Magnetic Monopole Dynamics in Spin Ice

Abstract

One of the most remarkable examples of emergent quasi-particles, is that of the "fractionalization" of magnetic dipoles in the low energy configurations of materials known as "spin ice", into free and unconfined magnetic monopoles interacting via Coulomb's 1/r law [Castelnovo et. al., Nature, 451, 42-45 (2008)]. Recent experiments have shown that a Coulomb gas of magnetic charges really does exist at low temperature in these materials and this discovery provides a new perspective on otherwise largely inaccessible phenomenology. In this paper, after a review of the different spin ice models, we present detailed results describing the diffusive dynamics of monopole particles starting both from the dipolar spin ice model and directly from a Coulomb gas within the grand canonical ensemble. The diffusive quasi-particle dynamics of real spin ice materials within "quantum tunneling" regime is modeled with Metropolis dynamics, with the particles constrained to move along an underlying network of oriented paths, which are classical analogues of the Dirac strings connecting pairs of Dirac monopoles.

26 pages, 12 figures

References in corpus (10)

• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Dirac Strings and Magnetic Monopoles in Spin Ice Dy2Ti2O7
• The "Coulomb phase" in frustrated systems
• Low Temperature Spin Freezing in Dy2Ti2O7 Spin Ice
• Why spin ice obeys the ice rules
• Observation of Magnetic Monopoles in Spin Ice
• Dy2Ti2O7 Spin Ice: a Test Case for Emergent Clusters in a Frustrated Magnet
• Pinch Points and Kasteleyn Transitions: How Spin Ice Changes its Entropy
• Activated aging dynamics and negative fluctuation-dissipation ratios
• High-temperature spin relaxation process in Dy${}_2$Ti${}_2$O${}_7$ probed by ${}^{47}$Ti-NQR

Cited by in corpus (68)

• Magnetic-Moment Fragmentation and Monopole Crystallization
• Debye-Hückel theory for spin ice at low temperature
• Brownian Motion and Quantum Dynamics of Magnetic Monopoles in Spin Ice
• Magnetic Monopole Noise
• Candidate quantum spin ice in the pyrochlore Pr${}_2$Hf${}_2$O${}_7$
• Bosonic Many-body Theory of Quantum Spin Ice
• Spin slush in an extended spin ice model
• New physics in frustrated magnets: Spin ices, monopoles, etc
• A Supercooled Spin Liquid State in the Frustrated Pyrochlore Dy2Ti2O7
• Monopoles, magnetricity and the stray field from spin ice
• Dynamical fractal and anomalous noise in a clean magnetic crystal
• Experimental signature of the attractive Coulomb force between positive and negative magnetic monopoles in spin ice
• Defect Dynamics in Artificial Colloidal Ice: Real-Time Observation, Manipulation and Logic Gate
• When opposites repel: from metastability to extended chiral spin textures in spin ice with short-range topological-defect interactions
• Emergent Electrochemistry in Spin Ice: Debye-Hückel Theory and Beyond
• Correlated Quantum Tunnelling of Monopoles in Spin Ice
• Thermal Conductivity and Specific Heat of the Spin-Ice Compound Dy${}_2$Ti${}_2$O${}_7$: Experimental Evidence for Monopole Heat Transport
• Fragmented monopole crystal, dimer entropy and Coulomb interactions in Dy${}_2$Ir${}_2$O${}_7$
• AC Wien effect in spin ice, manifest in non-linear non-equilibrium susceptibility
• Dirac quantisation condition: a comprehensive review
• Anomalous magnetic noise in imperfect flat bands in the topological magnet Dy2Ti2O7
• Monopole ordered phases in dipolar and nearest-neighbours Ising pyrochlore: from spin ice to the "all-in--all-out" antiferromagnet
• Melting of Spin Ice state through structural disorder in Dy2Zr2O7
• Ultrasonic investigations of spin-ices Dy${}_2$Ti${}_2$O${}_7$ and Ho${}_2$Ti${}_2$O${}_7$ in and out of equilibrium
• Generalised Longitudinal Susceptibility for Magnetic Monopoles in Spin Ice
• An irreversible magnetic-field dependence of low-temperature heat transport of spin-ice compound Dy_2Ti_2O_7 in a [111] field
• Monopole holes in a partially ordered spin liquid
• Spinon walk in quantum spin ice
• Evidence for a dynamical ground state in a frustrated pyrohafnate Tb2Hf2O7
• Common Glass-Forming Spin-Liquid State in the Pyrochlore Magnets Dy${}_2$Ti${}_2$O${}_7$ and Ho${}_2$Ti${}_2$O${}_7$
• Monopolar and dipolar relaxation in spin ice Ho${}_2$Ti${}_2$O${}_7$
• Anisotropic Monopole Heat Transport in the Spin-Ice Compound Dy${}_2$Ti${}_2$O${}_7$
• Emergent Coulombic criticality and Kibble-Zurek scaling in a topological magnet
• Low-temperature thermal conductivity of Dy_2Ti_2O_7 and Yb_2Ti_2O_7 single crystals
• Dipolar spin ice states with fast monopole hopping rate in CdEr${}_2$X${}_4$ (X = Se, S)
• Domain Wall Spin Dynamics in Kagome Antiferromagnets
• Monte Carlo based techniques for quantum magnets with long-range interactions
• Dipolar Spin Ice Under Uniaxial Pressure
• Spectroscopy of spinons in Coulomb quantum spin liquids
• Low-temperature heat transport of the geometrically frustrated antiferromagnets R_2Ti_2O_7 (R = Gd and Er)
• Probing Flat Band Physics in Spin Ice Systems via Polarized Neutron Scattering
• Modification of Spin Ice Physics in Ho${}_2$Ti${}_2$O${}_7$ Thin Films
• Fragmented spin ice and multi-$k$ ordering in rare-earth antiperovskites
• Structural magnetic glassiness in spin ice Dy${}_2$Ti${}_2$O${}_7$
• Violation of the fluctuation-dissipation theorem and effective temperatures in spin ice
• A cluster algorithm for Monte Carlo simulations of spin ice
• Field-Induced Ordering in Dipolar Spin Ice
• Extremely slow non-equilibrium monopole dynamics in classical spin ice
• The Concept of Spin Ice Graphs and a Field Theory for their Topological Monopoles and Charges
• Magnetic field and thermal Hall effect in a pyrochlore U(1) quantum spin liquid
• Dichotomous Dynamics of Magnetic Monopole Fluids
• [111]-strained spin ice: Localization of thermodynamically deconfined monopoles
• Thermodynamics and fractal dynamics of nematic spin ice, a doubly frustrated pyrochlore Ising magnet
• Tuning interactions in the spin-ice materials Dy${}_2$Ge${}_{2-x}$Si${}_x$O${}_7$ by silicon substitution
• ${\mathbb{Z}}_2$ vortices in the ground states of classical Kitaev-Heisenberg models
• Magnetic field tuning of crystal field levels and vibronic states in Spin-ice Ho${}_2$Ti${}_2$O${}_7$ observed in far-infrared reflectometry
• Persistent dynamic magnetic state in artificial honeycomb spin ice
• Hysteresis and Relaxation Effects in the Spin-Ice Compound Dy${}_2$Ti${}_2$O${}_7$ studied by Heat Transport
• Exploring possible magnetic monopoles-induced magneto-electricity in spin ices
• The design, verification, and applications of Hotspice: a Monte Carlo simulator for artificial spin ice
• Power spectrum of magnetic relaxation in spin ice: anomalous diffusion in a Coulomb fluid
• 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
• Crossover from string to cluster dynamics following a field quench in spin ice
• Magnetic monopole relaxation effects in spin ice Dy${}_2$Ti${}_2$O${}_7$
• Long-range Coulomb interactions and nonhydrodynamic behavior in thermal quenches in spin ice
• Ferromagnetic fragmented state in the pyrochlore Ho${}_2$Ru${}_2$O${}_7$
• Excitation spectrum and low-temperature magnetism in disordered defect-fluorite Ho2Zr2O7
• Dynamic scaling near the Kasteleyn transition in spin ice: critical relaxation of monopoles and strings following a field quench