Spin Ice State in Frustrated Magnetic Pyrochlore Materials

Abstract

A frustrated system is one whose symmetry precludes the possibility that every pairwise interaction (``bond'') in the system can be satisfied at the same time. Such systems are common in all areas of physical and biological science. In the most extreme cases they can have a disordered ground state with ``macroscopic'' degeneracy, that is, one that comprises a huge number of equivalent states of the same energy. Pauling's description of the low temperature proton disorder in water ice was perhaps the first recognition of this phenomenon, and remains the paradigm. In recent years a new class of magnetic substance has been characterised, in which the disorder of the magnetic moments at low temperatures is precisely analogous to the proton disorder in water ice. These substances, known as spin ice materials, are perhaps the ``cleanest'' examples of such highly frustrated systems yet discovered. They offer an unparalleled opportunity for the study of frustration in magnetic systems at both an experimental and a theoretical level. This article describes the essential physics of spin ice, as it is currently understood, and identifies new avenues for future research on related materials and models.

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• Spontaneous symmetry breakings in two-dimensional kagome lattice
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• Dirty Spin Ice: The Effect of Dilution on Spin Freezing in Dy2Ti2O7
• Frustrated Ferroelectricity in Niobate Pyrochlores
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• Simulating the Shastry-Sutherland Ising Model using Quantum Annealing
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• New physics in frustrated magnets: Spin ices, monopoles, etc
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• Comment on "Short-range magnetic interactions in the spin-ice compound Ho2Ti2O7"
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• Self-induced spin glass state in elemental and crystalline neodymium
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• Bold Diagrammatic Monte Carlo technique for frustrated spin systems
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• Experimental evidence for a second hydrogen ordered phase of ice VI
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• Dimerization tendencies of the pyrochlore Heisenberg antiferromagnet: A functional renormalization group perspective
• Magnetisation Studies of Geometrically Frustrated Antiferromagnets SrLn2O4, with Ln = Er, Dy and Ho
• Defect Dynamics in Artificial Colloidal Ice: Real-Time Observation, Manipulation and Logic Gate
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• Ice Rule Fragility via Topological Charge Transfer in Artificial Colloidal Ice
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• Correlated Quantum Tunnelling of Monopoles in Spin Ice
• Quantum Magnetism of Spin-Ladder Compounds with Trapped-Ion Crystals
• Magnetic clustering, half-moons, and shadow pinch points as signals of a proximate Coulomb phase in frustrated Heisenberg magnets
• Spin glass behavior in frustrated quantum spin system CuAl2O4 with a possible orbital liquid state
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• Monte Carlo study of the spin-glass phase of the site-diluted dipolar Ising model
• On thermalization of magnetic nano-arrays at fabrication
• Field induced spin ice like orders in spin liquid Tb${}_2$Ti${}_2$O${}_7$
• Thermal Conductivity and Specific Heat of the Spin-Ice Compound Dy${}_2$Ti${}_2$O${}_7$: Experimental Evidence for Monopole Heat Transport
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• Absence of magnetic order in Yb3Ga5O12: relation between phase transition and entropy in geometrically frustrated materials
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• Quantum versus Classical Spin Fragmentation in Dipolar Kagome Ice Ho3Mg2Sb3O14
• Crystal Shape-Dependent Magnetic Susceptibility and Curie Law Crossover in the Spin Ices Dy2Ti2O7 and Ho2Ti2O7
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• From frustration to glassiness via quantum fluctuations and random tiling with exotic entropy
• Palmer-Chalker correlations in the XY pyrochlore antiferromagnet Er2Sn2O7
• Spin dynamics in the ordered spin ice Tb${}_2$Sn${}_2$O${}_7$
• Frustrated Superradiant Phase Transition
• Temperature and Magnetic Field Dependence of Spin Ice Correlations in the Pyrochlore Magnet Tb2Ti2O7
• Ground state selection under pressure in the quantum pyrochlore magnet Yb2Ti2O7
• Low-temperature properties of single-crystal CrB${}_2$
• Higgs transitions of spin ice
• Thermal Transport for Probing Quantum Materials
• Dipolar-Octupolar Ising Antiferromagnetism in Sm${}_2$Ti${}_2$O${}_7$: A Moment Fragmentation Candidate
• Competing phases and topological excitations of spin-one pyrochlore antiferromagnets
• The Spin Liquid State of the Tb2Ti2O7 Pyrochlore Antiferromagnet: A Puzzling State of Affairs
• Unravelling competing microscopic interactions at a phase boundary: a single crystal study of the metastable antiferromagnetic pyrochlore Yb${}_2$Ge${}_2$O${}_7$
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• Ordered Phase of the Dipolar Spin Ice under [110]-Magnetic Fields
• Finding hidden order in spin models with persistent homology
• The Frustration of being Odd: Universal Area Law violation in local systems
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• Frustrated Heisenberg $J_1-J_2$ model within the stretched diamond lattice of LiYbO2
• Incommensurate antiferromagnetic order in the manifoldly-frustrated SrTb${}_2$O${}_4$ with transition temperature up to 4.28 K
• Critical speeding-up near the monopole liquid-gas transition in magnetoelectric spin-ice
• Magnetic correlations in spin ice Ho2-xYxTi2O7 as revealed by neutron polarization analysis
• AC Wien effect in spin ice, manifest in non-linear non-equilibrium susceptibility
• Local-Ising type magnetic order and metamagnetism in the rare-earth pyrogermanate Er${}_2$Ge${}_2$O${}_7$
• Monopole density and antiferromagnetic domain control in spin-ice iridates
• Scaling at quantum phase transitions above the upper critical dimension
• Fractionalized charge excitations in a spin liquid on partially-filled pyrochlore lattice
• Low energy structure of spiral spin liquids
• Gapped and gapless short range ordered magnetic states with $(\frac{1}{2},\frac{1}{2},\frac{1}{2})$ wavevectors in the pyrochlore magnet Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+\delta }$
• Anomalous magnetic noise in imperfect flat bands in the topological magnet Dy2Ti2O7
• Observation of non-Fermi liquid behavior in hole doped Eu2Ir2O7
• Macroscopic signature of protected spins in a dense frustrated magnet
• Coulomb liquid phases of bosonic cluster Mott insulators on a pyrochlore lattice
• Monopole ordered phases in dipolar and nearest-neighbours Ising pyrochlore: from spin ice to the "all-in--all-out" antiferromagnet
• Effect of magnetoelastic coupling on spin-glass behavior in Heisenberg pyrochlore antiferromagnets with bond disorder
• Complex Spin Hamiltonian Represented by Artificial Neural Network
• Field evolution of the magnetic structures in Er${}_2$Ti${}_2$O${}_7$ through the critical point
• Investigations of the effect of nonmagnetic Ca substitution for magnetic Dy on spin-freezing in Dy2Ti2O7
• Melting of Spin Ice state through structural disorder in Dy2Zr2O7
• Classical to quantum mapping for an unconventional phase transition in a three-dimensional classical dimer model
• Frustration effects in antiferromagnetic molecules: the cuboctahedron
• Field-tuned order by disorder in Ising frustrated magnets with antiferromagnetic interactions
• Investigation of the magnetic fluctuations in Tb${}_2$Sn${}_2$O${}_7$ ordered spin ice by high resolution energy-resolved neutron scattering
• Quantum spin ice under a [111] magnetic field: from pyrochlore to kagomé
• Electronic transport in the Coulomb phase of the pyrochlore spin ice
• Magnetic monopoles with internal structure
• Magnetic ordered structure dependence of magnetic refrigeration efficiency
• Discovery of Emergent Photon and Monopoles in a Quantum Spin Liquid
• Ultrasonic investigations of spin-ices Dy${}_2$Ti${}_2$O${}_7$ and Ho${}_2$Ti${}_2$O${}_7$ in and out of equilibrium
• Spin liquid state in a rare-earth hyperkagome lattice
• The magnetic properties of the Garnet and glass forms of Mn3Al2Si3O12
• Quantum Hall ice
• A field trip through spin ice
• Magnetic properties of monoclinic lanthanide metaborates, $Ln$(BO${}_2$)${}_3$, $Ln$ = Pr, Nd, Gd, Tb
• Thermal-transport studies of Two-dimensional Quantum Spin Liquids
• Muon spin relaxation and inelastic neutron scattering investigations of all-in/all-out antiferromagnet Nd2Hf2O7
• Superconducting Transition in the $\beta$-Pyrochlore AOs${}_2$O${}_6$ (A=Cs, Rb, K) under Pressure
• Special temperatures in frustrated ferromagnets
• Coexistence of long-range and algebraic correlations for short-range valence-bond wave functions in three dimensions
• Composite spin and quadrupole wave in the ordered phase of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Susceptibility anisotropy and its disorder evolution in models for Kitaev materials
• Muon spin rotation and neutron scattering investigations of the B-site ordered double perovskite Sr2DyRuO6
• Classical and quantum phases of the pyrochlore $S=1/2$ magnet with Heisenberg and Dzyaloshinskii-Moriya interactions
• Generalised Longitudinal Susceptibility for Magnetic Monopoles in Spin Ice
• Local Susceptibility of the Yb2Ti2O7 Rare Earth Pyrochlore Computed from a Hamiltonian with Anisotropic Exchange
• Geometrical lattice engineering of complex oxide heterostructures: a designer approach to emergent quantum states
• Time-reversal-like degeneracies distinguished by the anomalous Hall effect in a metallic kagome ice compound
• High temperature spin-freezing transition in Pyrochlore Eu2Ti2O7: A new observation from ac-susceptibility
• Evolution of antiferromagnetic domains in the all-in-all-out ordered pyrochlore Nd${}_2$Zr${}_2$O${}_7$
• Identification of hidden order and emergent constraints in frustrated magnets using tensorial kernel methods
• An irreversible magnetic-field dependence of low-temperature heat transport of spin-ice compound Dy_2Ti_2O_7 in a [111] field
• Theory of magnetostriction for multipolar quantum spin ice in pyrochlore materials
• Tensor Electromagnetism and Emergent Elasticity in Jammed Solids
• Artificial spin ice and vertex models
• Magnetic Transformations in the Organic Conductor kappa-(BETS)2Mn[N(CN)2]3 at the Metal-Insulator Transition
• Exploring the phases of 3D artificial spin ice: From Coulomb phase to magnetic monopole crystal
• Dzyaloshinskii-Moriya interactions in valence bond systems
• Quantum Spin Ice Response to a Magnetic Field in the Dipole-Octupole Pyrochlore Ce${}_2$Zr${}_2$O${}_7$
• Phonon-mediated spin-flipping mechanism in the spin ices Dy${}_2$Ti${}_2$O${}_7$ and Ho${}_2$Ti${}_2$O${}_7$
• Spinon walk in quantum spin ice
• Hydrogenic states of monopoles in diluted quantum spin ice
• Magnetic structure of the promising candidate for three-dimensional artificial spin ice: small angle neutron diffraction and micromagnetic simulations
• Magnetoelectric effect in cylindrical topological insulators
• Crystal growth and characterization of the pyrochlore Tb${}_2$Ti${}_2$O${}_7$
• Quantum Spin Liquid State in the Disordered Triangular Lattice Sc2Ga2CuO7
• Quantum disordered insulating phase in the frustrated cubic-lattice Hubbard model
• Further insights into the thermodynamics of the Kitaev honeycomb model
• Direct visualization of vortex ice in a nanostructured superconductor
• Double-layered monopolar order in Tb2Ti2O7 spin liquid
• Control of spin dynamics in artificial honeycomb spin-ice-based nanodisks
• Fragile singlet ground state magnetism in pyrochlore osmates R2Os2O7 (R=Y and Ho)
• Evidence for a dynamical ground state in a frustrated pyrohafnate Tb2Hf2O7
• Monopolar and dipolar relaxation in spin ice Ho${}_2$Ti${}_2$O${}_7$
• Spin-orbital glass transition in a model of a frustrated pyrochlore magnet without quenched disorder
• Magnetic monopole polarons in spin ice with mixed coordination numbers
• Emergent Coulombic criticality and Kibble-Zurek scaling in a topological magnet
• CePdAl - a Kondo lattice with partial frustration
• Frustrated magnetism in the Heisenberg pyrochlore antiferromagnets $A$Yb${}_2$$X$${}_4$ ($A$ = Cd, Mg, $X$ = S, Se)
• Single crystal growth, structure and magnetic properties of Pr2Hf2O7 pyrochlore
• AC Susceptibility of the Dipolar Spin Ice Dy2Ti2O7: Experiments and Monte Carlo Simulations
• Intrinsic and extrinsic nonstationary field-driven processes in the spin-ice compound Dy2Ti2O7
• The pyrochlore Ho2Ti2O7: Synthesis, crystal growth and stoichiometry
• Resolving magnetic frustration in a pyrochlore lattice
• Non-monotonic residual entropy in diluted spin ice: a comparison between Monte Carlo simulations of diluted dipolar spin ice models and experimental results
• Anisotropic Monopole Heat Transport in the Spin-Ice Compound Dy${}_2$Ti${}_2$O${}_7$
• Hierarchy of energy scales and field-tunable order by disorder in dipolar-octupolar pyrochlores
• The emergence of gauge invariance: the stay-at-home gauge versus local-global duality
• Quenched Dynamics of Artificial Spin Ice: Coarsening versus Kibble-Zurek
• Dimer Physics in the Frustrated Cairo Pentagonal Antiferromagnet Bi2Fe4O9
• Dipolar spin ice states with fast monopole hopping rate in CdEr${}_2$X${}_4$ (X = Se, S)
• Low-temperature thermal conductivity of Dy_2Ti_2O_7 and Yb_2Ti_2O_7 single crystals
• Thermodynamics of the classical spin-ice model with nearest neighbour interactions using the Wang-Landau algorithm
• Orbital ice: an exact Coulomb phase on the diamond lattice
• Enhancement of ferroelectricity in Cr-doped Ho_2Ti_2O_7
• Field-Induced magnetic structures in Tb2Ti2O7 at low temperatures: From spin-ice to spin-flip structures
• Suppression of Pauling's Residual Entropy in Dilute Spin Ice (Dy${}_{1-x}$Y${}_x$)${}_2$Ti${}_2$O${}_7$
• Crystal-electric-field excitations in a quantum-spin-liquid candidate NaErS${}_2$
• Molecular spin-liquid state in spin-3/2 frustrated spinel HgCr${}_2$O${}_4$
• Magnetization, crystal structure and anisotropic thermal expansion of single-crystal SrEr2O4
• Effect of FePd alloy composition on the dynamics of artificial spin ice
• Magnetic and Structural Phase Transitions in the Spinel Compound Fe1+xCr2-xO4
• Antiferromagnetism and crystalline-electric field excitations in tetragonal NaCeO2
• The multiple symmetry sustaining phase transitions of spin ice
• Fingerprints of quantum spin ice in Raman scattering
• Critical phenomena in a highly constrained classical spin system: Neel ordering from the Coulomb phase
• Classical and quantum order in hyperkagome antiferromagnets
• Emergent dimensional reduction of the spin sector in a model for narrow-band manganites
• 2D Kagome Ordering in the 3D Frustrated Spinel Li2Mn2O4
• Competing quantum spin liquids, gauge fluctuations, and anisotropic interactions in a breathing pyrochlore lattice
• Phase transitions, order by disorder and finite entropy in the Ising antiferromagnetic bilayer honeycomb lattice
• Monte Carlo based techniques for quantum magnets with long-range interactions
• Effective decoupling of ferromagnetic sublattices by frustration in Heusler alloys
• Tripartite entangled plaquette state in a cluster magnet
• Spin Waves in the Ferromagnetic Ground State of the Kagome Staircase System Co3V2O8
• Neutron Larmor diffraction investigation of the rare earth pyrochlores $R_2$Ti${}_2$O${}_7$ ($R$ = Tb, Dy, Ho)
• First-principles insights into f magnetism, a case study on some magnetic pyrochlores
• Hydrodynamics of three-dimensional skyrmions in frustrated magnets
• Generation of ice states through deep reinforcement learning
• Low temperature magnetic structure of geometrically frustrated SrHo2O4
• Antiferromagnetic spin-frustrated layers of corner-sharing Cu4 tetrahedra on the kagome lattice in volcanic minerals Cu5O2(VO4)2(CuCl), NaCu5O2(SeO3)2Cl3, and K2Cu5Cl8(OH)4 2H2O
• Extended Coulomb liquid of paired hardcore boson model on a pyrochlore lattice
• Ordered spin-ice state in the geometrically frustrated metallic-ferromagnet Sm2Mo2O7
• Free coherent spinons in quantum square ice
• Magnetic frustration in a metallic fcc lattice
• Magnetism and electronic structure of YTiO${}_3$ thin films
• Nonmagnetic ordering state of single-crystal SrTm${}_2$O${}_4$: A polarized and unpolarized neutron-scattering study
• Coulombic Charge Ice
• Spin Correlations in the Geometrically Frustrated Pyrochlore Tb2Mo2O7
• Origin of magnetic freezing in the pyrochlore Y2Mo2O7
• Zero-temperature phase of the XY spin glass in two dimensions: Genetic embedded matching heuristic
• Magnetothermal study of Dy Stuffed Spin Ice: Dy2(DyxTi2-x)O7-x/2
• Emergent magnetic state in (111)-oriented quasi-two-dimensional spinel oxides
• Experimental observation of magnetoelectricity in spin ice Dy${}_2$Ti${}_2$O${}_7$
• Rod motifs in neutron scattering in spin ice
• Semi-classical Approach to Quantum Spin Ice
• Small and hollow magnetic monopoles
• Heat transport of the spin-ice materials Ho${}_2$Ti${}_2$O${}_7$ and Dy${}_2$Ti${}_2$O${}_7$
• Maxwell electromagnetism as an emergent phenomenon in condensed matter
• Absence of moment fragmentation in the mixed $B$-site pyrochlore Nd${}_2$GaSbO${}_7$
• Anisotropic paramagnetism of monoclinic Nd2Ti2O7 single crystals
• Confinement of monopoles and scaling theory near unconventional critical points
• Anomalous Magnetoresistance by Breaking Ice Rule in Bi2Ir2O7/Dy2Ti2O7 Heterostructure
• Transition-metal distribution in kagome antiferromagnet CoCu3(OH)6Cl2 revealed by resonant x-ray diffraction
• Static properties of 2D spin-ice as a sixteen-vertex model
• Doped Colloidal Artificial Ice
• Dimensional reduction in quantum spin-1/2 system on a 1/7-depleted triangular lattice
• Low-temperature heat transport of the geometrically frustrated antiferromagnets R_2Ti_2O_7 (R = Gd and Er)
• Affine lattice construction of spiral surfaces in classical Heisenberg models
• Emergent order in the spin-frustrated system DyxTb2-xTi2O7 studied by ac susceptibility measurements
• Charge and spin correlations in the Monopole Liquid
• Entropy of the diluted antiferromagnetic Ising models on the frustrated lattices using the Wang-Landau method
• Novel Magnetic and Thermodynamic Properties of Thiospinel Compound CuCrZrS${}_4$
• GdPtPb: A non collinear antiferromagnet with distorted Kagomé lattice
• Quantum Anomalous Hall Effect and Anderson Chern Insulating Regime in Noncollinear Antiferromagnetic 3Q State
• Magneto-optics induced by the spin chirality in itinerant ferromagnet Nd${}_2$Mo${}_2$O${}_7$
• Probing Flat Band Physics in Spin Ice Systems via Polarized Neutron Scattering
• Experimental signatures of versatile Weyl semimetal in pyrochlore iridate with spin-ice like magnetic orders
• The 3D Kasteleyn transition in dipolar spin ice: a numerical study with the Conserved Monopoles Algorithm
• On the relationship between topological and geometric defects
• A Classical Chiral Spin-Liquid from Chiral Interactions on the Pyrochlore Lattice
• Excitation Spectrum and Spin Hamiltonian of the Frustrated Quantum Ising Magnet Pr${}_3$BWO${}_9$
• Nanostructured complex oxides as a route towards thermal behavior in artificial spin ice systems
• Large peaks in the entropy of the diluted nearest-neighbor spin-ice model on the pyrochlore lattice in a [111] magnetic field
• Comparison of diluted antiferromagnetic Ising models on frustrated lattices in a magnetic field
• Deviation from the dipole-ice model in the new spinel spin-ice candidate, MgEr${}_2$Se${}_4$
• Monte Carlo study of degenerate groundstates and residual entropy in a frustrated honeycomb lattice Ising model
• Giant Magnetoelastic-Coupling Driven Spin-Lattice Liquid State in Molybdate Pyrochlores
• Seeing beyond the light: Vison and photon electrodynamics in quantum spin ice
• Spin Correlations in the Dipolar Pyrochlore Antiferromagnet Gd2Sn2O7
• A neutron scattering measurement of crystalline-electric fields in magnesium rare-earth selenide spinels
• Statistical mechanics of graph models and their implications for emergent spacetime manifolds
• Prethermal nematic order and staircase heating in a driven frustrated Ising magnet with dipolar interactions
• Quenched crystal field disorder and magnetic liquid ground states in Tb2Sn2-xTixO7
• Thermally-induced magnetic order from glassiness in elemental neodymium
• The Polarized Monopole Liquid: a Coulomb phase in a fluid of magnetic charges
• Specific heat study of spin-structural change in pyrochlore Nd${}_2$Mo${}_2$O${}_7$
• Magnetism in the S=1 frustrated antiferromagnet GeNi2O4 studied using implanted muons
• 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
• Nuclear spin assisted quantum tunnelling of magnetic monopoles in spin ice
• Fragmented spin ice and multi-$k$ ordering in rare-earth antiperovskites
• Monte Carlo study of the discontinuous quantum phase transition in the transverse-field Ising model on the pyrochlore lattice
• Tropical Limit in Statistical Physics
• Low-temperature muon spin rotation studies of the monopole charges and currents in Y doped Ho2Ti2O7
• Field-rotational magnetocaloric effect: A new experimental technique for accurate measurement of the anisotropic magnetic entropy
• Thermodynamic Investigation of Metamagnetic Transitions and Partial Disorder in the Quasi-Kagome Kondo Lattice CePdAl
• Epitaxial stabilization of (111)-oriented frustrated quantum pyrochlore thin films
• Phase-Space Networks of Geometrical Frustrated Systems
• Absence of anomalous negative lattice-expansion for polycrystalline sample of Tb2Ti2O7
• Superconducting phase transition reveals an electromagnetic coupling to a scalar field potential that generates mechanical work
• Loop algorithm for classical Heisenberg models with spin-ice type degeneracy
• Crystal field excitations from $\mathrm{Y}{\mathrm{b}}^{3+}$ ions at defective sites in highly stuffed $\mathrm{Y}{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Artificial Spin Ice: A Tutorial on Design and Control of Geometry, Microstate, Magnon Dynamics & Neuromorphic Computing
• Magnetic order in Tb${}_2$Sn${}_2$O${}_7$ under high pressure: from ordered spin ice to spin liquid and antiferromagnetic order
• Phases and collective modes of bosons in a triangular lattice at finite temperature: A cluster mean field study
• Field induced phase diagram of the XY pyrochlore antiferromagnet Er${}_2$Ti${}_2$O${}_7$
• Two geometrically frustrated magnets studied by neutron diffraction
• Interfacial phase frustration stabilizes unconventional skyrmion crystals
• The magnetic structure of Gd_2Ti_2O_7
• $\mu$SR Study of the Dipole-Octupole Quantum Spin Ice Candidate Ce${}_2$Zr${}_2$O${}_7$
• Prethermal time-crystalline spin ice and monopole confinement in a driven magnet
• Spin-liquid phase and order-by-disorder of classical Heisenberg spins on the swedenborgite lattice
• Investigation of the complex magnetism in the breathing pyrochlore LiIn(Cr${}_{1-x}$Rh${}_x$)${}_4$O${}_8$
• Emergent photons and fractionalized excitations in a quantum spin liquid
• Magnetic phase diagram of a 2-dimensional triangular lattice antiferromagnet Na${}_2$BaMn(PO${}_4$)${}_2$
• Structural magnetic glassiness in spin ice Dy${}_2$Ti${}_2$O${}_7$
• Topological Boundary Constraints in Artificial Colloidal Ice
• Multiple Coulomb phases with temperature tunable ice rules in pyrochlore spin crossover materials
• Asymmetric Ferromagnetic Criticality in Pyrochlore Ferromagnet Lu${}_2$V${}_2$O${}_7$
• Magnetisation plateaux of the quantum pyrochlore Heisenberg antiferromagnet
• NMR evidence of spinon localization in kagome antiferromagnet YCu${}_3$(OH)${}_6$Br${}_2$[Br${}_{1-x}$(OH)${}_x$]
• Structural, magnetic and magnetocaloric properties of triangular-lattice transition-metal phosphates
• Spin correlations of quantum-spin-liquid and quadrupole-ordered states of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Voltage Control of Magnetic Monopoles in Artificial Spin Ice
• Proton strings and rings in atypical nucleation of ferroelectricity in ice
• Optimization of single crystal growth of candidate quantum spin-ice Pr2Hf2O7 by optical floating-zone method
• Quantum phase diagram of two-dimensional transverse field Ising model: unconstrained tree tensor network and mapping analysis
• Competing orders for the colloidal kagome ice: the importance of in-trap motion of the particles
• Re-entrant Structural Phase Transition in a Frustrated Kagome Magnet, Rb2SnCu3F12
• Half-Magnetization Plateau of a Dipolar Spin Ice in a [100] Field
• Spin-phonon induced magnetic order in Kagome ice
• Universal monopole scaling near transitions from the Coulomb phase
• Frustration-induced Dodecamer Ordering in the Double-Exchange Spin Ice Model on the Kagomé Lattice
• Supersymmetry on the lattice: Geometry, Topology, and Flat Bands
• Violation of the fluctuation-dissipation theorem and effective temperatures in spin ice
• Spin wave spectral probing of possible microstates in building-block of macroscopically degenerate artificial spin ice
• Phonon thermal Hall effect in non-magnetic Y${}_2$Ti${}_2$O${}_7$
• Large-scale calculation of ferromagnetic spin systems on the pyrochlore lattice
• Frustrated polaritons
• Dilution effects in Ho${}_{2-x}$Y${}_x$Sn${}_2$O${}_7$: from the Spin Ice to the single-ion magnet
• Electronic structure by X-ray absorption spectroscopy and observation offield induced unusually slowspin relaxation from magnetic properties in pyrochlore Eu${}_{2-x}$Fe${}_x$Ti${}_2$O${}_7$
• Magnetotransport of single crystal Sm${}_2$Ir${}_2$O${}_7$ across the pressure-induced quantum-critical phase boundary
• The magnetic behaviour of Dy${}_2$Ir${}_2$O${}_7$ -- beyond the mean field approximation
• Field-Induced Ordering in Dipolar Spin Ice
• Inertial effects in systems with magnetic charge
• A pseudofermion functional renormalization group study of dipolar-octupolar pyrochlore magnets
• Geometrical optimization of spin clusters for the preservation of quantum coherence
• Interplay of dilution and magnetic field in the nearest-neighbor spin-ice model on the pyrochlore lattice
• Polarization Plateaus in Hexagonal Water Ice $I_h$
• Structural and magnetic properties of the new quantum magnet BaCuTe${}_2$O${}_6$
• Topological solitons and bulk polarization switch in collinear type II multiferroics
• Pyrochlore NaYbO2: A potential Quantum Spin Liquid Candidate
• Low Energy Magneto-optics of Tb${}_2$Ti${}_2$O${}_7$ in [111] Magnetic Field
• Magnetization dynamics of weakly interacting sub-100 nm square artificial spin ices
• Amorphous ferromagnetism and re-entrant magnetic glassiness in Sm${}_2$Mo${}_2$O${}_7$: new insights into the electronic phase diagram of pyrochlore molybdates
• Four-coloring model and frustrated superfluidity in the diamond lattice
• A cluster algorithm for Monte Carlo simulations of spin ice
• An intermediate state between the kagome-ice and the fully polarized state in Dy${}_2$Ti${}_2$O${}_7$
• Macroscopic Magnetic Monopoles in a 3D-Printed Mechano-Magnet
• Magnetic structures and electronic properties of cubic-pyrochlore ruthenates from first principles
• Line-Graph Approach to Spiral Spin Liquids
• Equilibrium Field Theory of Magnetic Monopoles in Degenerate Square Spin Ice: Correlations, Entropic Interactions, and Charge Screening Regimes
• Effects of "stuffing" on the atomic and electronic structure of the pyrochlore Yb${}_2$Ti${}_2$O${}_7$
• Multi-phase competition in quantum $XY$ pyrochlore antiferromagnet CdYb${}_2$Se${}_4$: zero and applied magnetic field study
• Extremely slow non-equilibrium monopole dynamics in classical spin ice
• Screening and the Pinch Point Paradox in Spin Ice
• Goldstone modes in the emergent gauge fields of a frustrated magnet
• Fractionalized Metals and Superconductors in Three Dimensions
• Two--center quantum MICZ--Kepler system and the Zeeman effect in the charge-dyon system
• Orientation-dependent stabilization of MgCr${}_2$O${}_4$ spinel thin films
• Dichotomous Dynamics of Magnetic Monopole Fluids
• Frustration Elimination and Excited State Search in Coherent Ising Machines
• Electronic properties of disordered corner-sharing tetrahedral lattices
• T-duality and the bulk-boundary correspondence
• Spin-Frustrated Pyrochlore Chains in the Volcanic Mineral Kamchatkite (KCu3OCl(SO4)2)
• Hybrid Dyons, inverted Lorentz force and magnetic Nernst effect in quantum spin ice
• Frustrated ferromagnetic transition in AB-stacked honeycomb bilayer
• Incommensurate magnetism in K${}_2$MnS${}_{2-x}$Se${}_x$ and prospects for tunable frustration in a triangular lattice of pseudo-1D spin chains
• Discovery of new magnetic orders on pyrochlore spinels
• A generalized Monte Carlo loop algorithm for frustrated Ising models
• Melting of spin ice state and development of fifth order susceptibility with magnetic field in pyrochlore Tb2Sn2O7
• Investigation of the monopole magneto-chemical potential in spin ices using capacitive torque magnetometry
• MuSR and neutron diffraction studies on the tuning of spin-glass phase in partially ordered double perovskite SrMn${}_{1-x}$W${}_x$O${}_3$
• The Concept of Spin Ice Graphs and a Field Theory for their Topological Monopoles and Charges
• Finite Temperature Dynamics in 0-Flux and $\pi$-Flux Quantum Spin Ice: Self-Consistent Exclusive Boson Approach
• Bilayer artificial spin ice: magnetic force switching and basic thermodynamics
• Spin waves in the anisotropic fcc kagome antiferromagnet
• Unveiling the Physics of the Mutual Interactions in Paramagnets
• Effective-Dimension Theory of Critical Phenomena above Upper Critical Dimensions
• Quantum phase transitions in the triangular coupled-top model
• Antiferromagnetic ordering and critical behavior induced giant magnetocaloric effect in distorted kagome lattice Gd${}_3$BWO${}_9$
• Quantum order by disorder in a semiclassical spin ice
• Assessment of the RE(OH)3 Ising-like Magnetic Materials as Possible Candidates for the Study of Transverse-Field-Induced Quantum Phase Transitions
• Local excitation of kagome spin ice magnetism in HoAgGe seen by scanning tunneling microscopy
• Linear scaling relationship of Néel temperature and dominant magnons in pyrochlore ruthenates
• Frustration and Correlations in Stacked Triangular Lattice Ising Antiferromagnets
• Intermediate phase and pseudo phase transition in an artificial spin ice model
• Bimagnetic Monopoles
• The Magnetic Structure of $E{r}_{2}T{i}_2{O}_7$
• Magnetization process and ordering of the $S=1/2$ pyrochlore magnet in a field
• A strong coupling theory for electron-mediated interactions in double-exchange models
• Degenerate ground state in the classical pyrochlore antiferromagnet Na${}_3$Mn(CO${}_3$)${}_2$Cl
• Spin diffusion in geometrically frustrated Heisenberg antiferromagnets
• Probing emergent QED in quantum spin ice via Raman scattering of phonons: shallow inelastic scattering and pair production
• Specific Features of Phase States of a Diluted 2D Magnet with Frustration
• Long-wavelength correlations in ferromagnetic titanate pyrochlores as revealed by small angle neutron scattering
• Harmonic oscillators from displacement operators and thermodynamics
• Dimensional change of quadrupole orders in pseudospin-$\frac{1}{2}$ pyrochlore magnets under [111] field
• Spin structure factor and thermodynamics in the antiferromagnetic quantum Ising model in the pyrochlore lattice
• Magnetic field-induced deformation of the spin-density wave microphases in Ca${}_3$Co${}_2$O${}_6$
• Exact Continuum Representation of Long-range Interacting Systems and Emerging Exotic Phases in Unconventional Superconductors
• Neutron scattering study of role of partial disorder-type spin fluctuations in conductivity of frustrated conductor Mn${}_3$Pt
• Collective magnetic Higgs excitation in a pyrochlore ruthenate
• Traversing the pyrochlore stability diagram; microwave-assisted synthesis and discovery of mixed B-site Ln${}_2$InSbO${}_7$ family
• 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${}_7$
• Magnetic properties of the spiral spin liquid and surrounding phases in the square lattice XY model
• Fingerprints of a charge ice state in the doped Mott insulator Nb${}_3$Cl${}_8$
• Monte Carlo study on the detection of classical order by disorder in real antiferromagnetic Ising pyrochlores
• Interplay of disorder and geometrical frustration in doped Gadolinium Gallium Garnet
• Neutron scattering from fragmented frustrated magnets
• Relieving the frustration through Mn${}^{3+}$ substitution in Holmium Gallium Garnet
• Absence of magnetic long range order in Y${}_2$CrSbO${}_7$: bond-disorder induced magnetic frustration in a ferromagnetic pyrochlore
• Geometrically Frustrated Coarsening Dynamics in Spinor Bose-Fermi Mixtures
• Anomalous spin waves in CsFeCl${}_3$ and RbFeCl${}_3$
• Magnetic Field Induced Phase Transition in Spinel GeNi2O4
• Continuous degeneracy of the fcc kagome lattice with magnetic dipolar interactions
• Defect QED: Dielectric without a Dielectric, Monopole without a Monopole
• Universal Renyi mutual information in classical systems: the case of kagome ice
• Entropy as a function of magnetization for a 2D spin-ice model exhibiting a Kasteleyn transition
• Pinch points and half-moons in dipolar-octupolar Nd${}_2$Hf${}_2$O${}_7$
• Spin correlation in kagomé ice state: neutron scattering study of the dipolar spin ice Dy_{2}Ti_{2}O_{7} under magnetic field along [111]
• Lattice dynamics and spin-phonon coupling in the kagome spin ice HoAgGe
• Crystal-field magnetostriction of the spin ice under ultrahigh magnetic fields
• Exploring magneto-electric coupling through lattice distortions: insights from a pantograph model
• Attraction controls the entropy of fluctuations in isosceles triangular networks
• 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
• From Frustrated to Unfrustrated: Coupling two triangular-lattice itinerant Quantum Magnets
• Tricritical transition in the classical XY model on Kagomé lattice under local anisotropy
• Exotic quantum statistics and thermodynamics from a number-conserving theory of Majorana fermions
• Electric Field Response In Breathing Pyrochlores
• Tuning interactions in the spin-ice materials Dy${}_2$Ge${}_{2-x}$Si${}_x$O${}_7$ by silicon substitution
• Symmetry, Superposition and Fragmentation in Classical Spin Liquids: A General Framework and Applications to Square Kagome Magnets
• Energetic analysis of disorder effects in an artificial spin ice with dipolar interactions
• Metal-insulator transitions in pyrochlore oxides
• Classical fully-packed loop model with attractive interactions on the square lattice
• Hysteresis and Relaxation Effects in the Spin-Ice Compound Dy${}_2$Ti${}_2$O${}_7$ studied by Heat Transport
• Zero-point entropies of spin-jam and spin-glass states in a frustrated magnet
• Frustration and chirality in three-dimensional trillium lattices: Insights and Perspectives
• ${\mathbb{Z}}_2$ vortices in the ground states of classical Kitaev-Heisenberg models
• Quantum phase transitions in a Dicke trimer with both photon and atom hoppings
• Pinch-point spectral singularity from the interference of topological loop states
• Infrared phonon spectroscopy on the Cairo pentagonal antiferromagnet Bi2Fe4O9: a study through the pressure induced structural transition
• Theory of magnetism for rare-earth magnets on the Shastry-Sutherland lattice with non-Kramers ions
• Phase diagram of the dipolar Ising ferromagnet on a kagome lattice
• Echo state property and memory capacity of artificial spin ice
• Crossover between tricritical and Lifshitz points in pyrochlore FeF${}_3$
• Low-temperature specific heat and heat transport of Tb${}_2$Ti${}_{2-x}$Zr${}_x$O${}_7$ single crystals
• Vortex Ordering and Dynamics on Santa Fe Artificial Ice Pinning Arrays
• Topological Aspects of Antiferromagnets
• Universal dynamics of magnetic monopoles in two-dimensional kagomé ice
• Degenerate magnetic ground state and metastable state on trihexagonal Co-sublattices in Co3Sn2(S,Se)2 single crystals
• Spin and quadrupole correlations by three-spin interaction in the frustrated pyrochlore magnet Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Gauge-Free Duality in Pure Square Spin Ice: Topological Currents and Monopoles
• Thermal Conductivity of Square Ice
• Nature of ferroelectric transitions in spin ice Ho2Ti2O7 and Dy2Ti2O7
• Highly anisotropic geometrical Hall effect via f-d exchange fields in doped pyrochlore molybdates
• Coulombic antiferromagnet in spin-1/2 pyrochlores with dipole-octupole doublets
• Crystalline phases and devil's staircase in qubit spin ice
• Stochastic parameter optimization analysis of dynamical quantum critical phenomena in long-range transverse-field Ising chain
• Crossover from string to cluster dynamics following a field quench in spin ice
• Anomalous Proximitized Transport in Metal/Quantum Magnet Heterostructure $\mathrm{B}{\mathrm{i}}_2\mathrm{I}{\mathrm{r}}_2{\mathrm{O}}_7/Y{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Probing ice-rule-breaking transition in $\mathrm{D}{\mathrm{y}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$ thin film by proximitized transport and magnetic torque
• First-principles design of the spinel iridate Ir2O4 for high-temperature quantum spin ice
• Critical properties of a 2D frustrated magnet with non-magnetic impurities
• Room temperature spin-ice physics in cadmium cyanide
• Boundary correlations for the six-vertex model with reflecting end boundary condition
• Quantum Spin Liquids in Pyrochlore Magnets With Non-Kramers Local Moments
• The dipolar spin glass transition in three dimensions
• Arctic curve of the free-fermion six-vertex model with reflecting end boundary condition
• A primer on Kitaev Model: Basic aspects, material realization, and recent experiments
• Low frequency spin dynamics in XY quantum spin ice Yb${}_2$Pt${}_2$O${}_7$
• Ferromagnetic Order of Reduced Magnetic Moments in a Frustrated Sawtooth Chain of the Magnetic Semiconductor ZnYb${}_2$S${}_4$
• Field-induced magnetic order in DyTa${}_7$O${}_{19}$ with two-dimensional pseudospin-$\frac{1}{2}$ triangular lattice
• Long-range Coulomb interactions and nonhydrodynamic behavior in thermal quenches in spin ice
• Ferromagnetic fragmented state in the pyrochlore Ho${}_2$Ru${}_2$O${}_7$
• Ising Supercriticality and Universal Magnetocalorics in Spiral Antiferromagnet Nd${}_3$BWO${}_9$
• Mean-field theory for confinement transitions and magnetization plateaux in spin ice
• Influence of controlled disorder on the dipolar spin ice state of Ho-based pyrochlores
• Defect Positioning in Combinatorial Metamaterials
• Spin-ice behavior of three-dimensional inverse opal-like magnetic structures: micromagnetic simulations
• Nonequilibrium generation of charge defects in kagome spin ice under slow cooling
• Quantum entanglement of XY-type spin dimers in Shastry-Sutherland lattice
• Low-temperature high-frequency dynamic magnetic susceptibility of classical spin-ice Dy${}_2$Ti${}_2$O${}_7$
• Nontrivial Ground State Degeneracy of the Spin-Pseudospin Model of a Two-Dimensional Magnet Near the Frustration Point
• The Magnetic Ground State of Atacamite Cu${}_2$Cl(OH)${}_3$: The Crucial Role of Frustrated Zigzag Chains Revealed by Inelastic Neutron Scattering
• Deconfinement of electric charges in hydrogen-bonded ferroelectrics
• Small-Network Approximations for Geometrically Frustrated Ising Systems
• Thin films of the spin ice compound Ho2Ti2O7
• Long-Range Order and Quantum Criticality in Antiferromagnetic Chains with Long-Range Staggered Interactions
• Superdislocations and point defects in pyrochlore Yb2Ti2O7 single crystals and implication on magnetic ground states
• Anisotropic Spin Ice on a Breathing Pyrochlore Lattice
• Magnetic and thermodynamic studies on the distorted kagome magnet Pr${}_3$BWO${}_9$
• Enhanced-Entropy Phases in Geometrically Frustrated Pyrochlore Magnets
• Programmable order by disorder effect and underlying phases through dipolar quantum simulators
• Disorder from disorder and confinement in the quantum Ising model in the pyrochlore lattice
• Dynamic scaling near the Kasteleyn transition in spin ice: critical relaxation of monopoles and strings following a field quench
• Spin liquid state in a three-dimensional pyrochlore-like frustrated magnet
• Phase-space networks and connectivity of the kagome antiferromagnet
• Successive Antiferromagnetic Transition in the Frustrated Compound CeMgIn
• Mechanism for lifting the degeneracy in the double-exchange spin ice model on a kagomé lattice: Dodecamer formation
• Excitation spectrum and low-temperature magnetism in disordered defect-fluorite Ho2Zr2O7
• An indirect geometry crystal time-of-flight spectrometer for FRM II
• Ice on curved surfaces: defect rings and differential local dynamics
• Classical spin liquids from frustrated Ising models in hyperbolic space
• Phase transitions and crtical exponents in the six-vertex model on kagome lattices
• Fractional Wannier Orbitals and Tight-Binding Gauge Fields for Kitaev Honeycomb Superlattices with Flat Majorana Bands
• Finite-Size Spectral Signatures of Order by Quantum Disorder: A Perspective from Anderson's Tower of States
• Field-induced spin-structural transition and giant magnetostriction in Ising chain $\alpha$-CoV${}_2$O${}_6$
• Constructing Emergent U(1) Symmetries in the Gamma-prime $\left({\mathbf{\Gamma }}^{\prime }\right)$ model
• Quantum Coulomb Liquids of Different Rank in the Breathing Pyrochlore Antiferromagnet
• Phase Transition and Monopoles Densities in a Nearest Neighbors Two-Dimensional Spin Ice Model