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

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• Spectral-fingerprinting: Microstate readout via remanence ferromagnetic resonance in artificial spin systems
• Dipolar spin ice states with fast monopole hopping rate in CdEr${}_2$X${}_4$ (X = Se, S)
• Theory of magnetotransport in artificial kagome spin ice
• Intrinsic and extrinsic nonstationary field-driven processes in the spin-ice compound Dy2Ti2O7
• Low-temperature thermal conductivity of Dy_2Ti_2O_7 and Yb_2Ti_2O_7 single crystals
• Non-monotonic residual entropy in diluted spin ice: a comparison between Monte Carlo simulations of diluted dipolar spin ice models and experimental results
• Quenched Dynamics of Artificial Spin Ice: Coarsening versus Kibble-Zurek
• Supercooling and fragile glassiness in a dipolar kagome Ising magnet
• Emergent Potts Order in a Coupled Hexatic-Nematic XY model
• Suppression of Pauling's Residual Entropy in Dilute Spin Ice (Dy${}_{1-x}$Y${}_x$)${}_2$Ti${}_2$O${}_7$
• Tension-free Dirac strings and steered magnetic charges in 3D artificial spin ice
• The multiple symmetry sustaining phase transitions of spin ice
• Evidence for the Confinement of Magnetic Monopoles in Quantum Spin Ice
• Orbital ice: an exact Coulomb phase on the diamond lattice
• Spiral-spin-liquid behaviors and persistent reciprocal kagomé structure in frustrated van der Waals magnets and beyond
• String Phase in an Artificial Spin Ice
• Magnetic dilution and domain selection in the XY pyrochlore antiferromagnet Er${}_2$Ti${}_2$O${}_7$
• Spin ice thin films: Large-N theory and Monte Carlo simulations
• Thermodynamics of the classical spin-ice model with nearest neighbour interactions using the Wang-Landau algorithm
• High temperature onset of field-induced transitions in the spin-ice compound Dy2Ti2O7
• Field-Induced magnetic structures in Tb2Ti2O7 at low temperatures: From spin-ice to spin-flip structures
• Neutron Larmor diffraction investigation of the rare earth pyrochlores $R_2$Ti${}_2$O${}_7$ ($R$ = Tb, Dy, Ho)
• Collinear order and chirality-reorientation transition in the Cairo pentagonal magnet Bi${}_4$Fe${}_5$O${}_{13}$F
• Time-reversal switching responses in antiferromagnets
• Strong quantum fluctuations due to competition between magnetic phases in a pyrochlore iridate
• Competing quantum spin liquids, gauge fluctuations, and anisotropic interactions in a breathing pyrochlore lattice
• Fingerprints of quantum spin ice in Raman scattering
• Monte Carlo based techniques for quantum magnets with long-range interactions
• Microscopic Aspects of Magnetic Lattice Demagnetizing Factors
• Higher-form Symmetries under Weak Measurement
• Anisotropic Quantum Spin Hall Effect, Spin-Orbital Textures and Mott Transition
• Effective decoupling of ferromagnetic sublattices by frustration in Heusler alloys
• On the conservation of helicity in a chiral medium
• Topological magnetic textures in magnetic topological insulators
• Multiferroics and beyond: electric properties of different magnetic textures
• Coulombic Charge Ice
• 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
• Vortex-crystal pattern in an anti-artificial spin ice system
• Dipolar Spin Ice Under Uniaxial Pressure
• Electronic tunability of the frustrated triangular-lattice cluster magnet LiZn${}_{2-x}$Mo${}_3$O${}_8$
• Frustration induced highly anisotropic magnetic patterns in classical $XY$ model on kagome lattice
• Featureless quantum paramagnet with frustrated criticality and competing spiral magnetism on spin-1 honeycomb lattice magnet
• Free coherent spinons in quantum square ice
• Hydrodynamics of three-dimensional skyrmions in frustrated magnets
• Extended Coulomb liquid of paired hardcore boson model on a pyrochlore lattice
• Experimental observation of magnetoelectricity in spin ice Dy${}_2$Ti${}_2$O${}_7$
• Dynamic Control of Topological Defects in Artificial Colloidal Ice
• Electric field control of emergent electrodynamics in quantum spin ice
• Maxwell electromagnetism as an emergent phenomenon in condensed matter
• 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 --
• 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${}_7$
• Anomalous Magnetoresistance by Breaking Ice Rule in Bi2Ir2O7/Dy2Ti2O7 Heterostructure
• Absence of moment fragmentation in the mixed $B$-site pyrochlore Nd${}_2$GaSbO${}_7$
• Semi-classical Approach to Quantum Spin Ice
• Static properties of 2D spin-ice as a sixteen-vertex model
• Dipolar ferromagnetism in three-dimensional superlattices of nanoparticles
• Rod motifs in neutron scattering in spin ice
• Confinement of monopoles and scaling theory near unconventional critical points
• Evidence for spin liquid ground state in SrDy${}_2$O${}_4$ frustrated magnet probed by muSR
• Flux Quantization Due to Monopole and Dipole Currents
• LiHoF${}_4$: Cuboidal Demagnetizing Factor in an Ising Ferromagnet
• Instability and topological robustness of Weyl semimetals against Coulomb interaction
• Note on Generalized Symmetries, Gapless Excitations, Generalized Symmetry Protected Topological states, and Anomaly
• On the relationship between topological and geometric defects
• The 3D Kasteleyn transition in dipolar spin ice: a numerical study with the Conserved Monopoles Algorithm
• Emergent order in the spin-frustrated system DyxTb2-xTi2O7 studied by ac susceptibility measurements
• Frustration on a centred pyrochlore lattice in metal-organic frameworks
• Probing Flat Band Physics in Spin Ice Systems via Polarized Neutron Scattering
• Temperature Dependent Magnetism in Artificial Honeycomb Lattice of Connected Elements
• Charge and spin correlations in the Monopole Liquid
• 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
• A Classical Chiral Spin-Liquid from Chiral Interactions on the Pyrochlore Lattice
• Persistence of the flat band in a kagome magnet with dipolar interactions
• Signatures of long range dipolar interactions in artificial square ice
• Low-energy effective theories of the two-thirds filled Hubbard model on the triangular necklace lattice
• Spin Correlations in the Dipolar Pyrochlore Antiferromagnet Gd2Sn2O7
• Quenched crystal field disorder and magnetic liquid ground states in Tb2Sn2-xTixO7
• 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
• Deviation from the dipole-ice model in the new spinel spin-ice candidate, MgEr${}_2$Se${}_4$
• 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
• Continuum excitation and pseudospin wave in quantum spin-liquid and quadrupole ordered states of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Fragmented spin ice and multi-$k$ ordering in rare-earth antiperovskites
• Low-temperature muon spin rotation studies of the monopole charges and currents in Y doped Ho2Ti2O7
• Tunable topological transitions in the frustrated magnet HoAgGe
• Riemann surface and quantization
• The Polarized Monopole Liquid: a Coulomb phase in a fluid of magnetic charges
• Superconducting phase transition reveals an electromagnetic coupling to a scalar field potential that generates mechanical work
• Magnetic-Field-Dependent Thermodynamic Properties of Square and Quadrupolar Artificial Spin Ice
• Quantum half-orphans in kagome antiferromagnets
• Compass and Kitaev models -- Theory and Physical Motivations
• Epitaxial stabilization of (111)-oriented frustrated quantum pyrochlore thin films
• The Kasteleyn transition in three dimensions: spin ice in a [100] field
• Topologically protected superconducting ratchet effect generated by spin-ice nanomagnets
• Nuclear spin assisted quantum tunnelling of magnetic monopoles in spin ice
• Coulomb physics in spin ice, from magnetic monopoles to magnetic currents
• Frustrated charge density wave and quasi-long-range bond-orientational order in the magnetic kagome FeGe
• Magnetic monopole bibliography
• Charge-Neutral Electronic Excitations in Quantum Insulators
• Crystal field excitations from $\mathrm{Y}{\mathrm{b}}^{3+}$ ions at defective sites in highly stuffed $\mathrm{Y}{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Stable and unstable trajectories in a dipolar chain
• Prethermal time-crystalline spin ice and monopole confinement in a driven magnet
• Phase diagram of dipolar-coupled XY moments on disordered square lattices
• 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
• Magnetic monopoles and nonassociative deformations of quantum theory
• Quantum skyrmion Hall effect
• Magnetic order in Tb${}_2$Sn${}_2$O${}_7$ under high pressure: from ordered spin ice to spin liquid and antiferromagnetic order
• Anomalously slow spin dynamics and short-range correlations in the quantum spin ice systems Yb2Ti2O7 and Yb2Sn2O7
• Magnetic properties and magnetic structure of the frustrated quasi-one-dimensional antiferromagnet SrCuTe${}_2$O${}_6$
• Magnetic properties of a family of quinternary oxalates
• Structural magnetic glassiness in spin ice Dy${}_2$Ti${}_2$O${}_7$
• Universal monopole scaling near transitions from the Coulomb phase
• Gauge Formulation for Two Potential Theory of Dyons
• Multiple Coulomb phases with temperature tunable ice rules in pyrochlore spin crossover materials
• Effects of uniaxial pressure on the spin ice Ho2Ti2O7
• The $3d$-Electron Heisenberg Pyrochlore Mn${}_2$Sb${}_2$O${}_7$
• Asymmetric Ferromagnetic Criticality in Pyrochlore Ferromagnet Lu${}_2$V${}_2$O${}_7$
• Tuning magnetic charge population and mobility in unidirectional array of nanomagnets as a function of lattice parameters
• 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
• Optimization of single crystal growth of candidate quantum spin-ice Pr2Hf2O7 by optical floating-zone method
• Proton strings and rings in atypical nucleation of ferroelectricity in ice
• Half-Magnetization Plateau of a Dipolar Spin Ice in a [100] Field
• Phase diagram of J1-J2 transverse field Ising model on the checkerboard lattice: a plaquette-operator approach
• Magnetotransport of single crystal Sm${}_2$Ir${}_2$O${}_7$ across the pressure-induced quantum-critical phase boundary
• Hierarchical excitations from correlated spin tetrahedra on the breathing pyrochlore lattice
• 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${}_7$
• Supersymmetry on the lattice: Geometry, Topology, and Flat Bands
• Creation of a Dirac monopole-antimonopole pair in a spin-1 Bose-Einstein condensate
• Phonon thermal Hall effect in non-magnetic Y${}_2$Ti${}_2$O${}_7$
• Dilution effects in Ho${}_{2-x}$Y${}_x$Sn${}_2$O${}_7$: from the Spin Ice to the single-ion magnet
• Violation of the fluctuation-dissipation theorem and effective temperatures in spin ice
• Gauge Field and Confinement-Deconfinement Transition in Hydrogen-Bonded Ferroelectrics
• Accessing low-energy magnetic microstates in symmetry-broken isolated square artificial spin ice vertices with magnetic field
• Influence of cutoff dipole interaction radius and dilution on phase transition in kagome artificial spin ice
• Magnetization dynamics of weakly interacting sub-100 nm square artificial spin ices
• Magnetic Monopoles and Dark Matter
• Emergent light crystal from frustration and pump engineering
• Magnetization beyond the Ising limit of Ho${}_2$Ti${}_2$O${}_7$
• Second-order phase transition in the Heisenberg model on a triangular lattice with competing interactions
• Electrodynamics of dual superconducting chiral medium
• Inertial effects in systems with magnetic charge
• Determination of the Entropy via Measurement of the Magnetization: Application to the Spin ice Dy2Ti2O7
• A pseudofermion functional renormalization group study of dipolar-octupolar pyrochlore magnets
• Quantization of Magnetic Poisson Structures
• An intermediate state between the kagome-ice and the fully polarized state in Dy${}_2$Ti${}_2$O${}_7$
• Predicted photoinduced pair annihilation of emergent magnetic charges in the organic salt $\alpha$-(BEDT-TTF)${}_2$I${}_3$ irradiated by linearly polarized light
• Amorphous ferromagnetism and re-entrant magnetic glassiness in Sm${}_2$Mo${}_2$O${}_7$: new insights into the electronic phase diagram of pyrochlore molybdates
• Equilibrium Field Theory of Magnetic Monopoles in Degenerate Square Spin Ice: Correlations, Entropic Interactions, and Charge Screening Regimes
• A cluster algorithm for Monte Carlo simulations of spin ice
• Low Energy Magneto-optics of Tb${}_2$Ti${}_2$O${}_7$ in [111] Magnetic Field
• Thermal Transport Properties of Magnons on the $\alpha$-T${}_3$ Lattice
• Entropy in quantum chromodynamics
• Macroscopic Magnetic Monopoles in a 3D-Printed Mechano-Magnet
• Field-Induced Ordering in Dipolar Spin Ice
• Interplay of dilution and magnetic field in the nearest-neighbor spin-ice model on the pyrochlore lattice
• Mean-field phase diagram and spin glass phase of the dipolar Kagome Ising antiferromagnet
• Revisiting the missing He-McKellar-Wilkens geometric quantum phase
• Magnetic field and thermal Hall effect in a pyrochlore U(1) quantum spin liquid
• Entropically-stabilised growth of a two-dimensional random tiling
• Extremely slow non-equilibrium monopole dynamics in classical spin ice
• Kinetics of Spin Relaxation in Wires and Channels: Boundary Spin Echo and Tachyons
• Field-selective classical spin liquid and magnetization plateaus on kagome lattice
• Dynamics and thermodynamics of a pair of interacting magnetic dipoles
• Spiral Spin Liquid Noise
• Bilayer artificial spin ice: magnetic force switching and basic thermodynamics
• 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
• Monomer-Dimer Mixture on a Honeycomb Lattice
• Synthesis of epitaxial magnetic pyrochlore heterojunctions
• Two--center quantum MICZ--Kepler system and the Zeeman effect in the charge-dyon system
• Dynamical Signatures of Rank-2 $U(1)$ Spin Liquids
• Dichotomous Dynamics of Magnetic Monopole Fluids
• The Concept of Spin Ice Graphs and a Field Theory for their Topological Monopoles and Charges
• T-duality and the bulk-boundary correspondence
• When electric charge becomes also magnetic
• Geometrically induced reversion of Hall current in a topological insulator cavity
• Screening and the Pinch Point Paradox in Spin Ice
• Goldstone modes in the emergent gauge fields of a frustrated magnet
• Hybrid Dyons, inverted Lorentz force and magnetic Nernst effect in quantum spin ice
• On the micromagnetic behavior of dipolar-coupled nanomagnets in defective square artificial spin ice systems
• Nematic quantum phases in the bilayer honeycomb antiferromagnet
• Emergent Gauge Fields in Band Insulators
• A Synthetic Macroscopic Magnetic Unipole
• Spin ice in a general applied magnetic field: Kasteleyn transition, magnetic torque and rotational magnetocaloric effect
• Effective-Dimension Theory of Critical Phenomena above Upper Critical Dimensions
• Magnetization process and ordering of the $S=1/2$ pyrochlore magnet in a field
• Electric activity at magnetic moment fragmentation in spin ice
• Linear scaling relationship of Néel temperature and dominant magnons in pyrochlore ruthenates
• Trimer classical spin liquid from interacting fractional charges
• Intermediate phase and pseudo phase transition in an artificial spin ice model
• Robustness of entropy plateaus: A case study of triangular Ising antiferromagnets
• Bimagnetic Monopoles
• [111]-strained spin ice: Localization of thermodynamically deconfined monopoles
• Hunting Down Magnetic Monopoles in 2D Topological Insulators
• Higher-Rank Spin Liquids and Spin Nematics from Competing Orders in Pyrochlore Magnets
• Massive spinons in $S=1/2$ spin chains: spinon-pair operator representation
• Intrinsic Attractive and Repulsive Interactions: From Classical to Quantum Gases in the Generalized Maxwell-Boltzmann Distribution
• Local excitation of kagome spin ice magnetism in HoAgGe seen by scanning tunneling microscopy
• Novel way to construct spatially localized finite energy structures
• Oscillatory magnetic fields for neutron resonance spin-echo spectroscopy
• 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
• Magnon Dispersion and Specific Heat of Chiral Magnets on the Pyrochlore Lattice
• A simple model for calculating magnetic nanowire domain wall fringing fields
• The Magnetic Structure of $E{r}_{2}T{i}_2{O}_7$
• Arch-based configurations in the volume ensemble of static granular systems
• Possible spin frustration in Nd${}_2$Ti${}_2$O${}_7$ probed by muon spin relaxation
• Topological phases of dipolar particles in elongated Wannier orbitals
• Quantum order by disorder in a semiclassical spin ice
• Controlled creation and annihilation of stringless robust emergent magnetic monopoles in artificial spin ice
• Probing emergent QED in quantum spin ice via Raman scattering of phonons: shallow inelastic scattering and pair production
• Fractonic Berezinskii-Kosterlitz-Thouless transition from a renormalization group perspective
• Spin structure factor and thermodynamics in the antiferromagnetic quantum Ising model in the pyrochlore lattice
• Dimensional change of quadrupole orders in pseudospin-$\frac{1}{2}$ pyrochlore magnets under [111] field
• Traversing the pyrochlore stability diagram; microwave-assisted synthesis and discovery of mixed B-site Ln${}_2$InSbO${}_7$ family
• Exact Continuum Representation of Long-range Interacting Systems and Emerging Exotic Phases in Unconventional Superconductors
• Thermodynamics and fractal dynamics of nematic spin ice, a doubly frustrated pyrochlore Ising magnet
• Quantum effects on pyrochlore higher-rank U(1) spin liquids: Pinch-line singularities, spin nematics, and connections to oxide materials
• Classical and quantum liquids induced by quantum fluctuations
• Spin dynamics of the director state in frustrated hyperkagome systems
• Magnetic properties of the spiral spin liquid and surrounding phases in the square lattice XY model
• Spin-orbital mechanisms for negative thermal expansion in Ca2RuO${}_4$
• Magnetic Monopole Supercurrent through a Quantum Spin Ice Tunnel Junction
• Fingerprints of a charge ice state in the doped Mott insulator Nb${}_3$Cl${}_8$
• Exotic Ising dynamics in a Bose-Hubbard model
• Revisiting spin ice physics in the ferromagnetic Ising pyrochlore Pr${}_2$Sn${}_2$O${}_7$
• Fractonic self-duality and covariant magnetic fractons
• Tunable critical correlations in kagome ice
• Dynamic susceptibility of a spin ice near the critical point
• 2-Form U(1) Spin Liquids: Classical Model and Quantum Aspects
• Spin glassiness and power law scaling in a quasi-triangular spin-1/2 compound
• Deconstructing Magnetization Noise: Degeneracies, Phases, and Mobile Fractionalized Excitations in Tetris Artificial Spin Ice
• Intersublattice entanglement entropy as an extensive property in antiferromagnets
• Interplay of uniform U(1) quantum spin liquid and magnetic phases in rare earth pyrochlore magnets : a fermionic parton approach
• Human-machine collaboration: ordering mechanism of rank-2 spin liquid on breathing pyrochlore lattice
• Perfectly hidden order and Z2 confinement transition in a fully packed monopole liquid
• Spin-lattice Coupling in U(1) Quantum Spin Liquids
• Neutron scattering from fragmented frustrated magnets
• Computational studies on magnetism and ferroelectricity
• Pinch points and half-moons in dipolar-octupolar Nd${}_2$Hf${}_2$O${}_7$
• Collective magnetic state induced by charge disorder in the non-Kramers rare-earth pyrochlore Tb${}_2$ScNbO${}_7$
• Effective spin-1/2 exchange interactions in Tb${}_2$Ti${}_2$O${}_7$
• Lattice dynamics and spin-phonon coupling in the kagome spin ice HoAgGe
• Monte Carlo Study of an Effective Ising Model for the Spin-ice type Kondo Lattice Model
• A model for the Mediated Artificial Square Ice phenomenology
• Defect QED: Dielectric without a Dielectric, Monopole without a Monopole
• Geometrically Frustrated Coarsening Dynamics in Spinor Bose-Fermi Mixtures
• Entropy as a function of magnetization for a 2D spin-ice model exhibiting a Kasteleyn transition
• Classical and quantum spin liquids
• Vison crystal in quantum spin ice on the breathing pyrochlore lattice
• 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${}_7$
• Quantum disordered state of magnetic charges in nanoengineered honeycomb lattice
• Absence of magnetic long range order in Y${}_2$CrSbO${}_7$: bond-disorder induced magnetic frustration in a ferromagnetic pyrochlore
• Geometrically Constrained Localized Configurations: First-Order Framework and Analytical Solutions
• Metal-insulator transitions in pyrochlore oxides
• Electric Field-Induced Skyrmion Crystals via Charged Monopoles in Insulating Helimagets
• Snakes in the Plane: Controllable Gliders in a Nanomagnetic Metamaterial
• Magnetic field tuning of crystal field levels and vibronic states in Spin-ice Ho${}_2$Ti${}_2$O${}_7$ observed in far-infrared reflectometry
• Frustration and chirality in three-dimensional trillium lattices: Insights and Perspectives
• Intrinsic (Axion) Statistical Topological Insulator
• Hybrid Local-Order Mechanism for Inversion Symmetry Breaking
• Surface anisotropy in a magnetic cylinder induced by the displacement of a vortex core
• Elastic study of electric quadrupolar correlation in the paramagnetic state of a frustrated quantum magnet $\mathrm{T}{\mathrm{b}}_{2+\delta }\mathrm{T}{\mathrm{i}}_{2-\delta }{\mathrm{O}}_7$
• Tight-binding electronic spectra on graphs with spherical topology. I. The effect of a magnetic charge
• Electric Field Response In Breathing Pyrochlores
• Persistent dynamic magnetic state in artificial honeycomb spin ice
• On the Interaction of Electrons, Magnetic Monopoles, and Photons
• Exact diagonalization for spin-1/2 spin ice pyrochlores
• Topological excitations in statistical field theory at the upper critical dimension
• Hysteresis and Relaxation Effects in the Spin-Ice Compound Dy${}_2$Ti${}_2$O${}_7$ studied by Heat Transport
• Some exactly solvable and tunable frustrated spin models
• Proximal quantum control of spin and spin ensemble with highly localized control field from skyrmions
• Anomalous out-of-equilibrium dynamics in the spin-ice material Dy${}_2$Ti${}_2$O${}_7$ under moderate magnetic fields
• ${\mathbb{Z}}_2$ vortices in the ground states of classical Kitaev-Heisenberg models
• Topology by Design in Magnetic nano-Materials: Artificial Spin Ice
• Tuning interactions in the spin-ice materials Dy${}_2$Ge${}_{2-x}$Si${}_x$O${}_7$ by silicon substitution
• Conventional description of Unconventional Coulomb-Crystal phase transitions in three-dimensional classical O(N) spin-ice
• Macroscopic bioinspired magnetic active matter and the physical limits of magnetotaxis
• Universal dynamics of magnetic monopoles in two-dimensional kagomé ice
• Metallic layered materials with magnetic frustration: An ARPES view of the SmAuAl${}_4$Ge${}_2$ and TbAuAl${}_4$Ge${}_2$
• Square ice Coulomb phase as a percolated vertex lattice
• 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${}_3$
• Quantum Spin Liquids in Pyrochlore Magnets With Non-Kramers Local Moments
• Interaction effects of pseudospin-based magnetic monopoles and kinks in a doped dipolar superlattice gas
• Pinch-line spin liquids as layered Coulomb phases and applications to cubic models
• Quantum simulation of Abelian Wu-Yang monopoles in spin-1/2 systems
• Thermal Conductivity of Square Ice
• Inductance Due to Spin Current
• Analogue black string in a quantum harmonic oscillator
• Magnetic charge's relaxation propelled electricity in two-dimensional magnetic honeycomb lattice
• Nuclear resonant surface diffraction
• 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
• Room temperature spin-ice physics in cadmium cyanide
• Capture and chaotic scattering of a charged particle by magnetic monopole under uniform electric field
• Anomalous Proximitized Transport in Metal/Quantum Magnet Heterostructure $\mathrm{B}{\mathrm{i}}_2\mathrm{I}{\mathrm{r}}_2{\mathrm{O}}_7/Y{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Crossover from string to cluster dynamics following a field quench in spin ice
• The dipolar spin glass transition in three dimensions
• An electric-field representation of the harmonic XY model
• Emergent Snake Magnetic Domains in Canted Kagome Ice
• Magnetic charge injection in spin ice: a new way to fragmentation
• Stabilizing the false vacuum: Mott skyrmions
• Stochastic parameter optimization analysis of dynamical quantum critical phenomena in long-range transverse-field Ising chain
• Dissipative Berry phase effect in quantum tunneling
• Crystalline phases and devil's staircase in qubit spin ice
• Coulombic antiferromagnet in spin-1/2 pyrochlores with dipole-octupole doublets
• The monopole movement
• Topological Aspects of Antiferromagnets
• Flux roughening in spin ice with mixed $\pm J$ interactions
• Action-Angle Variables In Conformal Mechanics
• 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
• Many-body electronic structure in pyrochlore superconductor CsBi2 and spin liquid Pr2Ir2O7
• Low frequency spin dynamics in XY quantum spin ice Yb${}_2$Pt${}_2$O${}_7$
• Spin waves in rings of classical magnetic dipoles
• Dirac-Schwinger Quantization for Emergent Magnetic Monopoles?
• Dynamic scaling theory for a field quench near the Kasteleyn transition in spin ice
• Nonequilibrium generation of charge defects in kagome spin ice under slow cooling
• Spinor ice correlation in flat-band electronic states on kagome and pyrochlore lattices with spin-orbit coupling
• Magnetic Scattering Chapter
• Emergence, causation and storytelling: condensed matter physics and the limitations of the human mind
• Magnetic monopole induced polarons in atomic superlattices
• Mean-field theory for confinement transitions and magnetization plateaux in spin ice
• On the Stability of Quantum Hall Kagome-ice Insulator
• Monopole Field Textures in Interacting Spin Systems
• Influence of controlled disorder on the dipolar spin ice state of Ho-based pyrochlores
• Symmetrizing the Constraints -- Density Matrix Renormalization Group for Constrained Lattice Models
• Ising Supercriticality and Universal Magnetocalorics in Spiral Antiferromagnet Nd${}_3$BWO${}_9$
• Deconfined Fractionally Charged Excitation in Any Dimensions
• Magnetic monopole relaxation effects in spin ice Dy${}_2$Ti${}_2$O${}_7$
• Observation of magnetic fragmentation in spin ice
• Spin-ice behavior of three-dimensional inverse opal-like magnetic structures: micromagnetic simulations
• KOMPASS: the new cold neutron triple-axis-spectrometer specialized for polarization analysis
• Coupling quantum spin ice to matter on the centered pyrochlore lattice
• Scaling study of diffusion in dynamic crowded spaces
• Multimagnetic Monopoles
• How physics got its right hand: The origins of chiral conventions in electromagnetism
• Comment on Magnetic Monopole Excitations in Spin Ice
• Ultrafast Laser-Induced Magnetic Relaxation in Artificial Spin Ice Driven by Dipolar Interactions
• Standard model of electromagnetism and chirality in crystals
• Classical ground states, spin-wave and PCUT analysis of ${\mathrm{H}}_2\mathrm{SQ}$ system
• Emergent topological quasiparticle kinetics in constricted nanomagnets
• Is there any Nambu monopolium out there?
• Synthetic half-integer magnetic monopole and single-vortex dynamics in spherical Bose-Einstein condensates
• Textured heterogeneity in square artificial spin ice
• Ferromagnetic fragmented state in the pyrochlore Ho${}_2$Ru${}_2$O${}_7$
• Exact ground state of a frustrated integer-spin modified Shastry-Sutherland model
• Ferromagnetic Order of Reduced Magnetic Moments in a Frustrated Sawtooth Chain of the Magnetic Semiconductor ZnYb${}_2$S${}_4$
• Emergent electrostatics in planar XY spin models: the bridge connecting topological order with broken $U(1)$ symmetry
• Density-Matrix Mean-Field Theory
• Local site behavior of the 5d and 4f ions in the frustrated pyrochlore Ho2Os2O7
• Long-range Coulomb interactions and nonhydrodynamic behavior in thermal quenches in spin ice
• Quantum Spin Liquids Stabilized by Disorder in Non-Kramers Pyrochlores
• Random Transverse Field Effects on Magnetic Noise in Spin Systems
• Fluidic Endogenous Magnetism and Magnetic Monopole Clues from Liquid Metal Droplet Machine
• The Maxwell--Born--Infeld Theory: Presence of Finite-Energy Electric Point Charge and Absence of Monopole and Dyon
• Classically Bound and Quantum Quasi-Bound States of an Electron on a Plane Adjacent to a Magnetic Monopole
• Unusual Coulomb phase physics in the arctic square ice
• On the gauge transformation for the rotation of the singular string in the Dirac monopole theory
• Subsystem symmetries, critical Bose surface, and immobile excitations in an extended compass model
• Z${}_2$ topological orders in kagomé dipolar systems: Feedback from Rydberg quantum simulator
• Refined spin Hamiltonian on the Cairo pentagonal lattice of Bi2Fe4O9
• "Color-tripole ice" as a conceptual generalization of "spin ice"
• Long-Range Order and Quantum Criticality in Antiferromagnetic Chains with Long-Range Staggered Interactions
• Anisotropic Spin Ice on a Breathing Pyrochlore Lattice
• Disorder from disorder and confinement in the quantum Ising model in the pyrochlore lattice
• Classical spin liquids from frustrated Ising models in hyperbolic space
• Mapping the Phase Diagram of a Frustrated Magnet: Degeneracies, Flat Bands, and Canting Cycles on the Pyrochlore Lattice
• Classification and correlation signatures of chiral spin liquids on the pyrochlore lattice
• Phase Transition and Monopoles Densities in a Nearest Neighbors Two-Dimensional Spin Ice Model
• Small-Network Approximations for Geometrically Frustrated Ising Systems
• Spin liquid state in a three-dimensional pyrochlore-like frustrated magnet
• Observation of Magnetic Devil's Staircase-Like Behavior in Quasiperiodic Qubit Lattices
• Thin films of the spin ice compound Ho2Ti2O7
• Flux fractionalization transition in anisotropic $S=1$ antiferromagnets and dimer-loop models
• Hearing the light: stray-field noise from the emergent photon in quantum spin ice
• Excitation spectrum and low-temperature magnetism in disordered defect-fluorite Ho2Zr2O7
• Controlling degeneracy and magnetization switching in an artificial spin ice system of peanut-shaped nanomagnets
• Various facets of magnetic charge correlation: Micromagnetic and distorted waveBorn approximation simulations study
• Waveguide QED toolboxes for universal quantum matter
• Direct Imaging of Complex Spin Ice Behavior and Ordered Sublattices in Artificial Ferromagnetic Quasicrystals
• Dynamic scaling near the Kasteleyn transition in spin ice: critical relaxation of monopoles and strings following a field quench
• Attaining the Ground State of Kagome Artificial Spin Ice via Ultrafast Site-Specific Laser Annealing
• Decorated cluster lattices: a natural framework for classical spin liquids and flat bands
• Observations of 't Hooft's sublattices and Dirac's monopole by inhomogeneous phases of solitons
• The contribution of magnetic monopoles to ponderomotive forces in plasmas
• Effect of electromagnetic permeability on transition temperature of superconductivity
• Dynamical Generation of Spin Current and Phase Slip in Exciton-Polariton Condensates