Quantum Spin Liquid States

Abstract

This article is an introductory review of the physics of quantum spin liquid (QSL) states. Quantum magnetism is a rapidly evolving field, and recent developments reveal that the ground states and low-energy physics of frustrated spin systems may develop many exotic behaviors once we leave the regime of semi-classical approaches. The purpose of this article is to introduce these developments. The article begins by explaining how semi-classical approaches fail once quantum mechanics become important and then describes the alternative approaches for addressing the problem. We discuss mainly spin $1/2$ systems, and we spend most of our time in this article on one particular set of plausible spin liquid states in which spins are represented by fermions. These states are spin-singlet states and may be viewed as an extension of Fermi liquid states to Mott insulators, and they are usually classified in the category of so-called $SU(2)$, $U(1)$ or $Z_2$ spin liquid states. We review the basic theory regarding these states and the extensions of these states to include the effect of spin-orbit coupling and to higher spin ($S>1/2$) systems. Two other important approaches with strong influences on the understanding of spin liquid states are also introduced: (i) matrix product states and projected entangled pair states and (ii) the Kitaev honeycomb model. Experimental progress concerning spin liquid states in realistic materials, including anisotropic triangular lattice systems ($\kappa$-(ET)${}_2$Cu${}_2$(CN)${}_3$ and EtMe${}_3$Sb[(Pd(dmit)${}_2$]${}_2$), kagome lattice systems (ZnCu${}_3$(OH)${}_6$Cl${}_2$) and hyperkagome lattice systems (Na${}_4$Ir${}_3$O${}_8$), is reviewed and compared against the corresponding theories.

Invited by RMP

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Cited by in corpus (946)

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• Herbertsmithite and the Search for the Quantum Spin Liquid
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• Time-reversal symmetry-breaking charge order in a kagome superconductor
• Physics of the Kitaev model: fractionalization, dynamical correlations, and material connections
• Concurrence of anomalous Hall effect and charge density wave in a superconducting topological kagome metal
• Giant and anisotropic many-body spin-orbit tunability in a strongly correlated kagome magnet
• Unusual competition of superconductivity and charge-density-wave state in a compressed topological kagome metal
• Topological spin excitations in honeycomb ferromagnet CrI${}_3$
• Chiral flux phase in the Kagome superconductor AV${}_3$Sb${}_5$
• Field-tunable quantum disordered ground state in the triangular lattice antiferromagnet NaYbO${}_2$
• Hunting Majorana Fermions in Kitaev Magnets
• Kagome superconductors AV${}_3$Sb${}_5$ (A=K, Rb, Cs)
• Experimental identification of quantum spin liquids
• Orbital effects in solids: basics, recent progress and opportunities
• Quantum phases driven by strong correlations
• Signatures of Dirac cones in a DMRG study of the Kagome Heisenberg model
• Twofold symmetry of $c$-axis resistivity in topological kagome superconductor CsV${}_3$Sb${}_5$ with in-plane rotating magnetic field
• Kitaev-Heisenberg Hamiltonian for High-Spin $d^7$ Mott Insulators
• Electronic nature of chiral charge order in the kagome superconductor CsV3Sb5
• Chiral spin liquid phase of the triangular lattice Hubbard model: a density matrix renormalization group study
• Intertwined magnetism and charge density wave order in kagome FeGe
• Intrinsic nature of chiral charge order in the kagome superconductor RbV3Sb5
• NaYbS${}_2$ - a new planar spin-$\frac{1}{2}$ triangular-lattice magnet and putative spin liquid
• Experimental signatures of a three-dimensional quantum spin liquid in effective spin-1/2 Ce2Zr2O7 pyrochlore
• Gapless ground state in the archetypal quantum kagome antiferromagnet ZnCu${}_3$(OH)${}_6$Cl${}_2$
• Anisotropic field-induced ordering in the triangular-lattice quantum spin liquid NaYbSe${}_2$
• Quantum-Coherent Nanoscience
• Imaging spinon density modulations in a 2D quantum spin liquid
• The 2021 Quantum Materials Roadmap
• Dirac Spin Liquid on the Spin-1/2 Triangular Heisenberg Antiferromagnet
• Tunable nodal kagome superconductivity in charge ordered RbV3Sb5
• Microscopic mechanism for higher-spin Kitaev model
• Probing $\alpha$-RuCl${}_3$ Beyond Magnetic Order: Effects of Temperature and Magnetic Field
• Evidence of Spin Frustration in Vanadium Diselenide Monolayer Magnet
• Variational Quantum Eigensolver with Fewer Qubits
• Highly-robust reentrant superconductivity in CsV3Sb5 under pressure
• Field-induced instability of the quantum-spin-liquid ground state in the $J_{\mathrm{eff}}=\frac{1}{2}$ triangular-lattice compound NaYbO${}_2$
• Dirac-type nodal spin liquid revealed by refined quantum many-body solver using neural-network wave function, correlation ratio, and level spectroscopy
• Dynamical Time-Reversal Symmetry Breaking and Photo-Induced Chiral Spin Liquids in Frustrated Mott Insulators
• Theory of the field-revealed Kitaev spin liquid
• Robust non-Abelian spin liquid and possible intermediate phase in antiferromagnetic Kitaev model with magnetic field
• Anisotropic-Exchange Magnets on a Triangular Lattice: Spin Waves, Accidental Degeneracies, and Dual Spin Liquids
• Spin-liquid-like state in a spin-1/2 square-lattice antiferromagnet perovskite induced by $d^{10}$-$d^0$ cation mixing
• Frustration and quantum criticality
• Materials design of Kitaev spin liquids beyond the Jackeli-Khaliullin mechanism
• Heisenberg-Kitaev physics in magnetic fields
• Charge density wave orders and enhanced superconductivity under pressure in the kagome metal CsV3Sb5
• Ferrimagnetism and anisotropic phase tunability by magnetic fields in Na${}_2$Co${}_2$TeO${}_6$
• Superconductivity emerging from density-wave-like order in a correlated kagome metal
• Spinon Fermi surface spin liquid in a triangular lattice antiferromagnet NaYbSe${}_2$
• Restricted Boltzmann Machines for Quantum States with Nonabelian or Anyonic Symmetries
• Possible itinerant excitations and quantum spin state transitions in the effective spin-1/2 triangular-lattice antiferromagnet Na${}_2$BaCo(PO${}_4$)${}_2$
• Frustration- and doping-induced magnetism in a Fermi-Hubbard simulator
• Universal Quantum Hamiltonians
• Honeycomb Layered Oxides: Structure, Energy Storage, Transport, Topology and Relevant Insights
• Magnetic field induced quantum phases in a tensor network study of Kitaev magnets
• Witnessing quantum criticality and entanglement in the triangular antiferromagnet KYbSe${}_2$
• Anisotropic susceptibilities in the honeycomb Kitaev system $\alpha$-RuCl${}_3$
• Evidence of a hidden flux phase in the topological kagome metal CsV${}_3$Sb${}_5$
• Landau Quantization and Highly Mobile Fermions in an Insulator
• Coexisting localized and itinerant gapless excitations in a quantum spin liquid candidate 1T-TaS${}_2$
• Quantum-centric Supercomputing for Materials Science: A Perspective on Challenges and Future Directions
• Bridging Hubbard Model Physics and Quantum Hall Physics in Trilayer Graphene/h-BN moiré superlattice
• Quantum simulation with hybrid tensor networks
• Gapped magnetic ground state in quantum-spin-liquid candidate $\kappa$-(BEDT-TTF)${}_2$-Cu${}_2$(CN)${}_3$
• Dynamical and thermal magnetic properties of the Kitaev spin liquid candidate $\alpha$-RuCl${}_3$
• Electronic properties of α-RuCl3 in proximity to graphene
• Rank-2 $U(1)$ spin liquid on the breathing pyrochlore lattice
• Absence of magnetic thermal conductivity in the quantum spin liquid candidate EtMe3Sb[Pd(dmit)2]2 -- revisited
• Magnetic field induced intermediate quantum spin-liquid with a spinon Fermi surface
• Pinch Point Singularities of Tensor Spin Liquids
• Quantum Spin Liquids Unveil the Genuine Mott State
• Lattice Quantum Electrodynamics in (3+1)-dimensions at finite density with Tensor Networks
• Tensor lattice field theory with applications to the renormalization group and quantum computing
• Dynamical structure factor of the three-dimensional quantum spin liquid candidate NaCaNi${}_2$F${}_7$
• Quantum Magnetism in Minerals
• Coexistence of Multiple Stacking Charge Density Waves in Kagome Superconductor ${\mathrm{CsV}}_3{\mathrm{Sb}}_5$
• Antiferromagnetic Kitaev Interaction in $f$-Electron Based Honeycomb Magnets
• Geometrical frustration versus Kitaev interactions in BaCo${}_2$(AsO${}_4$)${}_2$
• A Class of Compounds Featuring Frustrated Triangular Magnetic Lattice CsRESe${}_2$ (RE=La-Lu): Quantum Spin-Liquid Candidates
• Spin liquids in geometrically perfect triangular antiferromagnets
• Probing hidden spin order with interpretable machine learning
• Spin excitations in the frustrated triangular lattice antiferromagnet NaYbO${}_2$
• Cavity-induced quantum spin liquids
• Unifying Neural-network Quantum States and Correlator Product States via Tensor Networks
• Excitations in the ordered and paramagnetic states of honeycomb magnet Na2Co2TeO6
• Designing light-element materials with large effective spin-orbit coupling
• Toward scalable simulations of Lattice Gauge Theories on quantum computers
• Hierarchy of exchange interactions in the triangular-lattice spin-liquid YbMgGaO${}_4$
• Dynamical structure factor of the triangular antiferromagnet: the Schwinger boson theory beyond the mean field approach
• Site-resolved imaging of ultracold fermions in a triangular-lattice quantum gas microscope
• Fractonic line excitations : an inroad from 3d elasticity theory
• Tunneling spectroscopy of quantum spin liquids
• Fractionalized excitations in the partially magnetized spin liquid candidate YbMgGaO4
• Fermionic Lieb-Schultz-Mattis Theorems and Weak Symmetry-Protected Phases
• Dominant Kitaev interactions in the honeycomb materials Na${}_3$Co${}_2$SbO${}_6$ and Na${}_2$Co${}_2$TeO${}_6$
• Topological magnons for thermal Hall transport in frustrated magnets with bond-dependent interactions
• From spinon band topology to the symmetry quantum numbers of monopoles in Dirac spin liquids
• Possible Dirac quantum spin liquid in a kagome quantum antiferromagnet YCu${}_3$(OH)${}_6$Br${}_2$[Br${}_x$(OH)${}_{1-x}$]
• Observation of Nagaoka Polarons in a Fermi-Hubbard Quantum Simulator
• Quantum spin liquid at finite temperature: proximate dynamics and persistent typicality
• Intrinsic Mixed-state Topological Order
• Evidence for a quantum dipole liquid state in an organic quasi-two-dimensional material
• Stiefel Liquids: Possible Non-Lagrangian Quantum Criticality from Intertwined Orders
• Two-dimensional Holstein-Hubbard model: Critical temperature, Ising universality, and bipolaron liquid
• Doped Mott Insulators in the Triangular Lattice Hubbard Model
• Magnetic Couplings in Edge-Sharing High-Spin $d^7$ Compounds
• Testing Electron-phonon Coupling for the Superconductivity in Kagome Metal $\mathrm{Cs}{\mathrm{V}}_3\mathrm{S}{\mathrm{b}}_5$
• Harnessing the Quantum Behavior of Spins on Surfaces
• Chiral spin liquid with spinon Fermi surfaces in spin-$1/2$ triangular Heisenberg model
• Critical Spin Liquid versus Valence Bond Glass in Triangular Lattice Organic $\kappa$-(ET)${}_2$Cu${}_2$(CN)${}_3$
• Pseudogaps in strongly interacting Fermi gases
• Mixed-state long-range order and criticality from measurement and feedback
• Pressure-induced melting of magnetic order and emergence of new quantum state in alpha-RuCl3
• Phase diagram of the anisotropic triangular lattice Hubbard model
• A new class of bilayer kagome lattice compounds with Dirac nodal lines and pressure-induced superconductivity
• Survival of itinerant excitations and quantum spin state transitions in YbMgGaO${}_4$ with chemical disorder
• Heat transport study of the spin liquid candidate 1T-TaS2
• Dynamical Signature of Symmetry Fractionalization in Frustrated Magnets
• Molecular Quantum Materials: Electronic Phases and Charge Dynamics in Two-Dimensional Organic Solids
• 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
• Evidence for a spinon Kondo effect in cobalt atoms on single-layer 1T-TaSe${}_2$
• Magnetic field induced quantum spin liquid in the two coupled trillium lattices of K${}_2$Ni${}_2$(SO${}_4$)${}_3$
• Quantum Spin Liquid with Emergent Chiral Order in the Triangular-lattice Hubbard Model
• Giant magnetic in-plane anisotropy and competing instabilities in Na3Co2SbO6
• Entanglement signatures of emergent Dirac fermions: kagome spin liquid & quantum criticality
• Yb delafossites: unique exchange frustration of 4f spin 1/2 moments on a perfect triangular lattice
• Metal-free magnetism in chemically doped covalent organic frameworks
• Coexistence of magnetic order and persistent spin dynamics in a quantum kagome antiferromagnet with no intersite mixing
• Tuning the $S=1/2$ square-lattice antiferromagnet Sr${}_2$Cu(Te${}_{1-x}$W${}_x$)O${}_6$ from Néel order to quantum disorder to columnar order
• Magnetic Field Induced Competing Phases in Spin-Orbital Entangled Kitaev Magnets
• From Claringbullite to a new spin liquid candidate Cu${}_3$Zn(OH)${}_6$FCl
• Quantum-disordered state of magnetic and electric dipoles in a hydrogen-bonded Mott system
• Electrical Access to Ising Anyons in Kitaev Spin Liquids
• Topological superconductivity in the doped chiral spin liquid on the triangular lattice
• Emergence of Chiral Spin Liquids via Quantum Melting of Non-Coplanar Magnetic Orders
• Detuning the Honeycomb of $\alpha$-RuCl${}_3$: Pressure-Dependent Optical Studies Reveal Broken Symmetry
• Gapless Spin Liquid Behavior in A Kagome Heisenberg Antiferromagnet with Randomly Distributed Hexagons of Alternate Bonds
• Spectroscopic fingerprints of gapped quantum spin liquids, both conventional and fractonic
• Mott Transition and Superconductivity in Quantum Spin Liquid Candidate NaYbSe${}_2$
• 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
• SU$(3{)}_1$ Chiral Spin Liquid on the Square Lattice: a View from Symmetric PEPS
• Quasi-continuous transition from a Fermi liquid to a spin liquid
• Negative-vector-chirality 120${}^{\circ }$ spin structure in the defect- and distortion-free quantum kagome antiferromagnet YCu${}_3$(OH)${}_6$Cl${}_3$
• Parallel assembly of arbitrary defect-free atom arrays with a multi-tweezer algorithm
• Spin Excitation Spectra of Anisotropic Spin-$1/2$ Triangular Lattice Heisenberg Antiferromagnets
• Weyl magnons in noncoplanar stacked kagome antiferromagnets
• How transverse thermal fluctuations disorder a condensate of chiral spirals into a quantum spin liquid
• Crystal field Hamiltonian and anisotropy in KErSe2 and CsErSe2
• Field-Driven Gapless Spin Liquid in the Spin-1 Kitaev Honeycomb Model
• Crystal field splitting, local anisotropy, and low energy excitations in the quantum magnet YbCl${}_3$
• Phase diagram of the spin-1/2 Kitaev-Gamma chain and emergent SU(2) symmetry
• Self-induced spin glass state in elemental and crystalline neodymium
• Spiral spin-liquid on a honeycomb lattice
• Unveiling the S=3/2 Kitaev Honeycomb Spin Liquids
• Electrically controlled superconductor-insulator transition and giant anomalous Hall effect in kagome metal CsV3Sb5 nanoflakes
• High-throughput search for magnetic topological materials using spin-orbit spillage, machine-learning and experiments
• Absence of long-range order in a triangular spin system with dipolar interactions
• Efficient adiabatic demagnetization refrigeration to below 50 mK with UHV compatible Ytterbium diphosphates $A$YbP${}_2$O${}_7$ ($A=$Na, K)
• A cascade of phase transitions in an orbitally mixed half-filled Landau level
• Persistence of the gapless spin liquid in the breathing kagome Heisenberg antiferromagnet
• Magnetic Field Induced Spin Liquids in S=1 Kitaev Honeycomb Model
• Quantum spin liquid in the semiclassical regime
• Dynamic fingerprint of fractionalized excitations in single-crystalline Cu${}_3$Zn(OH)${}_6$FBr
• Quantum Spin Liquid with Even Ising Gauge Field Structure on Kagome Lattice
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• Tensor network representations of parton wave functions
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• LiYbSe2: Frustrated Magnetism in a New Pyrochlore Lattice
• Characterizing spin-one Kitaev quantum spin liquids
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• Electron Spin Resonance on the spin-1/2 triangular magnet NaYbS2
• Instabilities of a U(1) quantum spin liquid in disordered non-Kramers pyrochlores
• Witnessing Entanglement and Quantum Correlations in Condensed Matter: A Review
• Disorder upon disorder: localization effects in the Kitaev spin liquid
• Non-linear magnons and exchange Hamiltonians of delafossite proximate quantum spin liquids
• Spin Nematics Meet Spin Liquids: Exotic Quantum Phases in the Spin-$1$ Bilinear-Biquadratic Model with Kitaev Interactions
• Gapless quantum spin liquid in the triangular system Sr${}_3$CuSb${}_2$O${}_9$
• Spectral evidence for Dirac spinons in a kagome lattice antiferromagnet
• Replica symmetry breaking in the RKKY skyrmion crystal system
• Identification of a Kitaev Quantum Spin Liquid by Magnetic Field Angle Dependence
• Screening promising CsV3Sb5-like kagome materials from systematic first-principles evaluation
• Dynamical Study of the Origin of the Charge Density Wave in $A$V${}_3$Sb${}_5$ ($A=$K, Rb, Cs) Compounds
• Spectroscopic Evidence for a Three-Dimensional Charge Density Wave in Kagome Superconductor CsV${}_3$Sb${}_5$
• Magnetic clustering, half-moons, and shadow pinch points as signals of a proximate Coulomb phase in frustrated Heisenberg magnets
• Quantum Phase Diagram and Spontaneously Emergent Topological Chiral Superconductivity in Doped Triangular-Lattice Mott Insulators
• Abelian SU$(N{)}_1$ Chiral Spin Liquids on the Square Lattice
• Gutzwiller-projected states for the $J_1$-$J_2$ Heisenberg model on the kagome lattice: achievements and pitfalls
• Emergence of large quantum oscillation frequencies in thin flakes of the kagome superconductor CsV${}_3$Sb${}_5$
• Transition from a Dirac spin liquid to an antiferromagnet: Monopoles in a QED3-Gross-Neveu theory
• Role of quantum fluctuations on spin liquids and ordered phases in the Heisenberg model on the honeycomb lattice
• Magnetic excitations of the field induced states in BaCo2(AsO4)2 probed by time-domain terahertz spectroscopy
• Frustration enhanced by Kitaev exchange in a ${\tilde{\mathbf{j}}}_{\text{eff}}=\frac{1}{2}$ triangular antiferromagnet
• Averievite: a copper oxide kagome antiferromagnet
• Probing resonating valence bonds on a programmable germanium quantum simulator
• SU(4)-symmetric spin-orbital liquids on the hyperhoneycomb lattice
• Density-functional theory for systems with noncollinear spin: orbital-dependent exchange-correlation functionals and their application to the Hubbard dimer
• Majorana representations of spin and an alternative solution of the Kitaev honeycomb model
• Extreme Suppression of Antiferromagnetic Order and Critical Scaling in a Two-Dimensional Random Quantum Magnet
• Relativistic Self-Consistent $GW$: Exact Two-Component Formalism with One-Electron Approximation for Solids
• Tunneling spectroscopy as a probe of fractionalization in 2D magnetic heterostructures
• Emergent Gauge Theory in Rydberg Atom Arrays
• Novel spin-orbit coupling driven emergent states in iridate-based heterostructures
• Computational design of $f$-electron Kitaev magnets: honeycomb and hyperhoneycomb compounds $A_2$PrO${}_3$ ($A=$ alkali metals)
• Floquet Hofstadter Butterfly on the Kagome and Triangular Lattices
• Superconductivity in the doped quantum spin liquid on the triangular lattice
• Heat transport of the kagomé Heisenberg quantum spin liquid candidate YCu${}_3$(OH)${}_{6.5}$Br${}_{2.5}$: localized magnetic excitations and spin gap
• Valence-bond solids, vestigial order, and emergent SO(5) symmetry in a two-dimensional quantum magnet
• $ab$-$initio$ Approaches for Low-Energy Spin Hamiltonians
• Plaquette Singlet Transition, Magnetic Barocaloric Effect, and Spin Supersolidity in the Shastry-Sutherland Model
• Thermal Transport for Probing Quantum Materials
• Quantum liquid from strange frustration in the trimer magnet Ba4Ir3O10
• Superconducting pairing symmetry in the kagome-lattice Hubbard model
• Interlayer Coupling Effect on a Bilayer Kitaev Model
• Disorder-Assisted Assembly of Strongly Correlated Fluids of Light
• Thermal Transport of Fractionalized Antiferromagnetic and Field Induced States in the Kitaev Material Na${}_2$Co${}_2$TeO${}_6$
• Interplay of non-symmorphic symmetry and spin-orbit coupling in hyperkagome spin liquids: Applications to Na${}_4$Ir${}_3$O${}_8$
• Superconductivity in correlated BEDT-TTF molecular conductors: critical temperatures and gap symmetries
• Electronic Landscape of Kagome Superconductors $\text{A}$V${}_3$Sb${}_5$ ($\text{A}$ = K, Rb, Cs) from Angle-Resolved Photoemission Spectroscopy
• Spin-charge-entangled non-Fermi liquid in a candidate material for a doped spin liquid
• Ground-state phase diagram of spin-$S$ Kitaev-Heisenberg models
• First-order transition between the plaquette valence bond solid and antiferromagnetic phases of the Shastry-Sutherland model
• Kitaev Quantum Spin Liquids
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• Exact resummation of the Holstein-Primakoff expansion and differential equation approach to operator square-roots
• Frustrated Heisenberg $J_1-J_2$ model within the stretched diamond lattice of LiYbO2
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• Signature of a randomness-driven spin-liquid state in a frustrated magnet
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• Density matrix renormalization group boosted by Gutzwiller projected wave functions
• Scanning tunneling spectroscopy of Majorana zero modes in a Kitaev spin liquid
• Presence and absence of itinerant gapless excitations in the quantum spin liquid candidate EtMe${}_3$Sb[Pd(dmit)${}_2$]${}_2$
• Magnetic field effects in an octupolar quantum spin liquid candidate
• Orbital hybridization-driven charge density wave transition in CsV3Sb5 kagome superconductor
• Flat band, spin-1 Dirac cone, and Hofstadter diagram in the fermionic square kagome model
• Static and dynamical signatures of Dzyaloshinskii-Moriya interactions in the Heisenberg model on the kagome lattice
• Finite-temperature properties of the extended Heisenberg model on a triangular lattice
• How many spin liquids are there in Ca${}_{10}$Cr${}_7$O${}_{28}$?
• The two-dimensional metallic triangular lattice antiferromagnet CeCd3P3
• Recent advancements in the study of intrinsic magnetic topological insulators and magnetic Weyl semimetals
• Gapless Kitaev Spin Liquid to Classical String Gas through Tensor Networks
• Magnetic Impurity as a Local Probe of the U(1) Quantum Spin Liquid with Spinon Fermi Surface
• Field-Induced Instability of a Gapless Spin Liquid with a Spinon Fermi Surface
• Universal Thermodynamics in the Kitaev Fractional Liquid
• Spin-liquid insulators can be Landau's Fermi liquids
• Quantum spin liquid and cluster Mott insulator phases in the Mo${}_3$O${}_8$ magnets
• Diagnosing Fractionalization from the Spin Dynamics of $Z_2$ Spin Liquids on the Kagome Lattice by Quantum Monte Carlo Simulations
• Gapless triangular-lattice spin-liquid candidate in PrZnAl${}_{11}$O${}_{19}$
• Easy-plane multi-$\mathbf{q}$ magnetic ground state of Na${}_3$Co${}_2$SbO${}_6$
• Low energy structure of spiral spin liquids
• Bilayer Kitaev models: Phase diagrams and novel phases
• The observation of quantum fluctuations in a kagome Heisenberg antiferromagnet
• Mott-driven BEC-BCS crossover in a doped spin liquid candidate, kappa-(BEDT-TTF)4Hg2.89Br8
• Competing $U(1)$ and ${\mathbb{Z}}_2$ dipolar-octupolar quantum spin liquids on the pyrochlore lattice: application to Ce${}_2$Zr${}_2$O${}_7$
• Excitation spectrum of spin-1 Kitaev spin liquids
• Extracting spinon self-energies from two-dimensional coherent spectroscopy
• Uncovering footprints of dipolar-octupolar quantum spin ice from neutron scattering signatures
• Classical spin order near antiferromagnetic Kitaev point in the spin-1/2 Kitaev-Gamma chain
• Unconventional Magnetic Oscillations in Kagome Mott Insulators
• Majorana-Magnon Crossover by a Magnetic Field in the Kitaev Model: Continuous-Time Quantum Monte Carlo Study
• Evidence of orbit-selective electronic kagome lattice with planar flat-band in correlated paramagnetic YCr6Ge6
• Spinon Excitations in the Quasi-1D S = 1/2 Chain Cs4CuSb2Cl12
• Variational cluster approach to thermodynamic properties of interacting fermions at finite temperatures: A case study of the two-dimensional single-band Hubbard model at half filling
• Gapless chiral spin liquid from coupled chains on the kagome lattice
• Fermionization of Bosons in a Flat Band
• Fidelity susceptibility as a diagnostic of the commensurate-incommensurate transition: A revisit of the programmable Rydberg chain
• Ground state stability, symmetry, and degeneracy in Mott insulators with long range interactions
• Quantum spin state transitions in spin-1 equilateral triangular lattice antiferromagnet Na${}_2$BaNi(PO${}_4$)${}_2$
• Possible gapless spin liquid in a rare-earth kagomé lattice magnet Tm${}_3$Sb${}_3$Zn${}_2$O${}_{14}$
• Theoretical study of quantum spin liquids in $S=1/2$ hyper-hyperkagome magnets: classification, heat capacity, and dynamical spin structure factor
• Quantum Phases in the Honeycomb-Lattice $J_1$--$J_3$ Ferro-Antiferromagnetic Model
• Tuning topological orders by a conical magnetic field in the Kitaev model
• Emergent Fermi surface in a triangular-lattice SU(4) quantum antiferromagnet
• Symmetry fractionalization in the gauge mean-field theory of quantum spin ice
• Transition between algebraic and ${\mathbb{Z}}_2$ quantum spin liquids at large $N$
• Vestigial anyon condensation in kagome quantum spin liquids
• Double Magnon-Roton Excitations in the Triangular-Lattice Spin Supersolid
• Spin liquid state in a rare-earth hyperkagome lattice
• Possible Intermediate Quantum Spin Liquid Phase in $\alpha$-RuCl${}_3$ under High Magnetic Fields up to 100 T
• Electronic properties and phase transition in Kagome metal, Yb0.5Co3Ge3
• Magnetization of the spin-1/2 Heisenberg antiferromagnet on the triangular lattice
• Muon spin rotation and neutron scattering investigations of the B-site ordered double perovskite Sr2DyRuO6
• A robust and tunable Luttinger liquid in correlated edge of transition-metal second-order topological insulator Ta${}_2$Pd${}_3$Te${}_5$
• Cluster magnetism of Ba4NbMn3O12: localized electrons or molecular orbitals?
• Continuum of spin excitations in an ordered magnet
• Record-high Mobility and Extreme Magnetoresistance on Kagome-lattice in Compensated Semimetal Ni3In2S2
• Magnetic and charge susceptibilities in the half-filled triangular lattice Hubbard model
• Vestiges of Topological Phase Transitions in Kitaev Quantum Spin Liquids
• Orbital and spin ordering physics of the Mn${}_3$O${}_4$ spinel
• Stacking faults in $\alpha$-RuCl${}_3$ revealed by local electric polarization
• Strain-induced pseudomagnetic field and quantum oscillations in kagome crystals
• Solvable Periodic Anderson Model with Infinite-Range Hatsugai-Kohmoto Interaction: Ground-states and beyond
• Kagome Flatbands for Coherent Exciton-Polariton Lasing
• Multinode quantum spin liquids on the honeycomb lattice
• Signatures of Hundness in Kagome Metals
• Cyclotron resonance inside the Mott gap: a fingerprint of emergent neutral fermions
• Possible superconductivity with Bogoliubov Fermi surface in lightly doped Kagome U(1) spin liquid
• Disorder-induced spin-liquid-like behavior in kagome-lattice compounds
• Strain-modulated Slater-Mott crossover of pseudospin-half square-lattice in (SrIrO3)1/ (SrTiO3)1 superlattices
• Magnetic properties of triangular lattice antiferromagnets Ba3RB9O18 (R = Yb, Er)
• Experimental Realization of Classical ${\mathbb{Z}}_2$ Spin Liquids in a Programmable Quantum Device
• Electrodynamics of quantum spin liquids
• Metal-insulator transition and intermediate phases in the kagome lattice Hubbard model
• Electronic structure, magnetic properties, spin orientation, and doping effect in Mn${}_3$Si${}_2$Te${}_6$
• Two-photon self-Kerr nonlinearities for quantum computing and quantum optics
• Identification of hidden order and emergent constraints in frustrated magnets using tensorial kernel methods
• Fractionalized Metal in a Falicov-Kimball Model
• Spin excitations in the quantum dipolar magnet Yb(BaBO${}_3$)${}_3$
• Variational Approach to Quantum Spin Liquid in a Rydberg Atom Simulator
• Two-stage superconductivity in the Hatsugai-Kohmoto-BCS model
• Magnetic properties and signatures of moment ordering in triangular lattice antiferromagnet KCeO${}_2$
• Trimer quantum spin liquid in a honeycomb array of Rydberg atoms
• Rare-Earth Chalcogenides: An Inspiring Playground For Exploring Frustrated Magnetism
• Magnetic phase diagram of the breathing-kagome antiferromagnet Nd${}_3$BWO${}_9$
• Kitaev spin-orbital bilayers and their moiré superlattices
• Gapless spin liquids in disguise
• The universal shear conductivity of Fermi liquids and spinon Fermi surface states and its detection via spin qubit noise magnetometry
• Disorder-induced broadening of the spin waves in a triangular-lattice quantum-spin-liquid candidate YbZnGaO${}_4$
• Unconventional dual 1D-2D quantum spin liquid revealed by $ab$ $initio$ studies on organic solids family
• Uniaxial and hydrostatic pressure effects in alpha-RuCl3 single crystals via thermal-expansion measurements
• Phonon thermal transport shaped by strong spin-phonon scattering in a Kitaev material Na${}_2$Co${}_2$TeO${}_6$
• Probing quantum spin liquids with a quantum twisting microscope
• Topological Hall Effect and Skyrmion-like Bubbles at a Charge-transfer Interface
• Mechanism of the insulator-to-metal transition and superconductivity in the spin liquid candidate NaYbSe${}_2$ under pressure
• Universal signatures of Dirac fermions in entanglement and charge fluctuations
• On the topological surface states of the intrinsic magnetic topological insulator Mn-Bi-Te family
• Unquantized thermal Hall effect in quantum spin liquids with spinon Fermi surfaces
• Schwinger boson theory of ordered magnets
• Spin-orbit coupling and correlations in three-orbital systems
• Renormalization group analysis of dipolar Heisenberg model on square lattice
• Emergence of mesoscale quantum phase transitions in a ferromagnet
• Frustrated Magnetism of Dipolar Molecules on a Square Optical Lattice: Prediction of a Quantum Paramagnetic Ground State
• Spin interaction and magnetism in cobaltate Kitaev candidate materials: an $ab$ $initio$ and model Hamiltonian approach
• Vanishing Wilson ratio as the hallmark of quantum spin-liquid models
• Noncoplanar magnetic orders and gapless chiral spin liquid on the kagome lattice with staggered scalar spin chirality
• Frustrated extended Bose-Hubbard model and deconfined quantum critical points with optical lattices at the anti-magic wavelength
• Competition of Spinon Fermi Surface and Heavy Fermi Liquids states from the Periodic Anderson to the Hubbard model
• Holes and magnetic polarons in a triangular lattice antiferromagnet
• Large-$S$ limit of the large-$N$ theory for the triangular antiferromagnet
• Controlling frustrated magnetism on the kagome lattice by uniaxial-strain tuning
• Spectroscopic signatures of fractionalization in octupolar quantum spin ice
• Anyon dynamics in field-driven phases of the anisotropic Kitaev model
• Effect of ring-exchange interactions in the extended Kitaev honeycomb model
• Defect-induced orbital polarization and collapse of orbital order in doped vanadium perovskites
• Quantum gas microscopy of a geometrically frustrated Hubbard system
• Impurity-induced resonant spinon zero modes in Dirac quantum spin-liquids
• Persistent spin dynamics and absence of spin freezing in the $H$-$T$ phase diagram of the 2D triangular antiferromagnet YbMgGaO${}_4$
• Dynamical properties of Néel and valence-bond phases in the $J_1-J_2$ model on the honeycomb lattice
• Topological thermal Hall effect for topological excitations in spin liquid: Emergent Lorentz force on the spinons
• Two-Particle Self-Consistent method for the multi-orbital Hubbard model
• Configurational Electronic States in Layered Metallic Dichalcogenides
• Electronic Correlation and Geometrical Frustration in Molecular Solids -- A Systematic ab initio Study of ${\beta }^{\prime }$-$X$[Pd(dmit)${}_2$]${}_2$
• Crystal-electric-field excitations in a quantum-spin-liquid candidate NaErS${}_2$
• Gauge Enhanced Quantum Criticality Beyond the Standard Model
• Control of Magnetic and Topological Orders with a DC Electric Field
• Coexistence of non-Abelian chiral spin liquid and magnetic order in a spin-1 antiferromagnet
• Exchange renormalized crystal field excitation in a quantum Ising magnet KTmSe${}_2$
• Two-dimensional coherent spectrum of interacting spinons from matrix-product states
• Magnetic resonance as a local probe for kagomé magnetism in Barlowite Cu${}_4$(OH)${}_6$FBr
• Vison crystals, chiral and crystalline phases in the Yao-Lee model
• Effective Spin-1/2 Moments on a Yb${}^{3+}$ Triangular Lattice: an ESR Study
• Emergence of spinons in layered trimer iridate Ba4Ir3O10
• Nonequilibrium dynamics in deconfined quantum critical point revealed by imaginary-time evolution
• Chiral spin liquids on the kagome lattice with projected entangled simplex states
• A Kitaev-type spin liquid on a quasicrystal
• Antiferromagnetism and crystalline-electric field excitations in tetragonal NaCeO2
• Exact diagonalization study of the anisotropic Heisenberg model related to YbMgGaO${}_4$
• Collective spinon spin wave in a magnetized U(1) spin liquid
• Competing quantum spin liquids, gauge fluctuations, and anisotropic interactions in a breathing pyrochlore lattice
• Recent progress on magnetic-field studies on quantum-spin-liquid candidates
• Two-Magnon Bound States in the Kitaev Model in a $[111]$-Field
• Classical and quantum order in hyperkagome antiferromagnets
• Fingerprints of spin-orbital polarons and of their disorder in the photoemission spectra of doped Mott insulators with orbital degeneracy
• Phase coexistence at the first-order Mott-transition revealed by pressure-dependent dielectric spectroscopy of $\kappa$-(BEDT-TTF)${}_2$Cu${}_2$(CN)${}_3$
• Frustrated Magnetism in Mott Insulating (V${}_{1-x}$Cr${}_x$)${}_2$O${}_3$
• Nonlocal effects of low-energy excitations in quantum-spin-liquid candidate Cu${}_3$Zn(OH)${}_6$FBr
• Signatures of fractionalization in spin liquids from interlayer thermal transport
• Anisotropy as a diagnostic test for distinct tensor network wavefunctions of integer and half-integer spin Kitaev quantum spin liquids
• Competing Gauge Fields and Entropically-Driven Spin Liquid to Spin Liquid Transition in non-Kramers Pyrochlores
• Electromagnetic signatures of chiral quantum spin liquid
• Quantum-classical eigensolver using multiscale entanglement renormalization
• Magnetic fragmentation and fractionalized Goldstone modes in a bilayer quantum spin liquid
• Tensor network approach to the fully frustrated XY model on a kagome lattice with a fractional vortex-antivortex pairing transition
• Linarite - a quasi-critical J${}_1$-J${}_2$ chain
• Unveiling a critical stripy state in the triangular-lattice SU(4) spin-orbital model
• Flux mobility delocalization in the Kitaev spin ladder
• Possible chiral spin liquid state in the $S=1/2$ kagome Heisenberg model
• Mutual information, quantum phase transition, and phase coherence in Kondo systems
• Evidence for magnetic fractional excitations in a Kitaev quantum-spin-liquid candidate $\alpha$-RuCl${}_3$
• Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions
• Bipolarons bound by repulsive phonon-mediated interactions
• Emergent orbital magnetization in Kitaev quantum magnets
• Evolution of Dynamical Signature in the X-cube Fracton Topological Order
• Cavity Moiré Materials: Controlling Magnetic Frustration with Quantum Light-Matter Interaction
• Charge dynamics of correlated electrons: Variational description with inclusion of composite fermions
• Featureless quantum paramagnet with frustrated criticality and competing spiral magnetism on spin-1 honeycomb lattice magnet
• Chiral Spin Order in Kondo-Heisenberg systems
• Designing Robust Quantum Refrigerators in Disordered Spin Models
• Tracking the evolution from isolated dimers to many-body entanglement in NaLu${}_x$Yb${}_{1-x}$Se${}_2$
• Non-Kitaev spin liquids in Kitaev materials
• Antiferromagnetic magnons from fractionalized excitations
• Ultralow-temperature heat transport in the quantum spin liquid candidate Ca10Cr7O28 with bilayer kagome lattice
• Anomalous Magnetoresistance by Breaking Ice Rule in Bi2Ir2O7/Dy2Ti2O7 Heterostructure
• Low-Energy Excitations in Quantum Spin-Liquids Identified by Optical Spectroscopy
• Ising-type quantum spin liquid state in PrMgAl${}_{11}$O${}_{19}$
• Doping a Mott insulator with excitons in moiré bilayer: fractional superfluid, neutral Fermi surface and Mott transition
• Magnetic phase diagram of Cu${}_{4-x}$Zn${}_x$(OH)${}_6$FBr studied by neutron-diffraction and $\mu$SR techniques
• Exactly Solvable Kondo Lattice Model in Anisotropic Limit
• Entanglement measures and non-equilibrium dynamics of quantum many-body systems: a path integral approach
• The Saga of $\alpha$-RuCl${}_3$: Parameters, Models, and Phase Diagrams
• Deconfined criticalities and dualities between chiral spin liquid, topological superconductor and charge density wave Chern insulator
• Diverse electronic landscape of the kagome metal YbTi3Bi4
• Perfect kagome-lattice antiferromagnets with J${}_{eff}$ = 1/2: The Co${}^{2+}$-analogs of copper minerals volborthite and vesignieite
• Magnetic properties and spin dynamics in a spin-orbit driven Jeff= 1/2 triangular lattice antiferromagnet
• Field stability of Majorana spin liquids in antiferromagnetic Kitaev models
• 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)
• Electron Spin Resonance of the Interacting Spinon Liquid
• Type-II Nodal Line Fermions in New Z2 Topological Semimetals AV6Sb6 (A=K, Rb,and Cs) with Kagome Bilayer
• Projective symmetry group classifications of quantum spin liquids on the simple cubic, body centered cubic, and face centered cubic lattices
• Magnetic ground states in kagome YCu${}_3$(OH)${}_6$[(Cl${}_x$Br${}_{1-x}$)${}_{3-y}$(OH)${}_y$]
• Proposal to detect emergent gauge field and its Meissner effect in spin liquids using NV Centers
• Quantum slush state in Rydberg atom arrays
• Spin liquid behavior of a three-dimensional magnetic system Ba${}_3$NiIr${}_2$O${}_9$ with $S$ = 1
• Suppression of Antiferromagnetic Order by Strain in Honeycomb Cobaltate: Implication for Quantum Spin Liquid
• Spin-1/2 kagome Heisenberg antiferromagnet: Machine learning discovery of the spinon pair density wave ground state
• CrRhAs: a member of a large family of metallic kagome antiferromagnets
• Magnetism and spin dynamics of an S=3/2 frustrated trillium lattice antiferromagnet K2CrTi(PO4)3
• Fractional Spin fluctuations and quantum liquid signature in Gd2ZnIrO6
• Phase diagram of the quantum spin-1/2 Heisenberg-$\Gamma$ model on a frustrated zigzag chain
• Classification and properties of quantum spin liquids on the hyperhoneycomb lattice
• Correlated partial disorder in a weakly frustrated quantum antiferromagnet
• Frustration on a centred pyrochlore lattice in metal-organic frameworks
• Parent Hamiltonian Reconstruction of Jastrow-Gutzwiller Wavefunctions
• Flat optical conductivity in the topological kagome magnet TbMn${}_6$Sn${}_6$
• Dynamical structure factor in the non-Abelian phase of the Kitaev honeycomb model in the presence of quenched disorder
• Chemical Principles of Intrinsic Topological Superconductors
• Thermally-induced magnetic order from glassiness in elemental neodymium
• Quantum Phases of Kagome Electron System with Half-Filled Flat Bands
• Unification of parton and coupled-wire approaches to quantum magnetism in two dimensions
• Importance of van der Waals interactions and cation-anion coupling in an organic quantum spin liquid
• Spin liquid in twisted homobilayers group-VI gichalcogenides
• Magnetic phase diagram and multiple field-induced states in the intermetallic triangular-lattice antiferromagnet NdAuAl${}_4$Ge${}_2$ with Ising-like spins
• Electronic Density of States of a $U\left(1\right)$ Quantum Spin Liquid with Spinon Fermi Surface. I. Orbital Magnetic Field Effects
• Random singlet state in Ba${}_5$CuIr${}_3$O${}_{12}$ single crystals
• Prethermal nematic order and staircase heating in a driven frustrated Ising magnet with dipolar interactions
• Oscillations of the thermal conductivity observed in the spin-liquid state of $\alpha$-RuCl${}_3$
• 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
• Variational wave functions for the spin-Peierls transition in the Su-Schrieffer-Heeger model with quantum phonons
• Symmetry-protected gapless spin liquids on the strained honeycomb lattice
• Dynamic Spin Fluctuations in the Frustrated Spin Chain Compound Li${}_3$Cu${}_2$SbO${}_6$
• Nonlinear response of the Kitaev honeycomb lattice model in a weak magnetic field
• Chiral spin liquid and quantum phase diagram of spin-$1/2$ $J_1$-$J_2$-$J_{\chi }$ model on the square lattice
• WSe2/WS2 moiré superlattices: a new Hubbard model simulator
• Multipartite entanglement of the topologically ordered state in a perturbed toric code
• Twisting the Dirac cones of the SU(4) spin-orbital liquid on the honeycomb lattice
• Evidence for the topological order in a kagome antiferromagnet
• Identifying Topological Superconductivity in 2D Transition-Metal Dichalcogenides
• Possible Quantum Paraelectric State in Kitaev Spin Liquid Candidate H${}_3$LiIr${}_2$O${}_6$
• On weak Hopf symmetry and weak Hopf quantum double model
• Friedel oscillation in non-Fermi liquid: Lesson from exactly solvable Hatsugai-Kohmoto model
• Magnetic excitations, phase diagram and order-by-disorder in the extended triangular-lattice Hubbard model
• Interplay between spatial anisotropy and further exchange interactions in the triangular Heisenberg model
• Fractionalization Signatures in the Dynamics of Quantum Spin Liquids
• Improved effective vertices in the multi-orbital Two-Particle Self-Consistent method from Dynamical Mean-Field Theory
• Spin wave theory of one-dimensional generalized Kitaev model
• Evidence for pressure induced unconventional quantum criticality in the coupled spin ladder antiferromagnet C${}_9$H${}_{18}$N${}_2$CuBr${}_4$
• Learning Effective Spin Hamiltonian of Quantum Magnet
• Diffusive Excitonic Bands from Frustrated Triangular Sublattice in a Singlet-Ground-State System
• Gauge field entanglement of Kitaev's honeycomb model
• Pressure-Induced Large Volume Collapse, Plane-to-Chain, Insulator to Metal Transition in CaMn${}_2$Bi${}_2$
• Epitaxial stabilization of (111)-oriented frustrated quantum pyrochlore thin films
• Diffuse Scattering from Correlated Electron Systems
• Quantum-to-classical crossover in the spin glass dynamics of cavity QED simulators
• Magnetization dynamics with time-dependent spin-density functional theory: significance of exchange-correlation torques
• Spin excitation continuum to topological magnon crossover and thermal Hall conductivity in Kitaev magnets
• Quadrupole partial orders and triple-$q$ states on the face-centered cubic lattice
• Gauge theory description of Rydberg atom arrays with a tunable blockade radius
• Stripe order and spin dynamics in triangular-lattice antiferromagnet KErSe${}_2$: A single-crystal study with a theoretical description
• Majorana chiral spin liquid in Mott insulating cuprates
• Magnetic ordering of the distorted kagome antiferromagnet Y${}_3$Cu${}_9$(OH)${}_{18}$[Cl${}_8$(OH)] prepared via optimal synthesis
• State selection in frustrated magnets
• Helical spin liquid in a triangular XXZ magnet from Chern-Simons theory
• Superconducting qubit circuit emulation of a vector spin-1/2
• Nematicity of correlated systems driven by anisotropic chemical phase separation
• Dynamic magnetism in the disordered hexagonal double perovskite BaTi${}_{1/2}$Mn${}_{1/2}$O${}_3$
• Phase diagrams of spin-$S$ Kitaev ladders
• Unconventional full-gap superconductivity in Kondo lattice with semi-metallic conduction bands
• Schwinger boson symmetric spin liquids of Shastry-Sutherland model
• Fractionalizing Global Symmetry on Looplike Topological Excitations
• Feasibility of Kitaev quantum spin liquids in ultracold polar molecules
• Detection of long-range entanglement in gapped quantum spin liquids by local measurements
• Anomalous 2D-confined electronic transport in layered organic charge-glass systems
• Role of chemical pressure on the electronic and magnetic properties of spin-1/2 kagome mineral averievite
• Charge-Neutral Electronic Excitations in Quantum Insulators
• On the origin of the possible chiral spin liquid state of the triangular lattice Hubbard model
• Structural and Magnetic Transitions in the Planar Antiferromagnet Ba${}_4$Ir${}_3$O${}_{10}$
• Temperature dependence of correlated electronic states in archetypal kagome metal CoSn
• Spin-Orbital Entangled Liquid State in the Copper Oxide Ba${}_3$CuSb${}_2$O${}_9$
• Incommensurate magnetic order in Sm${}_3$BWO${}_9$ with the distorted kagome lattice
• Investigating Berezinskii-Kosterlitz-Thouless phase transitions in Kagome spin ice by quantifying Monte Carlo process: Distribution of Hamming distances
• Resistivity and Thermal Conductivity of an Organic Insulator beta'-EtMe3Sb[Pd(dmit)2]2
• Quantum entanglement of fermionic symmetry-enriched quantum critical points in one dimension
• Thermoelectric signature of quantum critical phase in a doped spin liquid candidate
• Delay Update in determinant quantum Monte Carlo
• Spectroscopic fingerprints of gapless type-II fracton phases
• Spin Vortex Crystal Order in Organic Triangular Lattice Compound
• Electronic Density of States of a $U\left(1\right)$ Quantum Spin Liquid with Spinon Fermi Surface. II. Zeeman Magnetic Field Effects
• Fracton excitations in classical frustrated kagome spin models
• Spin dynamics and continuum spectra of the honeycomb J1-J2 antiferromagnetic Heisenberg model
• Magnetic phases of the anisotropic triangular lattice Hubbard model
• Frustrated Kondo impurity triangle: A simple model of deconfinement
• Role of Majorana fermions in spin transport of anisotropic Kitaev model
• Compact Neural-network Quantum State representations of Jastrow and Stabilizer states
• Phase diagram of the $J_1$-$J_2$ quantum Heisenberg model for arbitrary spin
• Quantum spin liquids on the diamond lattice
• Electronic orders on the kagome lattice at the lower Van Hove filling
• Magnetism study on a triangular lattice antiferromagnet Cu${}_2$(OH)${}_3$Br
• Quantum Simulation of Lattice Gauge Theories on Superconducting Circuits: Quantum Phase Transition and Quench Dynamics
• NMR evidence of spinon localization in kagome antiferromagnet YCu${}_3$(OH)${}_6$Br${}_2$[Br${}_{1-x}$(OH)${}_x$]
• Spectroscopic origin of giant anomalous Hall effect in an interwoven magnetic kagome metal
• Emergent photons and fractionalized excitations in a quantum spin liquid
• Oriented propagation of magnetization due to chiral edge modes in Kitaev-type models
• Magnetic phase diagram of a 2-dimensional triangular lattice antiferromagnet Na${}_2$BaMn(PO${}_4$)${}_2$
• Monopole excitations in the $U(1)$ Dirac spin liquid on the triangular lattice
• Structural, magnetic and magnetocaloric properties of triangular-lattice transition-metal phosphates
• Superconductivity in doped triangular Mott insulators: the roles of parent spin backgrounds and charge kinetic energy
• Efficient and practical Hamiltonian simulation from time-dependent product formulas
• Quantitative investigation of the short-range magnetic correlations in candidate quantum spin liquid NaYbO${}_2$
• Microscopic Roadmap to a Yao-Lee Spin-Orbital Liquid
• Magnetoresistance signature of two-dimensional electronic states in Co${}_3$Sn${}_2$S${}_2$
• Phase diagram and magnetic excitations of $J_1$-$J_3$ Heisenberg model on the square lattice
• Single-hole spectra of Kitaev spin liquids: from dynamical Nagaoka ferromagnetism to spin-hole fractionalization
• Thermodynamics and heat transport of quantum spin liquid candidates NaYbS${}_2$ and NaYbSe${}_2$
• Spin dynamics in the Dirac $U(1)$ spin liquid YbZn${}_2$GaO${}_5$
• Cascade of phase transitions and large magnetic anisotropy in a triangle-kagome-triangle trilayer antiferromagnet
• Thermodynamic evidence of fermionic behavior in the vicinity of one-ninth plateau in a kagome antiferromagnet
• Dissipation-induced antiferromagnetic-like frustration in coupled photonic resonators
• Magnetic-field Induced Topological Transitions and Thermal Conductivity in a Generalized Kitaev Model
• Characterizing Random-singlet State in Two-dimensional Frustrated Quantum Magnets and Implications for the Double Perovskite Sr${}_2$CuTe${}_{1-x}$W${}_x$O${}_6$
• Nonuniform phases in the geometrically frustrated dissipative XYZ model
• Low-temperature environments for quantum computation and quantum simulation
• Self-supervised graph neural networks for accurate prediction of Néel temperature
• Field-Tuned Quantum Effects in a Triangular-Lattice Ising Magnet
• Short-range order and hidden energy scale in geometrically frustrated magnets
• Kagome materials $A$V${}_3$Sb${}_5$ ($A$=K,Rb,Cs): pairing symmetry and pressure-tuning studies
• Spinons and damped phonons in spin-1/2 quantum-liquid Ba${}_4$Ir${}_3$O${}_{10}$ observed by Raman scattering
• Development of long-range phase coherence on the Kondo lattice
• Possible coexistence of short-range resonating-valence-bond and long-range stripe correlations in the spatially anisotropic triangular-lattice quantum magnet Cu${}_2$(OH)${}_3$NO${}_3$
• Intermediate Phase in Interacting Dirac Fermions with Staggered Potential
• Insight into ground-state spin arrangement and bipartite entanglement of the polymeric coordination compound [Dy${}_2$Cu${}_2$]${}_n$ through the symmetric spin-1/2 Ising-Heisenberg orthogonal-dimer chain
• Control of superexchange interactions with DC electric fields
• Antiferromagnetism and Ising Ground States in the Rare-earth Garnet Nd${}_3$Ga${}_5$O${}_{12}$
• Crossover from Diffusive to Superfluid Transport in Frustrated Magnets
• Multi-scale Quantum Criticality driven by Kondo-lattice Coupling in Pyrochlore Systems
• Magnon interactions in a moderately correlated Mott insulator
• Magnetic States of Graphene Proximitized Kitaev Materials
• SU(3) trimer resonating-valence-bond state on the square lattice
• Work statistics across a quantum critical surface
• Spin liquid fingerprints in the thermal transport of a Kitaev-Heisenberg ladder
• Altermagnetism in Heavy Fermion Systems: Mean-Field study on Kondo Lattice
• Competing orders in a frustrated Heisenberg model on the Fisher lattice
• Quantum dimer model containing Rokhsar-Kivelson point expressed by spin-1/2 Heisenberg antiferromagnets
• Theory of Dirac Spin-Orbital Liquids: monopoles, anomalies, and applications to $SU(4)$ honeycomb models
• Structural and magnetic properties of the new quantum magnet BaCuTe${}_2$O${}_6$
• Chiral superconductivity in the doped triangular-lattice Fermi-Hubbard model in two dimensions
• Anomalously field-susceptible spin soft-matter emerging in an electric-dipole liquid candidate
• Projective symmetry group classification of Abrikosov fermion mean-field ansätze on the square-octagon lattice
• Quantum Simulation of Two-Dimensional $\mathrm{U}(1)$ Gauge Theory in Rydberg and Rydberg-Dressed Atom Arrays
• Thermally enhanced Majorana-mediated spin transport in the Kitaev model
• Anyon condensation and confinement transition in a Kitaev spin liquid bilayer
• The Classical Heisenberg Model on the Centred Pyrochlore Lattice
• Ground-State Phase Diagram of the Kitaev-Heisenberg Model on a Three-dimensional Hyperhoneycomb Lattice
• Cooling schemes for two-component fermions in layered optical lattices
• Suppression of the antiferromagnetic order by Zn doping in a possible Kitaev material Na${}_2$Co${}_2$TeO${}_6$
• Frustration induced non-Curie-Weiss paramagnetism in La3Ir3O11: a fractional-valence-state iridate
• Intermediate valence in single crystalline Yb${}_2$Si${}_2$Al
• Fluctuation-induced ferrimagnetism in sublattice-imbalanced antiferromagnets with application to SrCu${}_2$(BO${}_3$)${}_2$ under pressure
• Hydrodynamics of quantum spin liquids
• Spin Transport in Quantum Spin-Orbital Liquids
• Tunneling-induced restoration of classical degeneracy in quantum kagome ice
• Active orbital degree of freedom and potential spin-orbit-entangled moments in Kitaev magnet candidate BaCo${}_2$(AsO${}_4$)${}_2$
• Phase diagram of a bilinear-biquadratic spin-1 model on the triangular lattice from density matrix renormalization group simulations
• Kitaev-Heisenberg model on the star lattice: From chiral Majorana fermions to chiral triplons
• Intriguing kagome topological materials
• Similarity of thermodynamic properties of Heisenberg model on triangular and kagome lattices
• Effect of quenched disorder on a quantum spin liquid state of triangular-lattice antiferromagnet 1T-TaS${}_2$
• Spiral spin liquid in a frustrated honeycomb antiferromagnet: A single-crystal study of GdZnPO
• Low Energy Magneto-optics of Tb${}_2$Ti${}_2$O${}_7$ in [111] Magnetic Field
• Order by singularity in Kitaev clusters
• Origin of nonsymmorphic bosonization formulas in generalized antiferromagnetic Kitaev spin-$\frac{1}{2}$ chains from a renormalization-group perspective
• Resonating valence bond realization of spin-1 non-Abelian chiral spin liquid on the torus
• Pyrochlore NaYbO2: A potential Quantum Spin Liquid Candidate
• Emergent quantum Majorana metal from a chiral spin liquid
• Kitaev model on Hurwitz hyperbolic tilings: A non-Abelian gapped chiral spin liquid
• Reinvestigation of the homogeneous spin model in YbMgGaO${}_4$
• Dynamical Axions in $U(1)$ Quantum Spin Liquids
• Magnetic force theory combined with quasi-particle self-consistent GW method
• Topological phase transition and nontrivial thermal Hall signatures in honeycomb lattice magnets
• Magnetic field and thermal Hall effect in a pyrochlore U(1) quantum spin liquid
• Controlling magnetic frustration in 1T-TaS${}_2$ via Coulomb engineered long-range interactions
• Hidden orders and phase transitions for the fully packed quantum loop model on the triangular lattice
• Emergent Gauge Fields in Band Insulators
• Fragile spin liquid in three dimensions
• Order-by-disorder and emergent Kosterlitz-Thouless phase in triangular Rydberg array
• Dynamical Signatures of Rank-2 $U(1)$ Spin Liquids
• Magnetic ground states and magnetodielectric effect in $R$Cr(BO${}_3$)${}_2$ ($R$ = Y and Ho)
• Spin Liquid and Superconductivity emerging from Steady States and Measurements
• Frustration-induced quantum spin liquid behavior in the $s=$1/2 random-bond Heisenberg antiferromagnet on the zigzag chain
• Anisotropic deconfined criticality in Dirac spin liquids
• Finite Temperature Dynamics in 0-Flux and $\pi$-Flux Quantum Spin Ice: Self-Consistent Exclusive Boson Approach
• Gapless Spin Liquid and Non-local Corner Excitation in the Spin-1/2 Heisenberg Antiferromagnet on Fractal
• Tunable moire spinons in magnetically encapsulated twisted van der Waals quantum spin-liquids
• On the multi-$\mathbf{q}$ characteristics of magnetic ground states of honeycomb cobalt oxides
• Properties and application of the SO(3) Majorana representation of spin: equivalence with the Jordan-Wigner transformation and exact $Z_2$ gauge theories for spin models
• Orthogonal metal in the Hubbard model with liberated slave spins
• Successive magnetic transitions in the spin-5/2 easy-axis triangular-lattice antiferromagnet Na${}_2$BaMn(PO${}_4$)${}_2$: A neutron diffraction study
• Nearly degenerate ground states of a checkerboard antiferromagnet and their bosonic interpretation
• Crystal growth, characterization and phase transition of PbCuTe${}_2$O${}_6$
• Rapid filling of the spin gap with temperature in the Schwinger-boson mean-field theory of the antiferromagnetic Heisenberg kagome model
• Fully-gapped superconductivity with rotational symmetry breaking in pressurized kagome metal CsV${}_3$Sb${}_5$
• Converting electrons into emergent fermions at a superconductor-Kitaev spin liquid interface
• Steady-state phases of dissipative spin-1/2 XYZ model with frustrated interaction
• Topological magnon in exchange frustration driven incommensurate spin spiral of a kagome lattice YMn${}_6$Sn${}_6$
• Pristine Mott Insulator from an Exactly Solvable Spin-1/2 Kitaev Model
• Honeycomb Layered Frameworks with Metallophilic Bilayers
• Disorder-induced excitation continuum in a spin-1/2 cobaltate on a triangular lattice
• Field-selective classical spin liquid and magnetization plateaus on kagome lattice
• Orientation-dependent stabilization of MgCr${}_2$O${}_4$ spinel thin films
• Field-induced spin liquid in the decorated square-kagome antiferromagnet nabokoite KCu${}_7$TeO${}_4$(SO${}_4$)${}_5$Cl
• Orbital Frustration and Emergent Flat Bands
• Transition of a prestine Mott insulator to a correlated Fermi liquid: Pressure-dependent optical investigations of a quantum spin liquid
• Synthetic high angular momentum spin dynamics in a microwave oscillator
• Entanglement Hamiltonian of Interacting Systems: Local Temperature Approximation and Beyond
• Multinode quantum spin liquids in extended Kitaev honeycomb models: the view from variational Monte Carlo
• Transition between heavy-fermion strange metal and quantum spin liquid in a 4d-electron trimer lattice
• Electric field control of a quantum spin liquid in weak Mott insulators
• Quasi-2D anomalous Hall Mott insulator of topologically engineered Jeff =1/2 electrons
• Combination of Tensor Network States and Green's function Monte Carlo
• Superglass formation in an atomic BEC with competing long-range interactions
• Topological and magnetic phase transitions in the bilayer Kitaev-Ising model
• Continuous transition between Ising magnetic order and a chiral spin liquid
• Defect control in the Heisenberg-Kitaev candidate material NaRuO${}_2$
• Insulator-to-metal Mott transition facilitated by lattice deformation in monolayer $\alpha$-RuCl${}_3$ on graphite
• Symmetry-protected Dirac nodal lines and large spin Hall effect in ${\mathbf{V}}_6\mathbf{S}{\mathbf{b}}_4$ with kagome bilayer
• Successive Phase Transitions in the Quasi-Kagome Lattice System URhSn Studied by Resonant X-ray Scattering
• Fermi-liquid corrections to the intrinsic anomalous Hall conductivity of topological metals
• Spin Seebeck Effect of Triangular-lattice Spin Supersolid
• Irrational moments and signatures of higher-rank gauge theories in diluted classical spin liquids
• High Chern numbers and topological flat bands in high-field polarized Kitaev magnets on the star lattice
• Exploring rare-earth Kitaev magnets by massive-scale computational analysis
• Trigonal layered rosiaite-related antiferromagnet MnSnTeO6: ion-exchange preparation, structure and magnetic properties
• Kinetic Ferromagnetism and Topological Magnons of the Hole-Doped Kitaev Spin Liquid
• Quantum spin liquid from electron-phonon coupling
• Quantum phase transitions in the triangular coupled-top model
• Disentangling spin excitation continua in classical and quantum magnets using 2D nonlinear spectroscopy
• Kondo enabled transmutation between spinons and superconducting vortices: origin of magnetic memory in 4Hb-$\mathrm{Ta}{\mathrm{S}}_2$
• Instability of the $U(1)$ spin liquid with a large spinon Fermi surface in the Heisenberg-ring exchange model on the triangular lattice
• Frustration relief and reorientation transition in the kagome-like dolerophanite Cu${}_2$OSO${}_4$
• Quantum oscillations in field-induced correlated insulators of a moiré superlattice
• A near-term quantum simulation of the transverse field Ising model hints at Glassy Dynamics
• Structural and magnetic characterization of CeTa${}_7$O${}_{19}$ and YbTa${}_7$O${}_{19}$ with two-dimensional pseudospin-1/2 triangular lattice
• Interplay between multi-spin and chiral spin interactions on triangular lattice
• $J_{\mathrm{eff}}$ = 1/2 Hyperoctagon Lattice in Cobalt Oxalate Metal-Organic-Framework
• Comparing quantum fluctuations in the spin-$\frac{1}{2}$ and spin-$1$ XXZ Heisenberg models on square and honeycomb lattices
• Local spin-flip transitions induced by magnetic quantum impurities in two-dimensional magnets
• Traversing the pyrochlore stability diagram; microwave-assisted synthesis and discovery of mixed B-site Ln${}_2$InSbO${}_7$ family
• Anderson localization of emergent quasiparticles: Spinon and vison interplay at finite temperature in a ${\mathbb{Z}}_2$ gauge theory in three dimensions
• Drag resistance mediated by quantum spin liquids
• Chiral spin liquid in a ${\mathbb{Z}}_3$ Kitaev model
• Boltzmann machines and quantum many-body problems
• Susceptibility indicator for chiral topological orders emergent from correlated fermions
• Hidden phases born of a quantum spin liquid: Application to pyrochlore spin ice
• 2-Form U(1) Spin Liquids: Classical Model and Quantum Aspects
• Hidden hyperspace geometry and long-distance quantum coupling
• Revisiting spin ice physics in the ferromagnetic Ising pyrochlore Pr${}_2$Sn${}_2$O${}_7$
• Gauge Field Dynamics in Multilayer Kitaev Spin Liquids
• Exact deconfined gauge structures in the higher-spin Yao-Lee model: a quantum spin-orbital liquid with spin fractionalization and non-Abelian anyons
• Widely Spaced Planes of Magnetic Dimers in the Ba6Y2Rh2Ti2O17-δ Hexagonal Perovskite
• Theory of quasiparticle interference in Kitaev quantum spin liquids
• Thermodynamic properties of the macroscopically degenerate tetramer-dimer phase of the spin-1/2 Heisenberg model on the diamond-decorated square lattice
• Classical ${\mathbb{Z}}_2$ spin liquid on the generalized four-color Kitaev model
• Highly tunable 2D silicon quantum dot array with coupling beyond nearest neighbors
• Manipulation of topology by electric field in breathing kagome lattice
• Bulk Crystal Growth and Single-Crystal-to-Single-Crystal Phase Transitions in the Averievite CsClCu5V2O10
• Theory of rare-earth Kramers magnets on a Shastry-Sutherland lattice: dimer phases in presence of strong spin-orbit coupling
• Thermodynamic, dynamic and transport properties of quantum spin liquid in herbertsmithite from experimental and theoretical point of view
• Classical and quantum liquids induced by quantum fluctuations
• Topological physics in quantum critical systems
• Spin dynamics and 1/3 magnetization plateau in a coupled distorted diamond chain compound K2Cu3(MoO4)4
• Charge bond order and s-wave superconductivity in the kagome lattice with electron-phonon coupling and electron-electron interaction
• Dynamics of a Lattice Gauge Theory with Fermionic Matter -- Minimal Quantum Simulator with Time-Dependent Impurities in Ultracold Gases
• Na${}_5$Co${}_{15.5}$Te${}_6$O${}_{36}$: an $S$ = 1/2 stacked Ising kagome antiferromagnet with a partially disordered ground state
• Some experimental schemes to identify quantum spin liquids
• Projective-symmetry-group analysis of inelastic light scattering in Kitaev spin balls
• Peculiar magnetic dynamics across the in-field transition in Ca3Co2O6
• Quantum valence bond ice theory for proton-driven quantum spin-dipole liquids
• Signatures of a gapless quantum spin liquid in the Kitaev material Na${}_3$Co${}_{2-x}$Zn${}_x$SbO${}_6$
• Phase diagram and thermal Hall conductivity of spin-liquid Kekulé-Kitaev model
• Possible realization of a randomness-driven quantum disordered state in an S = 1/2 antiferromagnet Sr3CuTa2O9
• Stabilization of high-pressure GeCu${}_2$O${}_4$ spinel cuprate with quasi-1D $S=1/2$ chains in the epitaxial thin-film form
• van Hove Singularity-Driven Emergence of Multiple Flat Bands in Kagome Superconductors
• Magnetic properties and field-induced phenomena in the Jeff = 1/2 distorted kagome antiferromagnet
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Mean-field theory of interacting triplons in a two-dimensional valence-bond solid: stability and properties of many-triplon states
• The spin-orbital Kitaev model: from kagome spin ice to classical fractons
• Majorana corner states in square and Kagome quantum spin liquids
• Kibble-Zurek mechanism in quantum link model
• Confinement-Induced Enhancement of Superconductivity in a Spin-$\frac{1}{2}$ Fermion Chain Coupled to a ${\mathbb{Z}}_2$ Lattice Gauge Field
• Doping-induced structural transformation in the spin-1/2 triangular-lattice antiferromagnet Na${}_2$Ba${}_{1-x}$Sr${}_x$Co(PO${}_4$)${}_2$
• Ultrafast spin dynamics in the proximate quantum spin liquid α-RuCl3
• Quantum criticality of bandwidth-controlled Mott transition
• The Detection of Unconventional Quantum Oscillations in Insulating 2D Materials
• Orbitally-selective Breakdown of the Fermi Liquid and Simultaneous Enhancement of Metallic and Insulating States in Correlated Multi-band Systems with Spin-orbit Coupling
• Epitaxial stabilization of thin films of the frustrated Ge-based spinels
• Signatures of gapless fermionic spinons on a strip of the kagome Heisenberg antiferromagnet
• Detection of anyon braiding through pump-probe spectroscopy
• High-field quantum spin liquid transitions and angle-field phase diagram of Kitaev magnet $\alpha$-RuCl${}_3$
• Classical and quantum spin liquids
• Variational Quantum Simulation of Valence-Bond Solids
• Spin-orbit entangled moments and magnetic exchange interactions in cobalt-based honeycomb magnets BaCo${}_2$($X$O${}_4$)${}_2$ ($X$ = P, As, Sb)
• Simulating spin systems with Majorana networks
• From Complexification to Self-Similarity: New Aspects of Quantum Criticality
• Behavior under magnetic field of resonance at the edge of the upper Hubbard band in 1T-TaS2
• Field-driven transition from quantum spin liquid to magnetic order in triangular-lattice antiferromagnets
• Spin-lattice Coupling in U(1) Quantum Spin Liquids
• From frustration-free parent Hamiltonians to off-diagonal long-range order: Moore-Read and related states in second quantization
• Cubic* criticality emerging from a quantum loop model on triangular lattice
• Anisotropic magnetism and spin fluctuations in the triangular-lattice spin-liquid candidate NaYbSe${}_2$: a single-crystal ${}^{23}$Na and ${}^{77}$Se NMR study
• Global quantum phase diagram and non-Abelian chiral spin liquid in a spin-3/2 square lattice antiferromagnet
• Response and phase transition of a Kitaev spin liquid in a local magnetic field
• Interplay of Kitaev Interaction and Off-diagonal Exchanges: Exotic Phases and Quantum Phase Diagrams
• Sound attenuation in the hyperhoneycomb Kitaev spin liquid
• Magnon Bose-Einstein Condensation and Superconductivity in a Frustrated Kondo Lattice
• Quasi-one-dimensional Spin Dynamics in a Molecular Spin Liquid System
• Local spin dynamics in geometrically frustrated Mo pyrochlore antiferromagnet Lu${}_2$Mo${}_2$O${}_{5-y}$N${}_2$
• Estimating Eigenenergies from Quantum Dynamics: A Unified Noise-Resilient Measurement-Driven Approach
• Frustration and chirality in three-dimensional trillium lattices: Insights and Perspectives
• Effective spin physics in two-dimensional cavity QED arrays
• Phase diagram for Hole-Doped Kitaev System on the Honeycomb Lattice
• Thermal Hall response of an abelian chiral spin liquid at finite temperatures
• Quantum phase transitions in a Dicke trimer with both photon and atom hoppings
• General Formula for the Green's Function Approach to the Spin-1/2 Antiferromagnetic Heisenberg Model
• Stacking-Dependent Van Hove Singularity Shifts in Three-Dimensional Charge Density Waves of Kagome Metals AV${}_3$Sb${}_5$ (A = K, Rb, Cs)
• Chiral topological states in Bose-Fermi mixtures
• A Promising Method for Strongly Correlated Electrons in Two Dimensions: Gutzwiller-Guided Density Matrix Renormalization Group
• $x$-[Pd(dmit)${}_2$]${}_2$ as a quasi-1D, scalene Heisenberg model
• Magnetically disordered ground state in the triangular-lattice antiferromagnets Rb${}_3$Yb(VO${}_4$)${}_2$ and Cs${}_3$Yb(VO${}_4$)${}_2$
• Magnetic field induced partially polarized chiral spin liquid in a transition metal dichalcogenide moiré system
• Abelian and non-Abelian quantum spin liquids in a three-component Bose gas on optical Kagome lattices
• Spin Excitation Continuum in the Exactly Solvable Triangular-Lattice Spin Liquid CeMgAl11O19
• Spin dynamics of the planar kagome lattice ferromagnet with four-site ring exchange processes
• Evidence for a gapless Dirac spin-liquid ground state in a spin-3/2 triangular-lattice antiferromagnet
• Lacing topological orders in two dimensions: exactly solvable models for Kitaev's sixteen-fold way
• Symmetry-protected topological order identified via Gutzwiller-guided density-matrix-renormalization-group: $\mathrm{SO}(n)$ spin chains
• Edge Spin fractionalization in one-dimensional spin-$S$ quantum antiferromagnets
• Effects of exchange distortions in the magnetic Kagome lattice
• Magnetic Properties of an Effective Spin-$\frac{1}{2}$ Triangular-Lattice Compound LiYbS${}_2$
• Long-range spin-orbital order in the spin-orbital SU(2)$\times$SU(2)$\times$U(1) model
• Digital Quantum Simulation of the Kitaev Quantum Spin Liquid
• Interplay of itinerant electrons and Ising moments in a hybrid honeycomb quantum magnet TmNi${}_3$Al${}_9$
• Emergent Quadrupolar Order in the Spin-$1/2$ Kitaev-Heisenberg Model
• Plaquette valence bond state in spin-1/2 J1-J2 XY model on square lattice
• Spin-charge bound states and emerging fermions in a quantum spin liquid
• Ferrimagnetism from quantum fluctuations in Kitaev materials
• Theory of magnetism for rare-earth magnets on the Shastry-Sutherland lattice with non-Kramers ions
• Scaling and data collapse of two-dimensional random singlet state in magnetic field
• Observation of Emergent ${\mathbb{Z}}_2$ Gauge Invariance in a Superconducting Circuit
• Exchange Interactions in Rare-earth Magnets $A_2$PrO${}_3$ ($A$= alkali metals): Revisited
• Coincidence inelastic neutron scattering for detection of two-spin magnetic correlations
• The destiny of obstructed atomic insulator under correlation
• Fractionalization of long-range ordered states in a Falicov-Kimball model
• Quantum Spin Liquids in Weak Mott Insulators with a Spin-Orbit Coupling
• Frustration-Induced Supersolid Phases of Extended Bose-Hubbard Model in the Hard-Core Limit
• Renormalized density matrix downfolding: A rigorous framework in learning emergent models from ab initio many-body calculations
• Extreme disorder in crystalline perovskite oxide: a new paradigm in quantum materials research
• Navigating the phase diagram of quantum many-body systems in phase space
• Thermal features of Heisenberg antiferromagnets on edge- versus corner-sharing triangular-based lattices: A message from spin waves
• Advancing Hybrid Quantum-Classical Algorithms via Mean-Operators
• Deconfined Quantum Criticality among Grand Unified Theories
• Searching for superconductivity in doped triangular lattice Kitaev magnets
• Dynamic-RKKY induced time-reversal symmetry breaking and chiral spin liquids
• Magnetic Order in Laser-Irradiated Kagome Antiferromagnets
• Strong coupling of lattice and orbital excitations in quantum magnet Ca${}_{10}$Cr${}_7$O${}_{28}$: Anomalous temperature dependence of Raman phonons
• A primer on Kitaev Model: Basic aspects, material realization, and recent experiments
• Power-law dynamics in the spin-liquid kagome lattices SrCr8Ga4O19 and ZnCu3(OH)6Cl2
• Flux-driven quantum spin liquids in kagome optical lattices
• Three-dimensional Sandglass Magnet with Non-Kramers ions
• Bridging conformal field theory and parton approaches to SU(n)_k chiral spin liquids
• Understanding Spin Configuration in the Geometrically Frustrated Magnet TbB${}_4$: a Resonant Soft X-ray Scattering Study
• Lee-Yang formalism for phase transitions of interacting fermions using tensor networks
• Quantum Phases and Spin Liquid Properties of 1T-TaS2
• Carrier Tuning of Stoner Ferromagnetism in ThCr${}_2$Si${}_2$-Structure Cobalt Arsenides
• Quantum Geometric Origin of Orbital Magnetization
• Possible phases of the spin-$1/2$ $XXZ$ model on a honeycomb lattice by boson-vortex duality
• Frustrated mixed-spin ladders: Evidence for a bond order wave phase between rung-singlet and Haldane phases
• Improving neural network performance for solving quantum sign structure
• Gapless spinons and a field-induced soliton gap in the hyper-honeycomb Cu oxalate framework compound [(C${}_2$H${}_5$)${}_3$NH]${}_2$Cu${}_2$(C${}_2$O${}_4$)${}_3$
• Quantum Spin Liquids in Pyrochlore Magnets With Non-Kramers Local Moments
• Exactly solvable dissipative dynamics and one-form strong-to-weak spontaneous symmetry breaking in interacting two-dimensional spin systems
• Phases and criticality of the triangular lattice SU(N) Hofstadter-Hubbard model
• Multi-$Q$ magnetic phases from frustration and chiral interactions
• Uncovering double-stripe and plaquette antiferromagnetic states in the one-band Hubbard model on a frustrated square lattice
• Hidden $SU(2)$ Symmetries, the Symmetry Hierarchy and the Emergent Eight-Fold Way in Spin-1 Quantum Magnets
• Parent Hamiltonian Reconstruction via Inverse Quantum Annealing
• Frustrated Rydberg Atom Arrays Meet Cavity-QED: Emergence of the Superradiant Clock Phase
• Ground state energy and magnetization curve of a frustrated magnetic system from real-time evolution on a digital quantum processor
• Magnetic phases of orbital bipartite optical lattices
• Topological Aspects of Antiferromagnets
• Topological characterization of magnon-polaron bands and thermal Hall conductivity in a frustrated kagome antiferromagnet
• Magnetic field-temperature phase diagram of spin-1/2 triangular lattice antiferromagnet KYbSe${}_2$
• Fermionic anyons: entanglement and quantum computation from a resource-theoretic perspective
• 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)${}_{0.67}$]
• Robust spin liquid state against magnetic-dilution in the bi-layer Kagome material Ca${}_{10}$Cr${}_7$O${}_{28}$
• Crossover between tricritical and Lifshitz points in pyrochlore FeF${}_3$
• A Group-Equivariant Autoencoder for Identifying Spontaneously Broken Symmetries
• Vacancies in generic Kitaev spin liquids
• Electric polarization near vortices in the extended Kitaev model
• Quantum spin liquids by geometric lattice design
• Ta2Pd3Te5 topological thermometer
• Electron correlation effects and spin-liquid state in the Herbertsmithite Kagome lattice
• Topology-driven deconfined quantum criticality in magnetic bilayers
• Quantum disorder induced by nuclear tunneling in lattice
• Field-induced phase transitions in the Kitaev-Heisenberg model: A sign-problem-free quantum Monte Carlo study and possible application to $\alpha$-RuCl3
• Microscopic Origin of Reduced Magnetic Order in a Frustrated Metal
• Fully-frustrated octahedral antiferromagnets: emergent complexity in external field
• Vison condensation and spinon confinement in a kagome-lattice ${\mathbb{Z}}_2$ spin liquid: A numerical study of a quantum dimer model
• Uniaxial Ordering by Self-Assembly of Isotropic Octahedral Junctions
• Robustness of Vacancy-Bound Non-Abelian Anyons in the Kitaev Model in a Magnetic Field
• Phenomenological Ginzburg-Landau theory for triple-Q magnetic orders on a hexagonal lattice
• Confined and deconfined spinon excitations in the rectangular-lattice quantum antiferromagnet
• Frustrated Bose ladder with extended range density-density interaction
• Quantum scaling of the spin lattice relaxation rate in the checkerboard $J$-$Q$ model
• Electron-Nuclear Hyperfine Coupling in Quantum Kagome Antiferromagnets from First-Principles Calculation and a Reflection of the Defect Effect
• Disorder-induced spin excitation continuum and spin-glass ground state in the inverse spinel CuGa${}_2$O${}_4$
• Unnecessary quantum criticality in $SU(3)$ kagome magnets
• Random singlet physics in exchange disordered 2D triangular YbCu${}_{1.14}$Se${}_2$
• Schwinger boson theory for $S=1$ Kitaev quantum spin liquids
• Reconfigurable dissipative entanglement between many spin ensembles: from robust quantum sensing to many-body state engineering
• Spinon mediation of witness spin dynamics in herbertsmithite
• Demystifying quantum escapism on the honeycomb lattice
• Kitaev Meets Affleck-Kennedy-Lieb-Tasaki: Competing Quantum Disorder in Spin-3/2 Honeycomb Systems
• Bosonic SET to SPT Transition under Dyonic LSM Theorem
• Emergent Spin-Singlet Pairing in the Frustrated Kagome Metal Sc${}_3$Mn${}_3$Al${}_7$Si${}_5$
• Study of polycrystalline bulk Sr${}_3$OsO${}_6$ double-perovskite insulator: comparison with 1000 K ferromagnetic epitaxial films
• Ising Supercriticality and Universal Magnetocalorics in Spiral Antiferromagnet Nd${}_3$BWO${}_9$
• Gapped magnetic ground state in the spin-liquid candidate $\kappa$-(BEDT-TTF)${}_2$Ag${}_2$(CN)${}_3$ suggested by magnetic spectroscopy
• Dynamical spin correlations in kagome antiferromagnets: comparison of Abrikosov fermion and Schwinger boson approaches beyond mean field
• Signature of Topological Semimetal in Harmonic-honeycomb ReO3
• First-principles study of bulk stacking, $J_{\mathrm{eff}}$ picture, magnetic Hamiltonian, $g$ factors, and structural distortions of $\alpha$-RuCl${}_3$
• Dynamic Simulations of Strongly Coupled Spin Ensembles for Inferring Nature of Electronic Correlations from Nuclear Magnetic Resonance
• Antiferromagnetic Order and Magnetic Frustration in the Honeycomb Heavy-Fermion System Ce(Pt${}_{1-x}$Pd${}_x$)${}_6$Al${}_3$: ${}^{27}$Al and ${}^{195}$Pt NMR Studies
• Itinerant and topological excitations in a honeycomb spiral spin liquid candidate
• Topical review: the nature of the ground state and possibility of a quantum spin liquid in 1T metal dichalcogenides
• The Kekulé-Kitaev model: linear and non-linear responses and magnetic field effects
• Magnetic Interactions in the Polar Ferrimagnet with a Bipartite Structure
• Post-experiment coincidence detection techniques for direct detection of two-body correlations
• Entanglement studies of resonating valence bonds on the frustrated square lattice
• Transport in honeycomb lattice with random $\pi$-fluxes: implications for low-temperature thermal transport in the Kitaev spin liquids
• Detecting symmetry fractionalization in gapped quantum spin liquids by magnetic impurities
• Memory efficient Fock-space recursion scheme for computing many-fermion resolvents
• Absence of the $T^{2/3}$ specific heat anomaly in a $U(1)$ spin liquid with a large spinon Fermi surface: confinement of slave particles and non-locality of spinons
• Chiral spin liquid in a generalized Kitaev honeycomb model with ${\mathbb{Z}}_4$ 1-form symmetry
• Phase diagram of the J1-J2 Heisenberg second-order topological quantum magnet
• Non-Abelian topological order with SO(5)${}_1$ chiral edge states
• Electronic correlations and spin frustration in the molecular conductors $\kappa$-(BEDT-TTF)${}_2$X probed by magnetic quantum oscillations
• Multistage spin correlations in the $s$ = 1/2 stuffed hyper-star lattice Li${}_2$Cu${}_2$(MoO${}_4$)${}_3$
• Phase diagram and Ashkin-Teller universality in the classical square-lattice Heisenberg-compass model
• Emergent Symmetry-Protected Topological Phases via Polyakov Confinement in Quantum Spin Systems
• Strongly frustrated 2D magnetism in a 3D hexagonal perovskite
• Resonating valence bonds and spinon pairing in the Dicke model
• Spiral spin liquid resilient to quantization in the frustrated honeycomb antiferromagnet GdZnPO
• Engineering magnetic anisotropy and ferromagnetism in topological Kagome metal GdV6Sn6 via Nd substitution
• Higher-order topological quantum paramagnets
• Fragility of the nematic spin liquid induced by diagonal couplings in the square-lattice SU(3) model
• Dynamical Response of the Kitaev Spin Liquid under Third-Nearest-Neighbor Heisenberg Interaction
• Thermal and quantum fluctuations in extended Kitaev-Yao-Lee spin-orbital model
• Phononic enhancement and detection of hidden spin-nematicity and dynamics in quantum magnets
• Three-dimensional spin-orbital liquids
• Frustrated plane-polarized dipoles in one dimension
• Interference Effect of Beam Splitter Current in Iron-Pnictide Superconductors
• Canted ferromagnetic order in a distorted triangular-lattice magnet Na${}_2$SrCo(VO${}_4$)${}_2$
• Probing spatially resolved spin density correlations with trapped excitons
• Dynamical Spectral Function of the Kagome Quantum Spin Liquid
• Coincidence detection techniques for direct measurement of many-body correlations in strongly correlated electron systems
• Quantum geometric magnetic monopole and two-phase superconductivity in CeRh${}_2$As${}_2$
• Spin-basis wavefunctions for the one-dimensional Kitaev model
• Quantum criticality and confinement in weak Mott insulators
• Novel Quantum Spin Liquid States in the $S=\frac{1}{2}$ Three-Dimensional Compound Y${}_3$Cu${}_2$Sb${}_3$O${}_{14}$
• Projected Holstein-Primakoff boson representation of quantum spins for spin wave theory
• Numerical Probe of Dynamical Properties of a Two-Dimensional Triangular Ising Lattice with Long-Range Interaction
• SU(4) Kondo Lattice in Semiconductor Moiré Materials
• A Unsupervised Framework for Identifying Diverse Quantum Phase Transitions Using Classical Shadow Tomography
• From Density Functional Theory to Spin Hamiltonians: Magnetism in $d^5$ Honeycomb Compound OsCl${}_3$
• Universal collective Larmor-Silin mode emerging in magnetized correlated Dirac fermions
• Vortex creation and control in the Kitaev spin liquid by local bond modulations
• A new family of disorder-free Rare-Earth-based kagomé lattice magnets: structure and magnetic characterizations of RE3BWO9 (RE=Pr, Nd, Gd-Ho) Boratotungstates
• Magnetic and thermodynamic studies on the distorted kagome magnet Pr${}_3$BWO${}_9$
• Magnetic field effects on the Kitaev model coupled to environment
• Exactly solvable spin liquids in Kitaev bilayers and moiré superlattices
• Tuning the Chern number of Kitaev quantum spin liquid
• Ligand-SOC enhanced $4f^5$ Kitaev antiferromagnet: Application to ${\mathrm{SmI}}_3$
• Partons from stabilizer codes
• Spin-charge separation in two dimensions: spinon-chargon gauge theories from duality
• Matrix Product Wave Function of the Ground State and Elementary Excitation in the Spin-1/2 Chain
• Z${}_2$ topological orders in kagomé dipolar systems: Feedback from Rydberg quantum simulator
• Finite Spinon Density-of-States in Triangular-Lattice Delafossite TlYbSe${}_2$
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers
• Symmetry-Projected Spin-AGP Methods Applied to Spin Systems
• Diverse electronic topography in a distorted kagome metal LaTi3Bi4
• Collective effects in an incompressible electronic liquid
• Doping dependence of the magnetic ground state in the frustrated magnets Ba${}_2$$M$Te${}_{1-x}$W${}_x$O${}_6$ ($M$ = Mn, Co)
• Magnetic response and antiferromagnetic correlations in strained kagome ribbons
• Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays
• Magnetic-field induced melting of long-range magnetic order akin to Kitaev insulators in the metallic compound Tb5Si3
• Dominant Kitaev Interaction and Field-induced Quantum Disordered Phase in the Cobaltate Na${}_2$Co${}_2$TeO${}_6$
• Solving Sharp Bounded-error Quantum Polynomial Time Problem by Evolution methods
• Dirac node pinning from Dzyaloshinskii-Moriya interactions in a Kagome spin liquid
• Hidden subsystem symmetry protected states in competing topological orders
• Mapping the Phase Diagram of a Frustrated Magnet: Degeneracies, Flat Bands, and Canting Cycles on the Pyrochlore Lattice
• Quantum dynamics of a spin model with an extensive degeneracy
• Quantifying scale-free behaviors in Rock-Paper-Scissors Models as a function of Mobility
• Spin disorder state induced by Mg${}^{2+}$ doping in a Kitaev material Na${}_3$Co${}_2$SbO${}_6$
• Triangular lattice models of the Kalmeyer-Laughlin spin liquid from coupled wires
• Subsystem symmetries, critical Bose surface, and immobile excitations in an extended compass model
• Hidden Frustration in Double-Perovskite CaFeTi${}_2$O${}_6$
• Spin liquid and ferroelectricity close to a quantum critical point in PbCuTe${}_2$O${}_6$
• Programmable order by disorder effect and underlying phases through dipolar quantum simulators
• Spin-singlet dimer phase in a frustrated square lattice under a magnetic field
• Site-resolved observables in the doped spin-imbalanced triangular Hubbard model