Magnetic Monopoles in Spin Ice

Abstract

Electrically charged particles, such as the electron, are ubiquitous. By contrast, no elementary particles with a net magnetic charge have ever been observed, despite intensive and prolonged searches. We pursue an alternative strategy, namely that of realising them not as elementary but rather as emergent particles, i.e., as manifestations of the correlations present in a strongly interacting many-body system. The most prominent examples of emergent quasiparticles are the ones with fractional electric charge e/3 in quantum Hall physics. Here we show that magnetic monopoles do emerge in a class of exotic magnets known collectively as spin ice: the dipole moment of the underlying electronic degrees of freedom fractionalises into monopoles. This enables us to account for a mysterious phase transition observed experimentally in spin ice in a magnetic field, which is a liquid-gas transition of the magnetic monopoles. These monopoles can also be detected by other means, e.g., in an experiment modelled after the celebrated Stanford magnetic monopole search.

(6 pages, 6 figures) v2: fig 3 replaced with colour version. For the high-definition version of the paper click http://www-thphys.physics.ox.ac.uk/user/ClaudioCastelnovo/Publications/papersub.pdf

References in corpus (3)

• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Theoretical and Experimental Status of Magnetic Monopoles
• Magnetization process of spin ice in a [111] magnetic field

Cited by in corpus (768)

• Magnetic Pyrochlore Oxides
• Seeing the magnetic monopole through the mirror of topological surface states
• Multiferroic materials and magnetoelectric physics: symmetry, entanglement, excitation, and topology
• Neutron tomography of magnetic Majorana fermions in a proximate quantum spin liquid
• Quantum magnonics: when magnon spintronics meets quantum information science
• Dirac Strings and Magnetic Monopoles in Spin Ice Dy2Ti2O7
• A Field Guide to Spin Liquids
• Artificial flat band systems: from lattice models to experiments
• Colloquium: Artificial spin ice: Designing and imaging magnetic frustration
• Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in Pyrochlore Magnets
• Combinatorial Design of Textured Mechanical Metamaterials
• Multiferroicity due to charge ordering
• Quantum Excitations in Quantum Spin Ice
• The "Coulomb phase" in frustrated systems
• Studying Two Dimensional Systems With the Density Matrix Renormalization Group
• Magnetic Charge Transport
• Spin Ice, Fractionalization and Topological Order
• Dynamics of a two-dimensional quantum spin liquid: signatures of emergent Majorana fermions and fluxes
• Signature of magnetic monopole and Dirac string dynamics in spin ice
• Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain
• Observation of Dirac Monopoles in a Synthetic Magnetic Field
• Exotic topological order in fractal spin liquids
• New type of stable particle like states in chiral magnets (Chiral bobbers)
• Seeing the light : experimental signatures of emergent electromagnetism in a quantum spin ice
• Magnetic multipole analysis of kagome and artificial ice dipolar arrays
• Thermal fractionalization of quantum spins in a Kitaev model: $T$-linear specific heat and coherent transport of Majorana fermions
• Orbital effects in solids: basics, recent progress and opportunities
• Extensive degeneracy, Coulomb phase and magnetic monopoles in an artificial realization of the square ice model
• Continuous Symmetry Breaking in a Two-dimensional Rydberg Array
• Two-stage ordering of spins in a dipolar spin ice on the kagome lattice
• Higgs transition from a magnetic Coulomb liquid to a ferromagnet in Yb_2Ti_2O_7
• Quantum Ice : a quantum Monte Carlo study
• Fractional magnetization plateaus and magnetic order in the Shastry Sutherland magnet TmB4
• Magnetic monopole field exposed by electrons
• Quantum fluctuations in the effective pseudospin-1/2 model for magnetic pyrochlore oxides
• Magnetic-Moment Fragmentation and Monopole Crystallization
• Possible valence-bond condensation in the frustrated cluster magnet LiZn2Mo3O8
• Observation of Magnetic Monopoles in Spin Ice
• Classification of gapless Z2 spin liquids in three-dimensional Kitaev models
• Rewritable Artificial Magnetic Charge Ice
• Observation of two types of anyons in the Kitaev honeycomb magnet
• A.C. susceptibility as a probe of low-frequency magnetic dynamics
• The macroscopic monopolization in diagonal magnetoelectrics
• Fragmentation of magnetism in artificial kagome dipolar spin ice
• Effective Temperature in an Interacting, Externally Driven, Vertex System: Theory and Experiment on Artificial Spin Ice
• Quantum Spin Ice and dimer models with Rydberg atoms
• Unhappy Vertices in Artificial Spin Ice: Degeneracy from Vertex-Frustration
• Melting artificial spin ice
• Witten effect in a crystalline topological insulator
• Is the Yb2Ti2O7 pyrochlore a quantum spin ice?
• Frustration and quantum criticality
• Emerging 2D Gauge theories in Rydberg configurable arrays
• Magnetic monopole and string excitations in a two-dimensional spin ice
• Realization of the kagome spin ice state in a frustrated intermetallic compound
• Investigation of the magnetic structure and crystal field states of pyrochlore antiferromagnet Nd2Zr2O7
• Creating Artificial Ice States Using Vortices in Nanostructured Superconductors
• Twist of generalized skyrmions and spin vortices in a polariton superfluid
• Non-collinearity and spin frustration in the itinerant kagome ferromagnet Fe3Sn2
• Creation of Dirac monopoles in spinor Bose-Einstein condensates
• Magnetic Monopole Dynamics in Spin Ice
• Magnetoelastic excitations in the pyrochlore spin liquid Tb${}_2$Ti${}_2$O${}_7$
• Frustrated two dimensional quantum magnets
• Weyl spin liquids
• Lattice Gauge Tensor Networks
• Antiferromagnetic magnons as highly squeezed Fock states underlying quantum correlations
• Engineering of frustration in colloidal artificial ices realized on microfeatured grooved lattices
• Dynamics of reconfigurable artificial spin ice: towards magnonic functional materials
• Debye-Hückel theory for spin ice at low temperature
• Vacancy defects and monopole dynamics in oxygen-deficient pyrochlores
• Microscopic Description of Electric and Magnetic Toroidal Multipoles in Hybrid Orbitals
• Dynamics of magnetic charges in artificial spin ice
• Realization of Artificial Ice Systems for Magnetic Vortices in a Superconducting MoGe Thin-film with Patterned Nanostructures
• Experimental signatures of emergent quantum electrodynamics in Pr${}_2$Hf${}_2$O${}_7$
• Electric dipoles on magnetic monopoles in spin ice
• Spin Waves and Quantum Criticality in the Frustrated XY Pyrochlore Antiferromagnet Er2Ti2O7
• Conditions for free magnetic monopoles in nanoscale square arrays of dipolar spin ice
• Z_2-vortex lattice in the ground state of the triangular Kitaev-Heisenberg model
• A Quantum Dipolar Spin Liquid
• Detecting Topological Order at Finite Temperature Using Entanglement Negativity
• Revisiting Static and Dynamic Spin Ice Correlations in Ho2Ti2O7
• Tenth-order high-temperature expansion for the susceptibility and the specific heat of spin-s Heisenberg models with arbitrary exchange patterns: Application to pyrochlore and kagome magnets
• First-principles theory of magnetic multipoles in condensed matter systems
• Thermal quenches in spin ice
• Emergent Order in the Kagome Ising Magnet Dy3Mg2Sb3O14
• Magnetic monopoles revisited: Models and searches at colliders and in the Cosmos
• Experimental Insights into Ground State Selection of Quantum XY Pyrochlores
• Revealing tensor monopoles through quantum-metric measurements
• Onsager's Wien Effect on a Lattice
• Numerical evidence of quantum melting of spin ice: quantum-classical crossover
• Ice Rule and Emergent Frustration in Particle Ice and Beyond
• Machine Learning Assisted Insight to Spin Ice Dy${}_2$Ti${}_2$O${}_7$
• Two-dimensional spin liquid behaviour in the triangular-honeycomb antiferromagnet TbInO${}_3$
• Geometric frustration in compositionally modulated ferroelectrics
• Spin Dynamics at Very Low Temperature in Spin Ice Dy${}_2$Ti${}_2$O${}_7$
• Ferromagnetism and Wigner crystallization in Kagome graphene and related structures
• Reducing Disorder in Artificial Kagome Ice
• How quantum are classical spin ices?
• Magnetic Charge Propagation upon a 3D Artificial Spin-ice
• Neutron Spectroscopic Study of Crystalline Electric Field Excitations in Stochiometric and Lightly Stuffed Yb2Ti2O7
• Perpendicular Magnetization and Generic Realization of the Ising Model in Artificial Spin Ice
• Status of Searches for Magnetic Monopoles
• Critical behavior of quantum magnets with long-range interactions in the thermodynamic limit
• Topological defects produce exotic mechanics in complex metamaterials
• An anisotropic local modification of crystal field levels in Pr-based pyrochlores: a muon-induced effect modelled using density functional theory
• Eighth-order high-temperature expansion for general Heisenberg Hamiltonians
• Noninteger-spin magnonic excitations in untextured magnets
• Brownian Motion and Quantum Dynamics of Magnetic Monopoles in Spin Ice
• Observation of long range magnetic ordering in pyrohafnate Nd2Hf2O7: A neutron diffraction study
• Controllable chirality-induced geometrical Hall effect in a frustrated highly-correlated metal
• A spin liquid with pinch-line singularities on the pyrochlore lattice
• Thermal conductivity of quantum magnetic monopoles in the frustrated pyrochlore Yb2Ti2O7
• A Measure of Monopole Inertia in the Quantum Spin Ice Yb${}_2$Ti${}_2$O${}_7$
• Magnetic Monopole Noise
• Dynamics and energetics of emergent magnetic monopoles in chiral magnets
• Time-reversal symmetric U(1) quantum spin liquids
• Emergent spin-valley-orbital physics by spontaneous parity breaking
• Candidate quantum spin ice in the pyrochlore Pr${}_2$Hf${}_2$O${}_7$
• Spin Ice: Magnetic Excitations without Monopole Signatures using Muon Spin Rotation
• Fractionally charged topological point defects on the kagome lattice
• Unconventional Magnetic Ground State in Yb${}_2$Ti${}_2$O${}_7$
• Roton minimum as fingerprint of magnon-Higgs scattering in ordered quantum antiferromagnets
• Spacetime algebra as a powerful tool for electromagnetism
• Unconventional magnetization processes and thermal runaway in spin-ice Dy${}_2$Ti${}_2$O${}_7$
• Dynamics of the Magnetic Susceptibility Deep in the Coulomb Phase of the Dipolar Spin Ice Material Ho2Ti2O7
• Crystal field parameters of the rare earth pyrochlores $R_2$Ti${}_2$O${}_7$ ($R$ = Tb, Dy, Ho)
• Crystal field states in a Quantum Spin Ice]{Crystal field states of Pr${}^{3+}$ in the candidate quantum spin ice Pr${}_2$Sn${}_2$O${}_7$
• Antiferro-quadrupolar correlations in the quantum spin ice candidate Pr2Zr2O7
• Reconfigurable magnonic mode-hybridisation and spectral control in a bicomponent artificial spin ice
• Numerical treatment of spin systems with unrestricted spin length $S$: A functional renormalization group study
• Carbon Kagome lattice and orbital frustration-induced metal-insulator transition for optoelectronics
• Bosonic Many-body Theory of Quantum Spin Ice
• The quantum origins of moment fragmentation in Nd2Zr2O7
• Magnetic monopole condensation in pyrochlore ice quantum spin liquid: application to Pr2Ir2O7 and Yb2Ti2O7
• Magnetization Dynamics of Topological Defects and the Spin Solid in Kagome Artificial Spin Ice
• Refrustration and competing orders in the prototypical Dy2Ti2O7 spin ice material
• Empirical Magnetic Structure of Frustrated Spin Systems
• Low Energy Electrodynamics of Novel Spin Excitations in the Quantum Spin Ice Yb${}_2$Ti${}_2$O${}_7$
• Qubit spin ice
• Analysis of a fully packed loop model arising in a magnetic Coulomb phase
• Far from equilibrium monopole dynamics in spin ice
• FePd${}_3$ as a material for thermally active artificial spin ice
• Macroscopic magnetic frustration
• Magnetic charge and ordering in kagome spin ice
• Digital Quantum Simulation of the Statistical Mechanics of a Frustrated Magnet
• Thermodynamic properties of the Yb2Ti2O7 pyrochlore as a function of temperature and magnetic field: validation of a quantum spin ice exchange Hamiltonian
• Anisotropic hysteretic Hall-effect and magnetic control of chiral domains in the chiral spin states of Pr${}_2$Ir${}_2$O${}_7$
• Thermal phase transitions in Artificial Spin-Ice
• Degeneracy and criticality from emergent frustration in artificial spin ice
• Thermal Hall effects in quantum magnets
• Competing magnetic orders and spin liquids in two- and three-dimensional kagome systems: A pseudo-fermion functional renormalization group perspective
• Spin wave spectrum of the quantum ferromagnet on the pyrochlore lattice Lu2V2O7
• Quadrupole Order in the Frustrated Pyrochlore Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Direct Visualization of Memory Effects in Artificial Spin Ice
• Quantum criticality of two-dimensional quantum magnets with long-range interactions
• Quantum strings in quantum spin ice
• Local magnetism and spin correlations in the geometrically frustrated cluster magnet LiZn${}_2$Mo${}_3$O${}_8$
• Experimental signatures of quantum and topological states in frustrated magnetism
• Thermodynamics of elementary excitations in artificial magnetic square ice
• Dynamics of artificial spin ice: continuous honeycomb network
• Magnetoelastics of a spin liquid: X-ray diffraction studies of Tb2Ti2O7 in pulsed magnetic fields
• Quantum-critical properties of the long-range transverse-field Ising model from quantum Monte Carlo simulations
• Physical properties of a candidate quantum spin-ice system Pr2Hf2O7
• Spin-state ice in geometrically frustrated spin-crossover materials
• Emergent Elasticity in Amorphous Solids
• From confinement to deconfinement of magnetic monopoles in artificial rectangular spin ices
• Monopole Flux State on the Pyrochlore Lattice
• Spontaneous symmetry breakings in two-dimensional kagome lattice
• Kinetically Inhibited Order in a Diamond-Lattice Antiferromagnet
• Quantum spin ice with frustrated transverse exchange: from pi-flux phase to nematic quantum spin liquid
• Observing Monopoles in a Magnetic Analog of Ice
• Vogel-Fulcher-Tammann Freezing of a Thermally Fluctuating Artificial Spin Ice Probed by X-ray Photon Correlation Spectroscopy
• Characterization of quantum spin liquids and their spinon band structures via functional renormalization
• Chiral nature of magnetic monopoles in artificial spin ice
• Emergence of non-abelian magnetic monopoles in a quantum impurity problem
• Curvilinear one-dimensional antiferromagnets
• Spin Excitation Spectra of Anisotropic Spin-$1/2$ Triangular Lattice Heisenberg Antiferromagnets
• Topological Sector Fluctuations and Curie Law Crossover in Spin Ice
• Realizing three-dimensional artificial spin ice by stacking planar nanoarrays
• Peculiar long-range superexchange in Cu2A2O7 (A = P, As, V) as a key element of the microscopic magnetic model
• Single-ion anisotropy and magnetic field response in spin ice materials Ho${}_2$Ti${}_2$O${}_7$ and Dy${}_2$Ti${}_2$O${}_7$
• Hysteresis and Return Point Memory in Artificial Spin Ice Systems
• Skyrmion Spin Ice in Liquid Crystals
• New physics in frustrated magnets: Spin ices, monopoles, etc
• Pauling entropy, metastability and equilibrium in Dy${}_2$Ti${}_2$O${}_7$ spin ice
• Bold Diagrammatic Monte Carlo technique for frustrated spin systems
• Coupled frustrated quantum spin-1/2 chains with orbital order in volborthite Cu3V2O7(OH)2(H2O)2
• Dirac's "magnetic monopole" in pyrochlore ice U(1) spin liquids: Spectrum and classification
• Majorana dynamical mean-field study of spin dynamics at finite temperatures in the honeycomb Kitaev model
• Ground-state selection and spin-liquid behaviour in the classical Heisenberg model on the breathing pyrochlore lattice
• Charge ordering in a pure spin model: dipolar spin-ice
• Fractional topological phases in three-dimensional coupled-wire systems
• A Supercooled Spin Liquid State in the Frustrated Pyrochlore Dy2Ti2O7
• Phase Diagram and Conformal String Excitations of Square Ice using Gauge Invariant Matrix Product States
• Superferromagnetism and domain-wall topologies in artificial 'pinwheel' spin ice
• Vibrating-coil magnetometry of the spin liquid properties of Tb2Ti2O7
• First principles calculation and experimental investigation of lattice dynamics in the rare earth pyrochlores R2Ti2O7 (R=Tb, Dy, Ho)
• Emergent Geometric Frustration of Artificial Magnetic Skyrmion Crystals
• Electronic Transport on the Shastry-Sutherland Lattice in Ising-type Rare Earth Tetraborides
• Classical dipoles on the kagome lattice
• Line of Dirac monopoles embedded in a Bose-Einstein condensate
• Extending spin ice concepts to another geometry: the artificial triangular spin ice
• Fragmentation in Frustrated Magnets -- A review
• Hexagonal Plaquette Spin-spin Interactions and Quantum Magnetism in a Two-dimensional Ion Crystal
• Statics and dynamics of the highly correlated spin ice Ho2Ge2O7
• Highly-anisotropic exchange interactions of $j_{\mathrm{eff}}=1/2$ iridium moments on the fcc lattice in La${}_{2}B$IrO${}_6$ ($B$ $=$ Mg, Zn)
• Magnetic ghosts and monopoles
• LiYbSe2: Frustrated Magnetism in a New Pyrochlore Lattice
• Dynamical fractal and anomalous noise in a clean magnetic crystal
• Monopoles, magnetricity and the stray field from spin ice
• Intermediate magnetisation state and competing orders in Dy${}_2$Ti${}_2$O${}_7$ and Ho${}_2$Ti${}_2$O${}_7$
• Experimental signature of the attractive Coulomb force between positive and negative magnetic monopoles in spin ice
• Classical spiral spin liquids as a possible route to quantum spin liquids
• Instabilities of a U(1) quantum spin liquid in disordered non-Kramers pyrochlores
• Pyrochlore U(1) spin liquid of mixed symmetry enrichments in magnetic fields
• Tuning universality far from equilibrium
• Exact renormalization group for quantum spin systems
• Nambu monopoles interacting with lattice defects in two-dimensional artificial square spin ice
• Dimerization tendencies of the pyrochlore Heisenberg antiferromagnet: A functional renormalization group perspective
• Defect Dynamics in Artificial Colloidal Ice: Real-Time Observation, Manipulation and Logic Gate
• Ground-State Candidate for the Dipolar Kagome Ising Antiferromagnet
• When opposites repel: from metastability to extended chiral spin textures in spin ice with short-range topological-defect interactions
• Ice Rule Fragility via Topological Charge Transfer in Artificial Colloidal Ice
• Correlated Quantum Tunnelling of Monopoles in Spin Ice
• Corrections to Pauling residual entropy and single tetrahedron based approximations for the pyrochlore lattice Ising antiferromagnet
• A quantum liquid with deconfined fractional excitations in three dimensions
• Magnetic clustering, half-moons, and shadow pinch points as signals of a proximate Coulomb phase in frustrated Heisenberg magnets
• Emergent Electrochemistry in Spin Ice: Debye-Hückel Theory and Beyond
• Quantum criticality and excitations of a long-range anisotropic $XY$-chain in a transverse field
• Quantum magnetoelectric effect in molecular crystal Dy${}_3$
• Tunable non-equilibrium dynamics: field quenches in spin ice
• Coulomb phase diagnostics as function of temperature, interaction range and disorder
• Encoding Complexity within Supramolecular Analogues of Frustrated Magnets
• 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
• Classical-Quantum Mappings for Geometrically Frustrated Systems: Spin Ice in a [100] Field
• Classical Spin Spirals in Frustrated Magnets from Free-Fermion Band Topology
• First order metamagnetic transition in Ho2Ti2O7 observed by vibrating coil magnetometry at milli-Kelvin temperatures
• Quantum versus Classical Spin Fragmentation in Dipolar Kagome Ice Ho3Mg2Sb3O14
• Classical and quantum theories of proton disorder in hexagonal water ice
• Crystal Shape-Dependent Magnetic Susceptibility and Curie Law Crossover in the Spin Ices Dy2Ti2O7 and Ho2Ti2O7
• Quantum Anomalous Hall Effect in Kagome Ice
• Spin dynamics in the ordered spin ice Tb${}_2$Sn${}_2$O${}_7$
• Spin ice on the trillium lattice studied by Monte Carlo calculations
• Evidence for unidimensional low-energy excitations as the origin of persistent spin dynamics in geometrically frustrated magnets
• Formation of a Topological Monopole Lattice and its Dynamics in Three-dimensional Chiral Magnets
• Low-temperature properties of single-crystal CrB${}_2$
• Quantum criticality of the transverse-field Ising model with long-range interactions on triangular-lattice cylinders
• A novel type of splayed ferromagnetic order observed in Yb2Ti2O7
• Higgs transitions of spin ice
• Magnetic monopoles and unusual transport effects in magnetoelectrics
• Quantum dynamics of topological strings in a frustrated Ising antiferromagnet
• Magneto-elastic induced vibronic bound state in the spin ice pyrochlore Ho${}_2$Ti${}_2$O${}_7$
• Dynamics and hysteresis in square lattice artificial spin-ice
• Topological magnetic textures and long-range orders in Tb-based quasicrystal and approximant
• Competing phases and topological excitations of spin-one pyrochlore antiferromagnets
• Magnetic Monopoles in Field Theory and Cosmology
• Kitaev Quantum Spin Liquids
• Kagome chiral spin liquid as a gauged U(1) symmetry protected topological phase
• Vacancy-induced spin textures and their interactions in a classical spin liquid
• Fragmented monopole crystal, dimer entropy and Coulomb interactions in Dy${}_2$Ir${}_2$O${}_7$
• Clustering of Topological Charges in a Kagome Classical Spin Liquid
• Out of equilibrium dynamics in the bidimensional spin-ice model
• Quantum Electrodynamics in 2+1 Dimensions as the Organizing Principle of a Triangular Lattice Antiferromagnet
• Generalized Higgs mechanism in long-range interacting quantum systems
• Spin Ice Thin Film: Surface Ordering, Partial Magnetic Wetting and Emergent Square Ice
• Classical Topological Order in Kagome Ice
• Dynamics of Dirac strings and monopole-like excitations in chiral magnets under a current drive
• Frustrated pentagonal Cairo lattice in the non-collinear antiferromagnet Bi4Fe5O13F
• Proposal for the Detection of Magnetic Monopoles in Spin Ice via Nanoscale Magnetometry
• Dynamic quantum kagome ice
• Multiferroicity in spin ice: towards a magnetic crystallography of Tb2Ti2O7 in a field
• Spin dynamics of the ordered dipolar-octupolar pseudospin-${}^1{/}_2$ pyrochlore Nd${}_2$Zr${}_2$O${}_7$ probed by muon spin relaxation
• Signature of a randomness-driven spin-liquid state in a frustrated magnet
• Electric Charges and Magnetic Monopoles in Gravity's Rainbow
• Local-Ising type magnetic order and metamagnetism in the rare-earth pyrogermanate Er${}_2$Ge${}_2$O${}_7$
• Dirac monopoles with polar-core vortex induced by spin-orbit coupling in spinor Bose-Einstein condensates
• Magnetic correlations in spin ice Ho2-xYxTi2O7 as revealed by neutron polarization analysis
• Thermally and field-driven mobility of emergent magnetic charges in square artificial spin ice
• Monopole density and antiferromagnetic domain control in spin-ice iridates
• AC Wien effect in spin ice, manifest in non-linear non-equilibrium susceptibility
• Titanium pyrochlore magnets: how much can be learned from magnetization measurements?
• Critical speeding-up near the monopole liquid-gas transition in magnetoelectric spin-ice
• Dirac quantisation condition: a comprehensive review
• Spin liquid and quantum phase transition without symmetry breaking in a frustrated three-dimensional Ising model
• Angular Dependent Magnetization Dynamics of Kagome Artificial Spin Ice Incorporating Topological Defects
• Absence of long range order in the frustrated magnet SrDy${}_2$O${}_4$ due to trapped defects from a dimensionality crossover
• Dimensionality and irreversibility of field-induced transitions in SrDy2O4
• Realization of Rectangular Artificial Spin Ice and Direct Observation of High Energy Topology
• Stability of skyrmions on curved surfaces in the presence of a magnetic field
• Scaling at quantum phase transitions above the upper critical dimension
• Fractionalized charge excitations in a spin liquid on partially-filled pyrochlore lattice
• Anomalous magnetic noise in imperfect flat bands in the topological magnet Dy2Ti2O7
• Field evolution of the magnetic structures in Er${}_2$Ti${}_2$O${}_7$ through the critical point
• Coulomb liquid phases of bosonic cluster Mott insulators on a pyrochlore lattice
• Photonic torons, topological phase transition and tunable spin monopoles
• Melting of Spin Ice state through structural disorder in Dy2Zr2O7
• Investigations of the effect of nonmagnetic Ca substitution for magnetic Dy on spin-freezing in Dy2Ti2O7
• Field-tuned order by disorder in Ising frustrated magnets with antiferromagnetic interactions
• Irrational charge from topological order
• Complex Spin Hamiltonian Represented by Artificial Neural Network
• Interplay of charge and spin fluctuations of strongly interacting electrons on the kagome lattice
• Monopole ordered phases in dipolar and nearest-neighbours Ising pyrochlore: from spin ice to the "all-in--all-out" antiferromagnet
• Topological spin transport by Brownian diffusion of domain walls
• Kagome qubit ice
• Investigation of the magnetic fluctuations in Tb${}_2$Sn${}_2$O${}_7$ ordered spin ice by high resolution energy-resolved neutron scattering
• Electronic transport in the Coulomb phase of the pyrochlore spin ice
• Quantum spin ice under a [111] magnetic field: from pyrochlore to kagomé
• Magnetic monopoles with internal structure
• Ultrasonic investigations of spin-ices Dy${}_2$Ti${}_2$O${}_7$ and Ho${}_2$Ti${}_2$O${}_7$ in and out of equilibrium
• Muon spin relaxation and inelastic neutron scattering investigations of all-in/all-out antiferromagnet Nd2Hf2O7
• Quantum Hall ice
• Chiral edge states and fractional charge separation in interacting bosons on a Kagome lattice
• Ultra-high vacuum compatible preparation chain for intermetallic compounds
• Dynamics of Nambu monopole in two Higgs doublet models -- Cosmological Monopole Collider --
• Helical scattering signatures of strain and electronic textures in YbFe2O4 from three-dimensional reciprocal space imaging
• Discovery of Emergent Photon and Monopoles in a Quantum Spin Liquid
• A field trip through spin ice
• Spin dynamics and unconventional Coulomb phase in Nd${}_2$Zr${}_2$O${}_7$
• Dumping Topological Charges on Neighbors: Ice Manifolds for Colloids and Vortices
• Time-reversal-like degeneracies distinguished by the anomalous Hall effect in a metallic kagome ice compound
• Magnetic anisotropy of elongated thin ferromagnetic nano-islands for artifical spin ice arrays
• Classical Dimers on Penrose Tilings
• Composite spin and quadrupole wave in the ordered phase of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Generalised Longitudinal Susceptibility for Magnetic Monopoles in Spin Ice
• Spin-wave analysis of the transverse-field Ising model on the checkerboard lattice
• Special temperatures in frustrated ferromagnets
• Unexpected Phenomenology in Particle-Based Ice Absent in Magnetic Spin Ice
• Approximate higher-form symmetries, topological defects, and dynamical phase transitions
• Dynamic susceptibility and dynamic correlations in spin ice
• Identification of hidden order and emergent constraints in frustrated magnets using tensorial kernel methods
• Monopole holes in a partially ordered spin liquid
• Exploring the phases of 3D artificial spin ice: From Coulomb phase to magnetic monopole crystal
• Proposal to recover an extensive ground state degeneracy in a two-dimensional square array of nanomagnets
• Partial lifting of degeneracy in the $J_1-J_2-J_3$ Ising antiferromagnet on the kagome lattice
• Evolution of antiferromagnetic domains in the all-in-all-out ordered pyrochlore Nd${}_2$Zr${}_2$O${}_7$
• High temperature spin-freezing transition in Pyrochlore Eu2Ti2O7: A new observation from ac-susceptibility
• Macroscopic Degeneracy and Emergent Frustration in a Honeycomb Lattice Magnet
• Artificial spin ice and vertex models
• 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
• Field-Induced Magnetic Monopole Plasma in Artificial Spin Ice
• Spin-1 Topological Monopoles in Parameter Space of Ultracold Atoms
• Spin correlations in the extended kagome system YBaCo3FeO7
• Phonon-mediated spin-flipping mechanism in the spin ices Dy${}_2$Ti${}_2$O${}_7$ and Ho${}_2$Ti${}_2$O${}_7$
• Magnetism in the two-dimensional dipolar XY model
• Quantum Spin Liquid State in the Disordered Triangular Lattice Sc2Ga2CuO7
• Spinon walk in quantum spin ice
• Hydrogenic states of monopoles in diluted quantum spin ice
• Acoustic signatures of the phases and phase transitions in Yb${}_2$Ti${}_2$O${}_7$
• Policy Guided Monte Carlo: Reinforcement Learning Markov Chain Dynamics
• Direct visualization of vortex ice in a nanostructured superconductor
• Mesoscopic correlations in Tb2Ti2O7 spin liquid
• Defects dynamics following thermal quenches in square spin-ice
• Monopolar and dipolar relaxation in spin ice Ho${}_2$Ti${}_2$O${}_7$
• Double-layered monopolar order in Tb2Ti2O7 spin liquid
• Search for the magnetic monopole at a magnetoelectric surface
• Evidence for a dynamical ground state in a frustrated pyrohafnate Tb2Hf2O7
• Spectrum of itinerant fractional excitations in quantum spin ice
• Dynamic behavior of magnetic avalanches in the spin-ice compound Dy${}_2$Ti${}_2$O${}_7$
• Topological Nambu monopole in two Higgs doublet models
• Fractonic plaquette-dimer liquid beyond renormalization
• Common Glass-Forming Spin-Liquid State in the Pyrochlore Magnets Dy${}_2$Ti${}_2$O${}_7$ and Ho${}_2$Ti${}_2$O${}_7$
• Magnetic monopole polarons in spin ice with mixed coordination numbers
• Emergent moments and random singlet physics in a Majorana spin liquid
• Low-temperature thermal conductivity of Dy_2Ti_2O_7 and Yb_2Ti_2O_7 single crystals
• Single crystal growth, structure and magnetic properties of Pr2Hf2O7 pyrochlore
• Theory of magnetotransport in artificial kagome spin ice
• Spectral-fingerprinting: Microstate readout via remanence ferromagnetic resonance in artificial spin systems
• Emergent Potts Order in a Coupled Hexatic-Nematic XY model
• Quenched Dynamics of Artificial Spin Ice: Coarsening versus Kibble-Zurek
• Absence of Finite Temperature Phase Transitions in the X-Cube Model and its ${\mathbb{Z}}_p$ Generalization
• Supercooling and fragile glassiness in a dipolar kagome Ising magnet
• Dipolar spin ice states with fast monopole hopping rate in CdEr${}_2$X${}_4$ (X = Se, S)
• Emergent Coulombic criticality and Kibble-Zurek scaling in a topological magnet
• AC Susceptibility of the Dipolar Spin Ice Dy2Ti2O7: Experiments and Monte Carlo Simulations
• 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${}_7$
• Intrinsic and extrinsic nonstationary field-driven processes in the spin-ice compound Dy2Ti2O7
• The emergence of gauge invariance: the stay-at-home gauge versus local-global duality
• High temperature onset of field-induced transitions in the spin-ice compound Dy2Ti2O7
• 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
• Field-Induced magnetic structures in Tb2Ti2O7 at low temperatures: From spin-ice to spin-flip structures
• String Phase in an Artificial Spin Ice
• Spin ice thin films: Large-N theory and Monte Carlo simulations
• Spiral-spin-liquid behaviors and persistent reciprocal kagomé structure in frustrated van der Waals magnets and beyond
• The multiple symmetry sustaining phase transitions of spin ice
• Tension-free Dirac strings and steered magnetic charges in 3D artificial spin ice
• Suppression of Pauling's Residual Entropy in Dilute Spin Ice (Dy${}_{1-x}$Y${}_x$)${}_2$Ti${}_2$O${}_7$
• Evidence for the Confinement of Magnetic Monopoles in Quantum Spin Ice
• Magnetic dilution and domain selection in the XY pyrochlore antiferromagnet Er${}_2$Ti${}_2$O${}_7$
• Neutron Larmor diffraction investigation of the rare earth pyrochlores $R_2$Ti${}_2$O${}_7$ ($R$ = Tb, Dy, Ho)
• Effective decoupling of ferromagnetic sublattices by frustration in Heusler alloys
• Anisotropic Quantum Spin Hall Effect, Spin-Orbital Textures and Mott Transition
• On the conservation of helicity in a chiral medium
• Collinear order and chirality-reorientation transition in the Cairo pentagonal magnet Bi${}_4$Fe${}_5$O${}_{13}$F
• Microscopic Aspects of Magnetic Lattice Demagnetizing Factors
• Competing quantum spin liquids, gauge fluctuations, and anisotropic interactions in a breathing pyrochlore lattice
• Fingerprints of quantum spin ice in Raman scattering
• Higher-form Symmetries under Weak Measurement
• Time-reversal switching responses in antiferromagnets
• Strong quantum fluctuations due to competition between magnetic phases in a pyrochlore iridate
• Monte Carlo based techniques for quantum magnets with long-range interactions
• Topological magnetic textures in magnetic topological insulators
• Extended Coulomb liquid of paired hardcore boson model on a pyrochlore lattice
• Dipolar Spin Ice Under Uniaxial Pressure
• Frustration induced highly anisotropic magnetic patterns in classical $XY$ model on kagome lattice
• Vortex-crystal pattern in an anti-artificial spin ice system
• Featureless quantum paramagnet with frustrated criticality and competing spiral magnetism on spin-1 honeycomb lattice magnet
• Super-Necking Crystal Growth and Structural and Magnetic Properties of SrTb${}_2$O${}_4$ Single Crystals
• Experimental identification of electric dipoles induced by magnetic monopoles in Tb2Ti2O7
• Experimental observation of magnetoelectricity in spin ice Dy${}_2$Ti${}_2$O${}_7$
• Free coherent spinons in quantum square ice
• Electronic tunability of the frustrated triangular-lattice cluster magnet LiZn${}_{2-x}$Mo${}_3$O${}_8$
• Dynamic Control of Topological Defects in Artificial Colloidal Ice
• Hydrodynamics of three-dimensional skyrmions in frustrated magnets
• Coulombic Charge Ice
• Multiferroics and beyond: electric properties of different magnetic textures
• Static properties of 2D spin-ice as a sixteen-vertex model
• Flux Quantization Due to Monopole and Dipole Currents
• LiHoF${}_4$: Cuboidal Demagnetizing Factor in an Ising Ferromagnet
• Correlated disorder in a well relaxed model binary glass through a local SU(2) bonding topology
• Topological structure of Nambu monopole in Two Higgs doublet models -- Fiber bundle, Dirac's quantization and dyon --
• Anomalous Magnetoresistance by Breaking Ice Rule in Bi2Ir2O7/Dy2Ti2O7 Heterostructure
• Absence of moment fragmentation in the mixed $B$-site pyrochlore Nd${}_2$GaSbO${}_7$
• Dipolar ferromagnetism in three-dimensional superlattices of nanoparticles
• Electric field control of emergent electrodynamics in quantum spin ice
• Evidence for spin liquid ground state in SrDy${}_2$O${}_4$ frustrated magnet probed by muSR
• Semi-classical Approach to Quantum Spin Ice
• Maxwell electromagnetism as an emergent phenomenon in condensed matter
• Rod motifs in neutron scattering in spin ice
• Magnetic monopoles and superinsulation in Josephson junction arrays
• Heat transport of the spin-ice materials Ho${}_2$Ti${}_2$O${}_7$ and Dy${}_2$Ti${}_2$O${}_7$
• Confinement of monopoles and scaling theory near unconventional critical points
• Probing Flat Band Physics in Spin Ice Systems via Polarized Neutron Scattering
• Emergent order in the spin-frustrated system DyxTb2-xTi2O7 studied by ac susceptibility measurements
• Frustration on a centred pyrochlore lattice in metal-organic frameworks
• Experimental signatures of versatile Weyl semimetal in pyrochlore iridate with spin-ice like magnetic orders
• Fractionalization and Anomalies in Symmetry-Enriched U(1) Gauge Theories
• Magnetic Order with Fractionalized Excitations: Applications to ${\mathrm{Yb}}_2{\mathrm{Ti}}_2{\mathrm{O}}_7$
• Efficient demagnetization protocol for the artificial triangular spin ice
• Instability and topological robustness of Weyl semimetals against Coulomb interaction
• Temperature Dependent Magnetism in Artificial Honeycomb Lattice of Connected Elements
• Note on Generalized Symmetries, Gapless Excitations, Generalized Symmetry Protected Topological states, and Anomaly
• Charge and spin correlations in the Monopole Liquid
• The 3D Kasteleyn transition in dipolar spin ice: a numerical study with the Conserved Monopoles Algorithm
• On the relationship between topological and geometric defects
• Deviation from the dipole-ice model in the new spinel spin-ice candidate, MgEr${}_2$Se${}_4$
• Quenched crystal field disorder and magnetic liquid ground states in Tb2Sn2-xTixO7
• A Classical Chiral Spin-Liquid from Chiral Interactions on the Pyrochlore Lattice
• Low-energy effective theories of the two-thirds filled Hubbard model on the triangular necklace lattice
• Persistence of the flat band in a kagome magnet with dipolar interactions
• The Colored Noise of Magnetic Monopoles: Subdiffusion in a Coevolving Vacuum and Spin Ice Exponents
• Prethermal nematic order and staircase heating in a driven frustrated Ising magnet with dipolar interactions
• Spin Correlations in the Dipolar Pyrochlore Antiferromagnet Gd2Sn2O7
• Signatures of long range dipolar interactions in artificial square ice
• The Polarized Monopole Liquid: a Coulomb phase in a fluid of magnetic charges
• Riemann surface and quantization
• Fragmented spin ice and multi-$k$ ordering in rare-earth antiperovskites
• Magnetic-Field-Dependent Thermodynamic Properties of Square and Quadrupolar Artificial Spin Ice
• Field-rotational magnetocaloric effect: A new experimental technique for accurate measurement of the anisotropic magnetic entropy
• Modification of Spin Ice Physics in Ho${}_2$Ti${}_2$O${}_7$ Thin Films
• Epitaxial stabilization of (111)-oriented frustrated quantum pyrochlore thin films
• Continuum excitation and pseudospin wave in quantum spin-liquid and quadrupole ordered states of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Quantum half-orphans in kagome antiferromagnets
• Superconducting phase transition reveals an electromagnetic coupling to a scalar field potential that generates mechanical work
• The Kasteleyn transition in three dimensions: spin ice in a [100] field
• Tunable topological transitions in the frustrated magnet HoAgGe
• Compass and Kitaev models -- Theory and Physical Motivations
• Topologically protected superconducting ratchet effect generated by spin-ice nanomagnets
• Nuclear spin assisted quantum tunnelling of magnetic monopoles in spin ice
• Low-temperature muon spin rotation studies of the monopole charges and currents in Y doped Ho2Ti2O7
• Coulomb physics in spin ice, from magnetic monopoles to magnetic currents
• Magnetic monopoles and nonassociative deformations of quantum theory
• Stable and unstable trajectories in a dipolar chain
• Phase diagram of dipolar-coupled XY moments on disordered square lattices
• Magnetic order in Tb${}_2$Sn${}_2$O${}_7$ under high pressure: from ordered spin ice to spin liquid and antiferromagnetic order
• Crystal field excitations from $\mathrm{Y}{\mathrm{b}}^{3+}$ ions at defective sites in highly stuffed $\mathrm{Y}{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Magnetic properties and magnetic structure of the frustrated quasi-one-dimensional antiferromagnet SrCuTe${}_2$O${}_6$
• Prethermal time-crystalline spin ice and monopole confinement in a driven magnet
• Quantum skyrmion Hall effect
• Charge-Neutral Electronic Excitations in Quantum Insulators
• Anomalously slow spin dynamics and short-range correlations in the quantum spin ice systems Yb2Ti2O7 and Yb2Sn2O7
• Frustrated charge density wave and quasi-long-range bond-orientational order in the magnetic kagome FeGe
• Emergence of weak pyrochlore phase and signature of field induced spin ice ground state in Dy${}_{2-x}$La${}_x$Zr${}_2$O${}_7$; x = 0, 0.15, 0.3
• Structural magnetic glassiness in spin ice Dy${}_2$Ti${}_2$O${}_7$
• Universal monopole scaling near transitions from the Coulomb phase
• Phase diagram of J1-J2 transverse field Ising model on the checkerboard lattice: a plaquette-operator approach
• Half-Magnetization Plateau of a Dipolar Spin Ice in a [100] Field
• Optimization of single crystal growth of candidate quantum spin-ice Pr2Hf2O7 by optical floating-zone method
• Multiple Coulomb phases with temperature tunable ice rules in pyrochlore spin crossover materials
• Voltage Control of Magnetic Monopoles in Artificial Spin Ice
• Magnetic properties of a family of quinternary oxalates
• Spin correlations of quantum-spin-liquid and quadrupole-ordered states of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Asymmetric Ferromagnetic Criticality in Pyrochlore Ferromagnet Lu${}_2$V${}_2$O${}_7$
• Gauge Formulation for Two Potential Theory of Dyons
• Proton strings and rings in atypical nucleation of ferroelectricity in ice
• The $3d$-Electron Heisenberg Pyrochlore Mn${}_2$Sb${}_2$O${}_7$
• Tuning magnetic charge population and mobility in unidirectional array of nanomagnets as a function of lattice parameters
• Effects of uniaxial pressure on the spin ice Ho2Ti2O7
• Accessing low-energy magnetic microstates in symmetry-broken isolated square artificial spin ice vertices with magnetic field
• Creation of a Dirac monopole-antimonopole pair in a spin-1 Bose-Einstein condensate
• Violation of the fluctuation-dissipation theorem and effective temperatures in spin ice
• 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${}_7$
• Hierarchical excitations from correlated spin tetrahedra on the breathing pyrochlore lattice
• Influence of cutoff dipole interaction radius and dilution on phase transition in kagome artificial spin ice
• Supersymmetry on the lattice: Geometry, Topology, and Flat Bands
• Gauge Field and Confinement-Deconfinement Transition in Hydrogen-Bonded Ferroelectrics
• Dilution effects in Ho${}_{2-x}$Y${}_x$Sn${}_2$O${}_7$: from the Spin Ice to the single-ion magnet
• Phonon thermal Hall effect in non-magnetic Y${}_2$Ti${}_2$O${}_7$
• Magnetotransport of single crystal Sm${}_2$Ir${}_2$O${}_7$ across the pressure-induced quantum-critical phase boundary
• Interplay of dilution and magnetic field in the nearest-neighbor spin-ice model on the pyrochlore lattice
• Equilibrium Field Theory of Magnetic Monopoles in Degenerate Square Spin Ice: Correlations, Entropic Interactions, and Charge Screening Regimes
• Macroscopic Magnetic Monopoles in a 3D-Printed Mechano-Magnet
• Magnetization dynamics of weakly interacting sub-100 nm square artificial spin ices
• A pseudofermion functional renormalization group study of dipolar-octupolar pyrochlore magnets
• Field-Induced Ordering in Dipolar Spin Ice
• Quantization of Magnetic Poisson Structures
• Second-order phase transition in the Heisenberg model on a triangular lattice with competing interactions
• Low Energy Magneto-optics of Tb${}_2$Ti${}_2$O${}_7$ in [111] Magnetic Field
• Determination of the Entropy via Measurement of the Magnetization: Application to the Spin ice Dy2Ti2O7
• Emergent light crystal from frustration and pump engineering
• Magnetic Monopoles and Dark Matter
• Inertial effects in systems with magnetic charge
• An intermediate state between the kagome-ice and the fully polarized state in Dy${}_2$Ti${}_2$O${}_7$
• A cluster algorithm for Monte Carlo simulations of spin ice
• Magnetization beyond the Ising limit of Ho${}_2$Ti${}_2$O${}_7$
• Amorphous ferromagnetism and re-entrant magnetic glassiness in Sm${}_2$Mo${}_2$O${}_7$: new insights into the electronic phase diagram of pyrochlore molybdates
• Electrodynamics of dual superconducting chiral medium
• Predicted photoinduced pair annihilation of emergent magnetic charges in the organic salt $\alpha$-(BEDT-TTF)${}_2$I${}_3$ irradiated by linearly polarized light
• Thermal Transport Properties of Magnons on the $\alpha$-T${}_3$ Lattice
• Entropy in quantum chromodynamics
• Dynamical Signatures of Rank-2 $U(1)$ Spin Liquids
• Entropically-stabilised growth of a two-dimensional random tiling
• T-duality and the bulk-boundary correspondence
• Goldstone modes in the emergent gauge fields of a frustrated magnet
• Nematic quantum phases in the bilayer honeycomb antiferromagnet
• Mean-field phase diagram and spin glass phase of the dipolar Kagome Ising antiferromagnet
• Hybrid Dyons, inverted Lorentz force and magnetic Nernst effect in quantum spin ice
• Geometrically induced reversion of Hall current in a topological insulator cavity
• Kinetics of Spin Relaxation in Wires and Channels: Boundary Spin Echo and Tachyons
• On the micromagnetic behavior of dipolar-coupled nanomagnets in defective square artificial spin ice systems
• Two--center quantum MICZ--Kepler system and the Zeeman effect in the charge-dyon system
• Monomer-Dimer Mixture on a Honeycomb Lattice
• The Concept of Spin Ice Graphs and a Field Theory for their Topological Monopoles and Charges
• Synthesis of epitaxial magnetic pyrochlore heterojunctions
• Dichotomous Dynamics of Magnetic Monopole Fluids
• Emergent Gauge Fields in Band Insulators
• Spiral Spin Liquid Noise
• Extremely slow non-equilibrium monopole dynamics in classical spin ice
• When electric charge becomes also magnetic
• Bilayer artificial spin ice: magnetic force switching and basic thermodynamics
• Field-selective classical spin liquid and magnetization plateaus on kagome lattice
• Revisiting the missing He-McKellar-Wilkens geometric quantum phase
• Magnetic field and thermal Hall effect in a pyrochlore U(1) quantum spin liquid
• The effect of the size of the system, aspect ratio and impurities concentration on the dynamic of emergent magnetic monopoles in artificial spin ice systems
• Screening and the Pinch Point Paradox in Spin Ice
• Dynamics and thermodynamics of a pair of interacting magnetic dipoles
• Magnon Dispersion and Specific Heat of Chiral Magnets on the Pyrochlore Lattice
• Hunting Down Magnetic Monopoles in 2D Topological Insulators
• [111]-strained spin ice: Localization of thermodynamically deconfined monopoles
• Topological phases of dipolar particles in elongated Wannier orbitals
• Linear scaling relationship of Néel temperature and dominant magnons in pyrochlore ruthenates
• A simple model for calculating magnetic nanowire domain wall fringing fields
• Intermediate phase and pseudo phase transition in an artificial spin ice model
• A Synthetic Macroscopic Magnetic Unipole
• Tunable magnetic order in low-symmetry SeO${}_3$ ligand linked $T{M}_3$(SeO${}_3$)${}_3$H${}_2$O ($TM$ = Mn, Co and Ni) compounds
• Arch-based configurations in the volume ensemble of static granular systems
• Higher-Rank Spin Liquids and Spin Nematics from Competing Orders in Pyrochlore Magnets
• Robustness of entropy plateaus: A case study of triangular Ising antiferromagnets
• Massive spinons in $S=1/2$ spin chains: spinon-pair operator representation
• Possible spin frustration in Nd${}_2$Ti${}_2$O${}_7$ probed by muon spin relaxation
• Bimagnetic Monopoles
• Quantum order by disorder in a semiclassical spin ice
• The Magnetic Structure of $E{r}_{2}T{i}_2{O}_7$
• Oscillatory magnetic fields for neutron resonance spin-echo spectroscopy
• Novel way to construct spatially localized finite energy structures
• Electric activity at magnetic moment fragmentation in spin ice
• Magnetization process and ordering of the $S=1/2$ pyrochlore magnet in a field
• Intrinsic Attractive and Repulsive Interactions: From Classical to Quantum Gases in the Generalized Maxwell-Boltzmann Distribution
• Spin ice in a general applied magnetic field: Kasteleyn transition, magnetic torque and rotational magnetocaloric effect
• Local excitation of kagome spin ice magnetism in HoAgGe seen by scanning tunneling microscopy
• Trimer classical spin liquid from interacting fractional charges
• Effective-Dimension Theory of Critical Phenomena above Upper Critical Dimensions
• Deconstructing Magnetization Noise: Degeneracies, Phases, and Mobile Fractionalized Excitations in Tetris Artificial Spin Ice
• Fingerprints of a charge ice state in the doped Mott insulator Nb${}_3$Cl${}_8$
• Dynamic susceptibility of a spin ice near the critical point
• Quantum effects on pyrochlore higher-rank U(1) spin liquids: Pinch-line singularities, spin nematics, and connections to oxide materials
• Fractonic Berezinskii-Kosterlitz-Thouless transition from a renormalization group perspective
• Magnetic Monopole Supercurrent through a Quantum Spin Ice Tunnel Junction
• Magnetic properties of the spiral spin liquid and surrounding phases in the square lattice XY model
• Dimensional change of quadrupole orders in pseudospin-$\frac{1}{2}$ pyrochlore magnets under [111] field
• Exact Continuum Representation of Long-range Interacting Systems and Emerging Exotic Phases in Unconventional Superconductors
• Spin dynamics of the director state in frustrated hyperkagome systems
• Thermodynamics and fractal dynamics of nematic spin ice, a doubly frustrated pyrochlore Ising magnet
• Exotic Ising dynamics in a Bose-Hubbard model
• 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${}_7$
• Spin-orbital mechanisms for negative thermal expansion in Ca2RuO${}_4$
• Spin structure factor and thermodynamics in the antiferromagnetic quantum Ising model in the pyrochlore lattice
• Spin glassiness and power law scaling in a quasi-triangular spin-1/2 compound
• Probing emergent QED in quantum spin ice via Raman scattering of phonons: shallow inelastic scattering and pair production
• Controlled creation and annihilation of stringless robust emergent magnetic monopoles in artificial spin ice
• Tunable critical correlations in kagome ice
• Fractonic self-duality and covariant magnetic fractons
• Classical and quantum liquids induced by quantum fluctuations
• Effective spin-1/2 exchange interactions in Tb${}_2$Ti${}_2$O${}_7$
• Human-machine collaboration: ordering mechanism of rank-2 spin liquid on breathing pyrochlore lattice
• Neutron scattering from fragmented frustrated magnets
• Geometrically Frustrated Coarsening Dynamics in Spinor Bose-Fermi Mixtures
• Intersublattice entanglement entropy as an extensive property in antiferromagnets
• Classical and quantum spin liquids
• Entropy as a function of magnetization for a 2D spin-ice model exhibiting a Kasteleyn transition
• Interplay of uniform U(1) quantum spin liquid and magnetic phases in rare earth pyrochlore magnets : a fermionic parton approach
• Spin-lattice Coupling in U(1) Quantum Spin Liquids
• Perfectly hidden order and Z2 confinement transition in a fully packed monopole liquid
• A model for the Mediated Artificial Square Ice phenomenology
• Monte Carlo Study of an Effective Ising Model for the Spin-ice type Kondo Lattice Model
• Quantum disordered state of magnetic charges in nanoengineered honeycomb lattice
• Defect QED: Dielectric without a Dielectric, Monopole without a Monopole
• Lattice dynamics and spin-phonon coupling in the kagome spin ice HoAgGe
• Absence of magnetic long range order in Y${}_2$CrSbO${}_7$: bond-disorder induced magnetic frustration in a ferromagnetic pyrochlore
• Pinch points and half-moons in dipolar-octupolar Nd${}_2$Hf${}_2$O${}_7$
• Monte Carlo study on the detection of classical order by disorder in real antiferromagnetic Ising pyrochlores
• Enhanced thermal Hall conductivity below 1 Kelvin in the pyrochlore magnet Yb${}_2$Ti${}_2$O${}_7$
• Vison crystal in quantum spin ice on the breathing pyrochlore lattice
• Collective magnetic state induced by charge disorder in the non-Kramers rare-earth pyrochlore Tb${}_2$ScNbO${}_7$
• Computational studies on magnetism and ferroelectricity
• Hysteresis and Relaxation Effects in the Spin-Ice Compound Dy${}_2$Ti${}_2$O${}_7$ studied by Heat Transport
• Anomalous out-of-equilibrium dynamics in the spin-ice material Dy${}_2$Ti${}_2$O${}_7$ under moderate magnetic fields
• 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
• Surface anisotropy in a magnetic cylinder induced by the displacement of a vortex core
• Magnetic field tuning of crystal field levels and vibronic states in Spin-ice Ho${}_2$Ti${}_2$O${}_7$ observed in far-infrared reflectometry
• Hybrid Local-Order Mechanism for Inversion Symmetry Breaking
• Topology by Design in Magnetic nano-Materials: Artificial Spin Ice
• Elastic study of electric quadrupolar correlation in the paramagnetic state of a frustrated quantum magnet $\mathrm{T}{\mathrm{b}}_{2+\delta }\mathrm{T}{\mathrm{i}}_{2-\delta }{\mathrm{O}}_7$
• Macroscopic bioinspired magnetic active matter and the physical limits of magnetotaxis
• Exact diagonalization for spin-1/2 spin ice pyrochlores
• Persistent dynamic magnetic state in artificial honeycomb spin ice
• Proximal quantum control of spin and spin ensemble with highly localized control field from skyrmions
• Intrinsic (Axion) Statistical Topological Insulator
• Electric Field-Induced Skyrmion Crystals via Charged Monopoles in Insulating Helimagets
• Metal-insulator transitions in pyrochlore oxides
• Snakes in the Plane: Controllable Gliders in a Nanomagnetic Metamaterial
• Frustration and chirality in three-dimensional trillium lattices: Insights and Perspectives
• Tight-binding electronic spectra on graphs with spherical topology. I. The effect of a magnetic charge
• Geometrically Constrained Localized Configurations: First-Order Framework and Analytical Solutions
• Some exactly solvable and tunable frustrated spin models
• Topological excitations in statistical field theory at the upper critical dimension
• On the Interaction of Electrons, Magnetic Monopoles, and Photons
• Conventional description of Unconventional Coulomb-Crystal phase transitions in three-dimensional classical O(N) spin-ice
• ${\mathbb{Z}}_2$ vortices in the ground states of classical Kitaev-Heisenberg models
• Square ice Coulomb phase as a percolated vertex lattice
• Capture and chaotic scattering of a charged particle by magnetic monopole under uniform electric field
• 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
• Interplay of short-range bond order and A-type antiferromagnetic order in metallic triangular lattice GdZn${}_3$P${}_3$
• Interaction effects of pseudospin-based magnetic monopoles and kinks in a doped dipolar superlattice gas
• Dissipative Berry phase effect in quantum tunneling
• Quantum Spin Liquids in Pyrochlore Magnets With Non-Kramers Local Moments
• Pinch-line spin liquids as layered Coulomb phases and applications to cubic models
• Magnetic charge's relaxation propelled electricity in two-dimensional magnetic honeycomb lattice
• Analogue black string in a quantum harmonic oscillator
• Power spectrum of magnetic relaxation in spin ice: anomalous diffusion in a Coulomb fluid
• The design, verification, and applications of Hotspice: a Monte Carlo simulator for artificial spin ice
• Coupling-dependent antiferromagnetic-ferromagnetic ordering in a pinwheel artificial spin ice
• Exploring possible magnetic monopoles-induced magneto-electricity in spin ices
• Anomalous Proximitized Transport in Metal/Quantum Magnet Heterostructure $\mathrm{B}{\mathrm{i}}_2\mathrm{I}{\mathrm{r}}_2{\mathrm{O}}_7/Y{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Room temperature spin-ice physics in cadmium cyanide
• Crossover from string to cluster dynamics following a field quench in spin ice
• Stochastic parameter optimization analysis of dynamical quantum critical phenomena in long-range transverse-field Ising chain
• Crystalline phases and devil's staircase in qubit spin ice
• Quantum simulation of Abelian Wu-Yang monopoles in spin-1/2 systems
• Coulombic antiferromagnet in spin-1/2 pyrochlores with dipole-octupole doublets
• An electric-field representation of the harmonic XY model
• Flux roughening in spin ice with mixed $\pm J$ interactions
• Magnetic charge injection in spin ice: a new way to fragmentation
• Stabilizing the false vacuum: Mott skyrmions
• Nuclear resonant surface diffraction
• Thermal Conductivity of Square Ice
• Gauge-Free Duality in Pure Square Spin Ice: Topological Currents and Monopoles
• Spin and quadrupole correlations by three-spin interaction in the frustrated pyrochlore magnet Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• The monopole movement
• Action-Angle Variables In Conformal Mechanics
• Emergent Snake Magnetic Domains in Canted Kagome Ice
• Universal dynamics of magnetic monopoles in two-dimensional kagomé ice
• Topological Aspects of Antiferromagnets
• The dipolar spin glass transition in three dimensions
• Many-body electronic structure in pyrochlore superconductor CsBi2 and spin liquid Pr2Ir2O7
• Metallic layered materials with magnetic frustration: An ARPES view of the SmAuAl${}_4$Ge${}_2$ and TbAuAl${}_4$Ge${}_2$
• Inductance Due to Spin Current
• Dynamic scaling theory for a field quench near the Kasteleyn transition in spin ice
• Dirac-Schwinger Quantization for Emergent Magnetic Monopoles?
• Magnetic monopole relaxation effects in spin ice Dy${}_2$Ti${}_2$O${}_7$
• Multimagnetic Monopoles
• Synthetic half-integer magnetic monopole and single-vortex dynamics in spherical Bose-Einstein condensates
• Standard model of electromagnetism and chirality in crystals
• Spin-ice behavior of three-dimensional inverse opal-like magnetic structures: micromagnetic simulations
• Textured heterogeneity in square artificial spin ice
• Emergent topological quasiparticle kinetics in constricted nanomagnets
• Density-Matrix Mean-Field Theory
• Scaling study of diffusion in dynamic crowded spaces
• Local site behavior of the 5d and 4f ions in the frustrated pyrochlore Ho2Os2O7
• Low frequency spin dynamics in XY quantum spin ice Yb${}_2$Pt${}_2$O${}_7$
• Nonequilibrium generation of charge defects in kagome spin ice under slow cooling
• Observation of magnetic fragmentation in spin ice
• Emergence, causation and storytelling: condensed matter physics and the limitations of the human mind
• Magnetic monopole induced polarons in atomic superlattices
• Ferromagnetic Order of Reduced Magnetic Moments in a Frustrated Sawtooth Chain of the Magnetic Semiconductor ZnYb${}_2$S${}_4$
• Deconfined Fractionally Charged Excitation in Any Dimensions
• Spin waves in rings of classical magnetic dipoles
• Ising Supercriticality and Universal Magnetocalorics in Spiral Antiferromagnet Nd${}_3$BWO${}_9$
• Influence of controlled disorder on the dipolar spin ice state of Ho-based pyrochlores
• How physics got its right hand: The origins of chiral conventions in electromagnetism
• Magnetic Scattering Chapter
• Quantum Spin Liquids Stabilized by Disorder in Non-Kramers Pyrochlores
• Is there any Nambu monopolium out there?
• Ultrafast Laser-Induced Magnetic Relaxation in Artificial Spin Ice Driven by Dipolar Interactions
• On the Stability of Quantum Hall Kagome-ice Insulator
• Mean-field theory for confinement transitions and magnetization plateaux in spin ice
• Classical ground states, spin-wave and PCUT analysis of ${\mathrm{H}}_2\mathrm{SQ}$ system
• Coupling quantum spin ice to matter on the centered pyrochlore lattice
• KOMPASS: the new cold neutron triple-axis-spectrometer specialized for polarization analysis
• Symmetrizing the Constraints -- Density Matrix Renormalization Group for Constrained Lattice Models
• Spinor ice correlation in flat-band electronic states on kagome and pyrochlore lattices with spin-orbit coupling
• Exact ground state of a frustrated integer-spin modified Shastry-Sutherland model
• Random Transverse Field Effects on Magnetic Noise in Spin Systems
• Comment on Magnetic Monopole Excitations in Spin Ice
• Monopole Field Textures in Interacting Spin Systems
• Long-range Coulomb interactions and nonhydrodynamic behavior in thermal quenches in spin ice
• Emergent electrostatics in planar XY spin models: the bridge connecting topological order with broken $U(1)$ symmetry
• Ferromagnetic fragmented state in the pyrochlore Ho${}_2$Ru${}_2$O${}_7$
• Z${}_2$ topological orders in kagomé dipolar systems: Feedback from Rydberg quantum simulator
• Unusual Coulomb phase physics in the arctic square ice
• Effect of electromagnetic permeability on transition temperature of superconductivity
• Mapping the Phase Diagram of a Frustrated Magnet: Degeneracies, Flat Bands, and Canting Cycles on the Pyrochlore Lattice
• Spin liquid state in a three-dimensional pyrochlore-like frustrated magnet
• Disorder from disorder and confinement in the quantum Ising model in the pyrochlore lattice
• Classical spin liquids from frustrated Ising models in hyperbolic space
• Hearing the light: stray-field noise from the emergent photon in quantum spin ice
• On the gauge transformation for the rotation of the singular string in the Dirac monopole theory
• "Color-tripole ice" as a conceptual generalization of "spin ice"
• Excitation spectrum and low-temperature magnetism in disordered defect-fluorite Ho2Zr2O7
• Attaining the Ground State of Kagome Artificial Spin Ice via Ultrafast Site-Specific Laser Annealing
• Observation of Magnetic Devil's Staircase-Like Behavior in Quasiperiodic Qubit Lattices
• Waveguide QED toolboxes for universal quantum matter
• Phase Transition and Monopoles Densities in a Nearest Neighbors Two-Dimensional Spin Ice Model
• Refined spin Hamiltonian on the Cairo pentagonal lattice of Bi2Fe4O9
• Controlling degeneracy and magnetization switching in an artificial spin ice system of peanut-shaped nanomagnets
• Small-Network Approximations for Geometrically Frustrated Ising Systems
• The Maxwell--Born--Infeld Theory: Presence of Finite-Energy Electric Point Charge and Absence of Monopole and Dyon
• Subsystem symmetries, critical Bose surface, and immobile excitations in an extended compass model
• Decorated cluster lattices: a natural framework for classical spin liquids and flat bands
• Flux fractionalization transition in anisotropic $S=1$ antiferromagnets and dimer-loop models
• Anisotropic Spin Ice on a Breathing Pyrochlore Lattice
• Observations of 't Hooft's sublattices and Dirac's monopole by inhomogeneous phases of solitons
• Various facets of magnetic charge correlation: Micromagnetic and distorted waveBorn approximation simulations study
• The contribution of magnetic monopoles to ponderomotive forces in plasmas
• Fluidic Endogenous Magnetism and Magnetic Monopole Clues from Liquid Metal Droplet Machine
• Thin films of the spin ice compound Ho2Ti2O7
• Classically Bound and Quantum Quasi-Bound States of an Electron on a Plane Adjacent to a Magnetic Monopole
• Classification and correlation signatures of chiral spin liquids on the pyrochlore lattice
• Dynamic scaling near the Kasteleyn transition in spin ice: critical relaxation of monopoles and strings following a field quench
• Long-Range Order and Quantum Criticality in Antiferromagnetic Chains with Long-Range Staggered Interactions
• Direct Imaging of Complex Spin Ice Behavior and Ordered Sublattices in Artificial Ferromagnetic Quasicrystals
• Dynamical Generation of Spin Current and Phase Slip in Exciton-Polariton Condensates