Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in Pyrochlore Magnets

Abstract

The spin ice materials, including Ho2Ti2O7 and Dy2Ti2O7, are rare earth pyrochlore magnets which, at low temperatures, enter a constrained paramagnetic state with an emergent gauge freedom. Remarkably, the spin ices provide one of very few experimentally realised examples of fractionalization because their elementary excitations can be regarded as magnetic monopoles and, over some temperature range, the spin ice materials are best described as liquids of these emergent charges. In the presence of quantum fluctuations, one can obtain, in principle, a quantum spin liquid descended from the classical spin ice state characterised by emergent photon-like excitations. Whereas in classical spin ices the excitations are akin to electrostatic charges, in the quantum spin liquid these charges interact through a dynamic and emergent electromagnetic field. In this review, we describe the latest developments in the study of such a quantum spin ice, focussing on the spin liquid phenomenology and the kinds of materials where such a phase might be found.

Review article; 29 pages, 8 figures, 1 table, 189 references, 12 footnotes

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• Quantum spin fluctuations in the dipolar Heisenberg-like rare earth pyrochlores
• Spin Liquid Regimes at Nonzero Temperature in Quantum Spin Ice
• Antiferromagnetic Spin Ice Correlations at (1/2,1/2,1/2) in the Ground State of the Pyrochlore Magnet Tb2Ti2O7
• Quantum effects in a half-polarized pyrochlore antiferromagnet
• Low energy theory of the t-t'-t''-U Hubbard Model at half-filling: interaction strengths in cuprate superconductors and an effective spin-only description of La_2CuO_4
• Spin liquid correlations, anisotropic exchange and symmetry breaking in Tb2Ti2O7
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• Theory of d-density wave viewed from a vertex model and its implications
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• Low-temperature magnetization in geometrically frustrated Tb2Ti2O7
• Geometrical Magnetic Frustration in Rare Earth Chalcogenide Spinels
• Ordering in a frustrated pyrochlore antiferromagnet proximate to a spin liquid
• Lack of Evidence for a Singlet Crystal Field Ground State in the Tb2Ti2O7 Magnetic Pyrochlore
• Magnetodielectric Response of the Spin-Ice Dy2Ti2O7
• RKKY interactions and anomalous Hall effect in metallic rare-earth pyrochlores
• Proposal for a [111] Magnetization Plateau in the Spin Liquid State of Tb2Ti2O7
• Effective quantum pseudospin-1/2 model for Yb pyrochlore oxides
• Molecular spin-orbit excitations in the J_eff = 1/2 frustrated spinel GeCo${}_2$O${}_4$
• Vibrating-coil magnetometry of the spin liquid properties of Tb2Ti2O7
• Emergence of Artificial Photons in an Optical Lattice
• Monopoles, magnetricity and the stray field from spin ice
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• A quantum liquid with deconfined fractional excitations in three dimensions
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Cited by in corpus (332)

• Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
• Quantum Simulators: Architectures and Opportunities
• Frustrated quantum rare-earth pyrochlores
• Thermal Hall conductivity in the frustrated pyrochlore magnet Tb2Ti2O7
• Experimental signatures of a three-dimensional quantum spin liquid in effective spin-1/2 Ce2Zr2O7 pyrochlore
• Machine Learning for Quantum Matter
• Living on the edge : ground-state selection in quantum spin-ice pyrochlores
• Theory of multiple--phase competition in pyrochlore magnets with anisotropic exchange, with application to Yb2Ti2O7, Er2Ti2O7 and Er2Sn2O7
• Frustration and anisotropic exchange in ytterbium magnets with edge-shared octahedra
• Disordered Route to the Coulomb Quantum Spin Liquid: Random Transverse Fields on Spin Ice in Pr${}_2$Zr${}_2$O${}_7$
• Candidate Quantum Spin Liquid in the Ce\textsuperscript{3+} Pyrochlore Stannate Ce${}_2$Sn${}_2$O${}_7$
• A quantum liquid of magnetic octupoles on the pyrochlore lattice
• Frustrated two dimensional quantum magnets
• Fluctuations and all-in$-$all-out ordering in dipole-octupole Nd2Zr2O7
• Quasiparticle Breakdown and Spin Hamiltonian of the Frustrated Quantum Pyrochlore Yb${}_2$Ti${}_2$O${}_7$ in Magnetic Field
• Evidence for a three-dimensional quantum spin liquid in PbCuTe${}_2$O${}_6$
• Quantum spin liquid in the Ising triangular-lattice antiferromagnet neodymium heptatantalate
• Half-filled Landau level, topological insulator surfaces, and three dimensional quantum spin liquids
• Experimental signatures of emergent quantum electrodynamics in Pr${}_2$Hf${}_2$O${}_7$
• Symmetry Enriched U(1) Topological Orders for Dipole-Octupole Doublets on a Pyrochlore Lattice
• Emergence of nontrivial magnetic excitations in a spin liquid state of kagome volborthite
• Disorder-free localization in an interacting two-dimensional lattice gauge theory
• Are multiphase competition & order-by-disorder the keys to understanding Yb2Ti2O7?
• Experimental Insights into Ground State Selection of Quantum XY Pyrochlores
• Magnetic Frustration in Lead Pyrochlores
• Gapped magnetic ground state in quantum-spin-liquid candidate $\kappa$-(BEDT-TTF)${}_2$-Cu${}_2$(CN)${}_3$
• Rank-2 $U(1)$ spin liquid on the breathing pyrochlore lattice
• Pinch Point Singularities of Tensor Spin Liquids
• Spin Liquid State in the 3D Frustrated Antiferromagnet PbCuTe2O6: NMR and muSR Studies
• How quantum are classical spin ices?
• Neutron Spectroscopic Study of Crystalline Electric Field Excitations in Stochiometric and Lightly Stuffed Yb2Ti2O7
• The Spinon Fermi Surface U(1) Spin Liquid in a Spin-Orbit-Coupled Triangular Lattice Mott Insulator YbMgGaO4
• An anisotropic local modification of crystal field levels in Pr-based pyrochlores: a muon-induced effect modelled using density functional theory
• Cavity-induced quantum spin liquids
• Intertwined dipolar and multipolar order in the triangular-lattice magnet TmMgGaO${}_4$
• Exchange interaction between $J$-multiplets
• Observation of long range magnetic ordering in pyrohafnate Nd2Hf2O7: A neutron diffraction study
• A spin liquid with pinch-line singularities on the pyrochlore lattice
• Anisotropic exchange within decoupled tetrahedra in the quantum breathing pyrochlore Ba3Yb2Zn5O11
• The case for a U(1)${}_{\pi }$ Quantum Spin Liquid Ground State in the Dipole-Octupole Pyrochlore Ce${}_2$Zr${}_2$O${}_7$
• A Measure of Monopole Inertia in the Quantum Spin Ice Yb${}_2$Ti${}_2$O${}_7$
• Thermal conductivity of quantum magnetic monopoles in the frustrated pyrochlore Yb2Ti2O7
• Time-reversal symmetric U(1) quantum spin liquids
• Giant exchange interaction in mixed lanthanides
• Candidate quantum spin ice in the pyrochlore Pr${}_2$Hf${}_2$O${}_7$
• Competing spin liquids and hidden nematic order in spin ice with frustrated transverse exchange
• Antiferro-quadrupolar correlations in the quantum spin ice candidate Pr2Zr2O7
• Crystal field parameters of the rare earth pyrochlores $R_2$Ti${}_2$O${}_7$ ($R$ = Tb, Dy, Ho)
• The quantum origins of moment fragmentation in Nd2Zr2O7
• Dynamics of Topological Excitations in a Model Quantum Spin Ice
• Bosonic Many-body Theory of Quantum Spin Ice
• The pyrochlore S=1/2 Heisenberg antiferromagnet at finite temperature
• Coulomb spin liquid in anion-disordered pyrochlore Tb${}_2$Hf${}_2$O${}_7$
• Magnetic monopole condensation in pyrochlore ice quantum spin liquid: application to Pr2Ir2O7 and Yb2Ti2O7
• Structural and Magnetic Investigations of Single-Crystals of the Neodymium Zirconate Pyrochlore, Nd2Zr2O7
• Sleuthing out exotic quantum spin liquidity in the pyrochlore magnet Ce${}_2$Zr${}_2$O${}_7$
• Quantum spin liquid at finite temperature: proximate dynamics and persistent typicality
• Refrustration and competing orders in the prototypical Dy2Ti2O7 spin ice material
• Gapless quantum excitations from an Ice-like Splayed Ferromagnetic ground state in stoichiometric Yb2Ti2O7
• Qubit spin ice
• Spin-Ice State of the Quantum Heisenberg Antiferromagnet on the Pyrochlore Lattice
• Thermal Hall effects in quantum magnets
• Quadrupole Order in the Frustrated Pyrochlore Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Experimental signatures of quantum and topological states in frustrated magnetism
• Signatures of a gearwheel quantum spin liquid in a spin-$\frac{1}{2}$ pyrochlore molybdate Heisenberg antiferromagnet
• How does a locally constrained quantum system localize?
• Spin slush in an extended spin ice model
• Frozen State and Spin Liquid Physics in Na4Ir3O8: an NMR study
• Physical properties of a candidate quantum spin-ice system Pr2Hf2O7
• Crystal field states of Tb3+ in the pyrochlore spin liquid Tb2Ti2O7 from neutron spectroscopy
• Chirality-driven Hall Transport Phenomena of Spins
• Reentrant Phase Diagram of $\mathrm{Y}{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$ in $⟨111⟩$ Magnetic Field
• Quantum Spin Liquid in a Breathing Kagome Lattice
• Quantum spin ice with frustrated transverse exchange: from pi-flux phase to nematic quantum spin liquid
• Quantum spin ice on the breathing pyrochlore lattice
• Antiferromagnetism in the Hubbard model on the honeycomb lattice: a Two-Particle Self-Consistent study
• Order by virtual crystal field fluctuations in pyrochlore XY antiferromagnets
• Novel Strongly Spin-Orbit Coupled Quantum Dimer Magnet: Yb${}_2$Si${}_2$O${}_7$
• The Spectral Periodicity of Spinon Continuum in Quantum Spin Ice
• A Supercooled Spin Liquid State in the Frustrated Pyrochlore Dy2Ti2O7
• Dirac's "magnetic monopole" in pyrochlore ice U(1) spin liquids: Spectrum and classification
• The Emergent Fine Structure Constant of Quantum Spin Ice Is Large
• Quantum Kagome Ice
• Exact emergent higher-form symmetries in bosonic lattice models
• Of chain-based order and quantum spin liquids in dipolar spin ice
• Universal Dynamic Magnetism in Yb-Pyrochlores with Disparate Ground States
• Effect of Chemical Pressure on the Crystal Electric Field States of Erbium Pyrochlore Magnets
• Cluster-glass phase in pyrochlore XY antiferromagnets with quenched disorder
• Pyrochlore U(1) spin liquid of mixed symmetry enrichments in magnetic fields
• Instabilities of a U(1) quantum spin liquid in disordered non-Kramers pyrochlores
• Classical spiral spin liquids as a possible route to quantum spin liquids
• Dimerization tendencies of the pyrochlore Heisenberg antiferromagnet: A functional renormalization group perspective
• Role of defects in determining the magnetic ground state of ytterbium titanate
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• Quantum versus Classical Spin Fragmentation in Dipolar Kagome Ice Ho3Mg2Sb3O14
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• Adapting Planck's route to investigate the thermodynamics of the spin-half pyrochlore Heisenberg antiferromagnet
• Classical and quantum theories of proton disorder in hexagonal water ice
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• $ab$-$initio$ Approaches for Low-Energy Spin Hamiltonians
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• Quantum dynamics of topological strings in a frustrated Ising antiferromagnet
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• Unravelling competing microscopic interactions at a phase boundary: a single crystal study of the metastable antiferromagnetic pyrochlore Yb${}_2$Ge${}_2$O${}_7$
• Kitaev Quantum Spin Liquids
• Clustering of Topological Charges in a Kagome Classical Spin Liquid
• Competing phases and topological excitations of spin-one pyrochlore antiferromagnets
• Block-spiral magnetism: An exotic type of frustrated order
• AC Wien effect in spin ice, manifest in non-linear non-equilibrium susceptibility
• Double Vibronic process in the quantum spin ice candidate Tb${}_2$Ti${}_2$O${}_7$ revealed by terahertz spectroscopy
• Sample independence of magnetoelastic excitations in the rare earth pyrochlore Tb2Ti2O7
• Crystal-field states and defect levels in candidate quantum spin ice Ce${}_2$Hf${}_2$O${}_7$
• Dynamics of K${}_2$Ni${}_2$(SO${}_4$)${}_3$ governed by proximity to a 3D spin liquid model
• Uncovering footprints of dipolar-octupolar quantum spin ice from neutron scattering signatures
• Competing $U(1)$ and ${\mathbb{Z}}_2$ dipolar-octupolar quantum spin liquids on the pyrochlore lattice: application to Ce${}_2$Zr${}_2$O${}_7$
• Thermodynamics of the pyrochlore-lattice quantum Heisenberg antiferromagnet
• Magnetic field effects on the quantum spin liquid behaviors of NaYbS${}_2$
• Coulomb liquid phases of bosonic cluster Mott insulators on a pyrochlore lattice
• Coherent propagation of quasiparticles in topological spin liquids at finite temperature
• Spin Hamiltonian, {Order Out of a Coulomb Phase} and Pseudo-Criticality in the Highly Frustrated Pyrochlore Heisenberg Antiferromagnet FeF${}_3$}
• Competing orders in pyrochlore magnets from a ${\mathbb{Z}}_2$ spin liquid perspective
• Spinon magnetic resonance of quantum spin liquids
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• Few-body systems capture many-body physics: tensor network approach
• Quantum Atmospherics for Materials Diagnosis
• Spin liquid state in a rare-earth hyperkagome lattice
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• Magnetic Excitations in the Ground State of $\mathrm{Y}{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Evidence for a dynamical ground state in a frustrated pyrohafnate Tb2Hf2O7
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• Zeeman interaction and Jahn-Teller effect in ${\Gamma }_8$ multiplet
• Mesoscopic correlations in Tb2Ti2O7 spin liquid
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• The multiple symmetry sustaining phase transitions of spin ice
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• Competing quantum spin liquids, gauge fluctuations, and anisotropic interactions in a breathing pyrochlore lattice
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• Extended Coulomb liquid of paired hardcore boson model on a pyrochlore lattice
• Topological thermal Hall effect of "magnetic monopoles" in pyrochlore U(1) spin liquid
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• Anomalous Magnetoresistance by Breaking Ice Rule in Bi2Ir2O7/Dy2Ti2O7 Heterostructure
• Quantum spin ice in three-dimensional Rydberg atom arrays
• Effective point-charge analysis of crystal electric fields -- application to rare-earth pyrochlores and tripod kagome magnets R3Mg2Sb3O14
• Thermal conductivity across the metal-insulator transition in single crystalline hyperkagome Na${}_{3+x}$Ir${}_3$O${}_8$
• Electric field control of emergent electrodynamics in quantum spin ice
• Semi-classical Approach to Quantum Spin Ice
• Ultralow-temperature heat transport in the quantum spin liquid candidate Ca10Cr7O28 with bilayer kagome lattice
• Importance of dynamic lattice effects for crystal field excitations in quantum spin ice candidate Pr${}_2$Zr${}_2$O${}_7$
• An efficient finite-resource formulation of non-Abelian lattice gauge theories beyond one dimension
• Upper branch magnetism in quantum magnets: Collapses of excited levels and emergent selection rules
• Persistent spin dynamics in the pressurized spin-liquid candidate YbMgGaO${}_4$
• Magnetic Order with Fractionalized Excitations: Applications to ${\mathrm{Yb}}_2{\mathrm{Ti}}_2{\mathrm{O}}_7$
• Probing Flat Band Physics in Spin Ice Systems via Polarized Neutron Scattering
• Fractionalization and Anomalies in Symmetry-Enriched U(1) Gauge Theories
• Fractional Spin fluctuations and quantum liquid signature in Gd2ZnIrO6
• A Classical Chiral Spin-Liquid from Chiral Interactions on the Pyrochlore Lattice
• Deviation from the dipole-ice model in the new spinel spin-ice candidate, MgEr${}_2$Se${}_4$
• Seeing beyond the light: Vison and photon electrodynamics in quantum spin ice
• Multipole groups and fracton phenomena on arbitrary crystalline lattices
• Phonon spectrum of Pr${}_2$Zr${}_2$O${}_7$ and Pr${}_2$Ir${}_2$O${}_7$ as an evidence of coupling of the lattice with electronic and magnetic degrees of freedom
• Continuum excitation and pseudospin wave in quantum spin-liquid and quadrupole ordered states of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Modification of Spin Ice Physics in Ho${}_2$Ti${}_2$O${}_7$ Thin Films
• Fragmented spin ice and multi-$k$ ordering in rare-earth antiperovskites
• Epitaxial stabilization of (111)-oriented frustrated quantum pyrochlore thin films
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• CSPEC: The cold chopper spectrometer of the European Spallation Source, a detailed overview prior to commissioning
• $\mu$SR Study of the Dipole-Octupole Quantum Spin Ice Candidate Ce${}_2$Zr${}_2$O${}_7$
• On two phases inside the Bose condensation dome of Yb${}_2$Si${}_2$O${}_7$
• Topological orders of monopoles and hedgehogs: From electronic and magnetic spin-orbit coupling to quarks
• Constraining the Parameter Space of a Quantum Spin Liquid Candidate in Applied Field with Iterative Optimization
• Crystal field excitations from $\mathrm{Y}{\mathrm{b}}^{3+}$ ions at defective sites in highly stuffed $\mathrm{Y}{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Structural magnetic glassiness in spin ice Dy${}_2$Ti${}_2$O${}_7$
• Optimization of single crystal growth of candidate quantum spin-ice Pr2Hf2O7 by optical floating-zone method
• Spin correlations of quantum-spin-liquid and quadrupole-ordered states of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Structural, magnetic and magnetocaloric properties of triangular-lattice transition-metal phosphates
• Quadrupole order in the frustrated pyrochlore magnet Tb${}_2$Ti${}_2$O${}_7$
• Peering into the darkness: vison-generated photon mass in quantum spin ice
• Multiple Coulomb phases with temperature tunable ice rules in pyrochlore spin crossover materials
• Emergent photons and fractionalized excitations in a quantum spin liquid
• Asymmetric Ferromagnetic Criticality in Pyrochlore Ferromagnet Lu${}_2$V${}_2$O${}_7$
• Slow spin tunneling in the paramagnetic phase of the pyrochlore Nd2Sn2O7
• Quantum percolation of monopole paths and the response of quantum spin ice
• Multi-scale Quantum Criticality driven by Kondo-lattice Coupling in Pyrochlore Systems
• Orientation Dependence of the Magnetic Phase Diagram of Yb${}_2$Ti${}_2$O${}_7$
• Order-by-disorder without quantum zero-point fluctuations in the pyrochlore Heisenberg ferromagnet with Dzyaloshinskii-Moriya interactions
• A Large-$S$ Study of Quantum Kagome Ice
• Solving the quantum dimer and six vertex models one electric field line at a time
• Classification of Classical Spin Liquids: Topological Quantum Chemistry and Crystalline Symmetry
• Deriving quantum spin model for a zigzag-chain ytterbium magnet with anisotropic exchange interactions
• Multi-phase competition in quantum $XY$ pyrochlore antiferromagnet CdYb${}_2$Se${}_4$: zero and applied magnetic field study
• A pseudofermion functional renormalization group study of dipolar-octupolar pyrochlore magnets
• Tunneling-induced restoration of classical degeneracy in quantum kagome ice
• Structural and magnetic properties of the new quantum magnet BaCuTe${}_2$O${}_6$
• Ultrasound detection of emergent photons in generic quantum spin ice
• Topological solitons and bulk polarization switch in collinear type II multiferroics
• Theory Perspective: SCES 2016
• Screening and the Pinch Point Paradox in Spin Ice
• Discovery of new magnetic orders on pyrochlore spinels
• Dynamical Axions in $U(1)$ Quantum Spin Liquids
• Dynamical Signatures of Rank-2 $U(1)$ Spin Liquids
• Hybrid Dyons, inverted Lorentz force and magnetic Nernst effect in quantum spin ice
• Classification of symmetry-enriched topological quantum spin liquids
• Emergent Gauge Fields in Band Insulators
• Finite Temperature Dynamics in 0-Flux and $\pi$-Flux Quantum Spin Ice: Self-Consistent Exclusive Boson Approach
• Dipolar-octupolar correlations and hierarchy of exchange interactions in Ce${}_2$Hf${}_2$O${}_7$
• Understanding the magnetic response of the Quantum spin liquid compound 1T-TaS2
• Frustration relief and reorientation transition in the kagome-like dolerophanite Cu${}_2$OSO${}_4$
• Dimensional change of quadrupole orders in pseudospin-$\frac{1}{2}$ pyrochlore magnets under [111] field
• Topological physics in quantum critical systems
• Anderson localization of emergent quasiparticles: Spinon and vison interplay at finite temperature in a ${\mathbb{Z}}_2$ gauge theory in three dimensions
• Long-wavelength correlations in ferromagnetic titanate pyrochlores as revealed by small angle neutron scattering
• 2-Form U(1) Spin Liquids: Classical Model and Quantum Aspects
• Revisiting spin ice physics in the ferromagnetic Ising pyrochlore Pr${}_2$Sn${}_2$O${}_7$
• Hidden phases born of a quantum spin liquid: Application to pyrochlore spin ice
• Exact Continuum Representation of Long-range Interacting Systems and Emerging Exotic Phases in Unconventional Superconductors
• Thermodynamics of the dipole-octupole pyrochlore magnet Ce${}_2$Hf${}_2$O${}_7$ in applied magnetic fields
• Tunable critical correlations in kagome ice
• Magnetic properties of the spiral spin liquid and surrounding phases in the square lattice XY model
• Signatures of spinon dynamics and phase structure of dipolar-octupolar quantum spin ices in two-dimensional coherent spectroscopy
• Probing emergent QED in quantum spin ice via Raman scattering of phonons: shallow inelastic scattering and pair production
• Traversing the pyrochlore stability diagram; microwave-assisted synthesis and discovery of mixed B-site Ln${}_2$InSbO${}_7$ family
• Two-Peak Heat Capacity Accounts for $R\ln (2)$ Entropy and Ground State Access in the Dipole-Octupole Pyrochlore Ce${}_2$Hf${}_2$O${}_7$
• Magnetoelastic coupling and Grüneisen scaling in NdB${}_4$
• Collective magnetic Higgs excitation in a pyrochlore ruthenate
• Interplay of uniform U(1) quantum spin liquid and magnetic phases in rare earth pyrochlore magnets : a fermionic parton approach
• Neutron scattering from fragmented frustrated magnets
• Classical and quantum spin liquids
• Exploring magneto-electric coupling through lattice distortions: insights from a pantograph model
• Vison crystal in quantum spin ice on the breathing pyrochlore lattice
• Single Crystal Diffuse Neutron Scattering Study of the Dipole-Octupole Quantum Spin Ice Candidate Ce${}_2$Zr${}_2$O${}_7$: No Apparent Octupolar Correlations Above $T=0.05$ K
• Relationship between the ground-state wave function of a magnet and its static structure factor
• Field-temperature phase diagram of the enigmatic Nd${}_2$(Zr${}_{1-x}$Ti${}_x$)${}_2$O${}_7$ pyrochlore magnets
• Order, Disorder and Monopole Confinement in the Spin-$1/2$ XXZ Model on a Pyrochlore Tube
• Spin-lattice Coupling in U(1) Quantum Spin Liquids
• Frustration and chirality in three-dimensional trillium lattices: Insights and Perspectives
• Impact of disorder in Nd-based pyrochlore magnets
• Tuning interactions in the spin-ice materials Dy${}_2$Ge${}_{2-x}$Si${}_x$O${}_7$ by silicon substitution
• Metal-insulator transitions in pyrochlore oxides
• Magnetic field tuning of crystal field levels and vibronic states in Spin-ice Ho${}_2$Ti${}_2$O${}_7$ observed in far-infrared reflectometry
• Elastic study of electric quadrupolar correlation in the paramagnetic state of a frustrated quantum magnet $\mathrm{T}{\mathrm{b}}_{2+\delta }\mathrm{T}{\mathrm{i}}_{2-\delta }{\mathrm{O}}_7$
• Hopfions in lattice dimer model
• Analytical theory of pyrochlore cooperative paramagnets
• Magnetic Field Response of Dipolar-Octupolar Quantum Spin Ice
• Probing topological properties of 3D lattice dimer model with neural networks
• Magnetically disordered ground state in the triangular-lattice antiferromagnets Rb${}_3$Yb(VO${}_4$)${}_2$ and Cs${}_3$Yb(VO${}_4$)${}_2$
• Two-stage evolution of magnetic correlations in spiral spin liquid material, Ca${}_{10}$Cr${}_7$O${}_{28}$
• Theory of transverse magnetization in spin-orbit coupled antiferromagnets
• Electric Field Response In Breathing Pyrochlores
• Persistent dynamic magnetic state in artificial honeycomb spin ice
• Renormalized dual basis for scalable simulations of 2+1D compact quantum electrodynamics
• XY ring exchange model with frustrated Ising coupling on the triangular lattice
• Coulombic antiferromagnet in spin-1/2 pyrochlores with dipole-octupole doublets
• Strong coupling of lattice and orbital excitations in quantum magnet Ca${}_{10}$Cr${}_7$O${}_{28}$: Anomalous temperature dependence of Raman phonons
• Crystalline phases and devil's staircase in qubit spin ice
• Quantum triangular ice in the easy-axis ferromagnetic phase
• Ground state properties of quantum triangular ice
• Low-temperature specific heat and heat transport of Tb${}_2$Ti${}_{2-x}$Zr${}_x$O${}_7$ single crystals
• Quantum Spin Liquids in Pyrochlore Magnets With Non-Kramers Local Moments
• Communicating through a geometrically frustrated channel
• Engineering a multi-level bath for transmons with three-wave mixing and parametric drives
• Classical fracton spin liquid and Hilbert space fragmentation in a 2D spin-$1/2$ model
• Crossover from string to cluster dynamics following a field quench in spin ice
• Quantum loops in the 1T transition metal dichalcogenides
• Spin and quadrupole correlations by three-spin interaction in the frustrated pyrochlore magnet Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Thermal Conductivity of Square Ice
• Coupling quantum spin ice to matter on the centered pyrochlore lattice
• Low frequency spin dynamics in XY quantum spin ice Yb${}_2$Pt${}_2$O${}_7$
• Classical triangular lattice antiferromagnetic Ising model as a free-fermion/superconductor system
• Low-temperature high-frequency dynamic magnetic susceptibility of classical spin-ice Dy${}_2$Ti${}_2$O${}_7$
• Density-Matrix Mean-Field Theory
• Crystallography, Group Cohomology, and Lieb-Schultz-Mattis Constraints
• Quantum entanglement of XY-type spin dimers in Shastry-Sutherland lattice
• Theta electromagnetism in quantum spin ice: Microscopic analysis of improper symmetries
• Geometric fragmentation and anomalous thermalization in cubic dimer model
• Investigating structure and physical properties of quaternary layered transition metal oxide Na2Cu2TeO6
• Influence of controlled disorder on the dipolar spin ice state of Ho-based pyrochlores
• Rotational Grüneisen ratio: a probe for quantum criticality in anisotropic systems
• Dynamic scaling near the Kasteleyn transition in spin ice: critical relaxation of monopoles and strings following a field quench
• Mapping the Phase Diagram of a Frustrated Magnet: Degeneracies, Flat Bands, and Canting Cycles on the Pyrochlore Lattice
• Hearing the light: stray-field noise from the emergent photon in quantum spin ice
• Excitation spectrum and low-temperature magnetism in disordered defect-fluorite Ho2Zr2O7
• Unveiling the Fifth State of Matter: Insights into Ultra-Hot Plasma and its Applications
• 5d-mediated indirect exchange and effective spin Hamiltonians in Ce triangular-lattice delafossites
• Finite-Size Spectral Signatures of Order by Quantum Disorder: A Perspective from Anderson's Tower of States
• Disorder-induced proximate quantum spin ice phase in Pr2Sn2O7
• Internal and External Field Effects upon Crystal Field Excitations in REFeO${}_3$ (RE = Nd${}^{3+}$, Er${}^{3+}$, Yb${}^{3+}$, Pr${}^{3+}$, and Ho${}^{3+}$)
• Enhanced-Entropy Phases in Geometrically Frustrated Pyrochlore Magnets
• Possibility of a Topological Phase Transition in Two-dimensional $R{P}^3$ Model
• Towards a global phase diagram of Ce-based dipolar-octupolar pyrochlore magnets under magnetic fields
• Strongly frustrated 2D magnetism in a 3D hexagonal perovskite