superconducting Kagome metal KV${}_3$Sb${}_5$
• Incommensurate and multiple-$\mathbf{q}$ magnetic misfit order in the frustrated quantum-spin-ladder material antlerite, Cu${}_3$SO${}_4$(OH)${}_4$
• Thermodynamic evidence of fermionic behavior in the vicinity of one-ninth plateau in a kagome antiferromagnet
• Cascade of phase transitions and large magnetic anisotropy in a triangle-kagome-triangle trilayer antiferromagnet
• Kitaev Interactions Through an Extended Superexchange Pathway in the jeff = 1/2 Ru3+ Honeycomb Magnet, RuP3SiO11
• Anyon condensation and confinement transition in a Kitaev spin liquid bilayer
• Quantum trimer models and topological SU(3) spin liquids on the kagome lattice
• Helical superfluid in a frustrated honeycomb Bose-Hubbard model
• Pyrochlore NaYbO2: A potential Quantum Spin Liquid Candidate
• Tetragonal mixed system $C{s}_{2}CuC{l}_{4-x}B{r}_x$ complemented by the tetragonal phase realisation of $C{s}_{2}CuC{l}_4$
• Similarity of thermodynamic properties of Heisenberg model on triangular and kagome lattices
• Spontaneous magnetization of Kagome lattice in Ising model
• Orientation-dependent stabilization of MgCr${}_2$O${}_4$ spinel thin films
• Rapid filling of the spin gap with temperature in the Schwinger-boson mean-field theory of the antiferromagnetic Heisenberg kagome model
• Quantum spin liquid in an RKKY-coupled two-impurity Kondo system
• Piercing the Dirac spin liquid: From a single monopole to chiral states
• Theory of quantum kagome ice and vison zero modes
• The SpinParser software for pseudofermion functional renormalization group calculations on quantum magnets
• Transition of a prestine Mott insulator to a correlated Fermi liquid: Pressure-dependent optical investigations of a quantum spin liquid
• Controlling magnetic frustration in 1T-TaS${}_2$ via Coulomb engineered long-range interactions
• Tunable moire spinons in magnetically encapsulated twisted van der Waals quantum spin-liquids
• Cavity-Vacuum-Induced Chiral Spin Liquids in Kagome Lattices: Tuning and Probing Topological Quantum Phases via Cavity Quantum Electrodynamics
• Breakdown of Linear Spin-wave Theory and Existence of Spinon Bound States in the Frustrated Kagome Lattice Antiferromagnet
• Cluster quantum Monte Carlo study of two-dimensional weakly-coupled frustrated trimer antiferromagnets
• Non-perturbative approach to quantum liquid ground states on geometrically frustrated Heisenberg antiferromagnets
• Massive spinons in $S=1/2$ spin chains: spinon-pair operator representation
• Magnetic Phase Diagram of Rouaite, Cu${}_2$(OH)${}_3$NO${}_3$
• Frustration relief and reorientation transition in the kagome-like dolerophanite Cu${}_2$OSO${}_4$
• Li doping kagome spin liquid compounds
• Quantum spin liquid from electron-phonon coupling
• Effects of Dzyaloshinskii-Moriya interactions in volborthite: Magnetic orders and thermal Hall effect
• Schwinger boson study of the $J_1$-$J_2$-$J_3$ kagome Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions
• Bulk Crystal Growth and Single-Crystal-to-Single-Crystal Phase Transitions in the Averievite CsClCu5V2O10
• Loop Current Order on the Kagome Lattice
• Thermodynamics of the dipole-octupole pyrochlore magnet Ce${}_2$Hf${}_2$O${}_7$ in applied magnetic fields
• Combinatorial exploration of quantum spin liquid candidates in the herbertsmithite material family
• Thermodynamic, dynamic and transport properties of quantum spin liquid in herbertsmithite from experimental and theoretical point of view
• Chiral symmetry breaking through spontaneous dimerization in kagomé metals
• Revisiting spin ice physics in the ferromagnetic Ising pyrochlore Pr${}_2$Sn${}_2$O${}_7$
• Na${}_5$Co${}_{15.5}$Te${}_6$O${}_{36}$: an $S$ = 1/2 stacked Ising kagome antiferromagnet with a partially disordered ground state
• Long range 3D magnetic structures of the spin $S$=1 hexamer cluster fedotovite-like A${}_2$Cu${}_3$O(SO${}_4$)${}_3$ (A${}_2$=K${}_2$, NaK, Na${}_2$): a neutron diffraction study
• Quantum subspace expansion approach for simulating dynamical response functions of Kitaev spin liquids
• Detection of Electron Paramagnetic Resonance of Two Electron Spins Using a Single NV Center in Diamond
• van Hove Singularity-Driven Emergence of Multiple Flat Bands in Kagome Superconductors
• The spin-orbital Kitaev model: from kagome spin ice to classical fractons
• From frustration-free parent Hamiltonians to off-diagonal long-range order: Moore-Read and related states in second quantization
• Variational Quantum Simulation of Valence-Bond Solids
• Destabilization of U(1) Dirac spin-liquids on two dimensional non-bipartite lattices by quenched disorder
• RKKY plateau in zero- and one-dimensional triangular Kagome lattice models
• Simulating spin systems with Majorana networks
• Emergence of Frustrated Short-Range Order above Long-Range Order in the $S=1/2$ Kagome Antiferromagnet CaCu${}_3$(OD)${}_6$Cl${}_2\cdot 0.6$D${}_2$O
• Signatures of gapless fermionic spinons on a strip of the kagome Heisenberg antiferromagnet
• Translation-Invariant Parent Hamiltonians of Valence Bond Crystals
• Partially disordered Heisenberg antiferromagnet with short-range stripe correlations
• Quantum simulation and ground state preparation for the honeycomb Kitaev model
• Frustrations on decorated triangular lattice in Ising model
• Crystal chemistry criteria of the existence of spin liquids on the kagome lattice
• Anomalous magnetoresistance in an antiferromagnetic Kagome semimetal heterostructures
• Double-layer Kagome Metals Pt3Tl2 and Pt3In2
• Magnetic effects of non-magnetic impurities in gapped short-range resonating valence bond spin liquids
• Magnetically disordered ground state in the triangular-lattice antiferromagnets Rb${}_3$Yb(VO${}_4$)${}_2$ and Cs${}_3$Yb(VO${}_4$)${}_2$
• A Promising Method for Strongly Correlated Electrons in Two Dimensions: Gutzwiller-Guided Density Matrix Renormalization Group
• Survival of magnetic correlations above ordering temperature in a ferromagnetically ordered classical kagomé magnet: Li9Cr3(P2O7)3(PO4)2
• Hamiltonian-learning quantum magnets with non-local impurity tomography
• Flavor Nernst effects in quantum paramagnets
• Emergent dynamical Kondo coherence and competing magnetic order in a correlated kagome flat-band metal CsCr6Sb6
• Metallic layered materials with magnetic frustration: An ARPES view of the SmAuAl${}_4$Ge${}_2$ and TbAuAl${}_4$Ge${}_2$
• Weak low-temperature ferromagnetism and linear magnetoresistance in Lu${}_{0.75}$Fe${}_6$Sn${}_6$ with a disordered HfFe${}_6$Ge${}_6$-type structure
• Lattice dynamics of the frustrated kagome compound Y-kapellasite
• Topological characterization of magnon-polaron bands and thermal Hall conductivity in a frustrated kagome antiferromagnet
• Vacancies in generic Kitaev spin liquids
• Effective Field Theory of Chiral Spin Liquid between Ordered Phases in Kagomé Antiferromagnet
• Continuous order-to-order quantum phase transitions from fixed-point annihilation
• Robust spin liquid state against magnetic-dilution in the bi-layer Kagome material Ca${}_{10}$Cr${}_7$O${}_{28}$
• Negative-chirality order in $S=1/2$ kagome antiferromagnet CdCu${}_3$(OH)${}_6$(NO${}_3$)${}_2\cdot$H${}_2$O
• Power-law dynamics in the spin-liquid kagome lattices SrCr8Ga4O19 and ZnCu3(OH)6Cl2
• Valence-Bond Solid phases in the spin-$1/2$ Kekule-Heisenberg model
• Topological Aspects of Antiferromagnets
• Magnetic field-induced momentum-dependent symmetry breaking in a kagome superconductor
• Anomalous Proximitized Transport in Metal/Quantum Magnet Heterostructure $\mathrm{B}{\mathrm{i}}_2\mathrm{I}{\mathrm{r}}_2{\mathrm{O}}_7/Y{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Spin excitations arising from anisotropic Dirac spinons in YCu${}_3$(OD)${}_6$Br${}_2$[Br${}_{0.33}$(OD)${}_{0.67}$]
• Magnetic Order in Laser-Irradiated Kagome Antiferromagnets
• Electron correlation effects and spin-liquid state in the Herbertsmithite Kagome lattice
• Dynamical spin correlations in kagome antiferromagnets: comparison of Abrikosov fermion and Schwinger boson approaches beyond mean field
• Emergent Spin-Singlet Pairing in the Frustrated Kagome Metal Sc${}_3$Mn${}_3$Al${}_7$Si${}_5$
• Thermodynamics of the Heisenberg antiferromagnet on the maple-leaf lattice
• Demystifying quantum escapism on the honeycomb lattice
• Spinon mediation of witness spin dynamics in herbertsmithite
• Disorder-induced spin-cluster magnetism in a doped kagome spin liquid candidate
• The Magnetic Ground State of Atacamite Cu${}_2$Cl(OH)${}_3$: The Crucial Role of Frustrated Zigzag Chains Revealed by Inelastic Neutron Scattering
• Disorder-induced spin excitation continuum and spin-glass ground state in the inverse spinel CuGa${}_2$O${}_4$
• Fluctuating magnetism in Zn-doped averievite with well-separated kagome layers
• Quantifying the Phase Diagram and Hamiltonian of $S=1/2$ Kagome Antiferromagnets: Bridging Theory and Experiment
• Role of On-site and Inter-site Coulomb Interactions in KV${}_3$Sb${}_5$: A first-principles DFT+$U$+$V$ study
• Detecting symmetry fractionalization in gapped quantum spin liquids by magnetic impurities
• Field-induced phase transitions in the Kitaev-Heisenberg model: A sign-problem-free quantum Monte Carlo study and possible application to $\alpha$-RuCl3
• Stacking disorder in novel ABAC-stacked brochantite, Cu${}_4$SO${}_4$(OH)${}_6$
• Crystal structure, properties and pressure-induced insulator-metal transition in layered kagome chalcogenides
• Vison condensation and spinon confinement in a kagome-lattice ${\mathbb{Z}}_2$ spin liquid: A numerical study of a quantum dimer model
• Phase diagram of the J1-J2 Heisenberg second-order topological quantum magnet
• Electron-Nuclear Hyperfine Coupling in Quantum Kagome Antiferromagnets from First-Principles Calculation and a Reflection of the Defect Effect
• Magnetic Interactions in the Polar Ferrimagnet with a Bipartite Structure
• Spin Liquid Mimicry in the Hydroxide Double Perovskite CuSn(OH)${}_6$ Induced by Correlated Proton Disorder
• Electronic and structural properties of Rh- and Pd-based kagome layered shandites from first principles
• Hidden Frustration in Double-Perovskite CaFeTi${}_2$O${}_6$
• Robust semiclassical magnetization plateau in the kagome lattice
• Stabilizing Itinerant Electrons in a Corner-Sharing Kagomé Oxide Nd4Os3ZnO14
• High-field magnetic properties of the alternating ferro-antiferromagnetic spin-chain compound Cu${}_2$(OH)${}_3$Br
• Magnetic response and antiferromagnetic correlations in strained kagome ribbons
• Theory of unconventional magnetism in a Cu-based kagome metal
• An integrated theoretical and numerical approach to understand modern experiments on quantum magnetism
• Low-rank representation of tensor network operators with long-range pairwise interactions
• Collinear ferromagnetism with reduced moment length in kagome magnet Nd3Ru4Al12
• Kinetic Energy Driven Ferromagnetic Insulator
• Dirac node pinning from Dzyaloshinskii-Moriya interactions in a Kagome spin liquid
• Classification of mass terms in kagome semimetals
• Diverse electronic topography in a distorted kagome metal LaTi3Bi4
• Fermionized dual vortex theory for magnetized kagomé spin liquid
• Magnetic ground state of a Jeff = 1/2 based frustrated triangular lattice antiferromagnet
• Finite Spinon Density-of-States in Triangular-Lattice Delafossite TlYbSe${}_2$