A Three Dimensional Kasteleyn Transition: Spin Ice in a [100] Field

Abstract

We examine the statistical mechanics of spin-ice materials with a [100] magnetic field. We show that the approach to saturated magnetisation is, in the low-temperature limit, an example of a 3D Kasteleyn transition, which is topological in the sense that magnetisation is changed only by excitations that span the entire system. We study the transition analytically and using a Monte Carlo cluster algorithm, and compare our results with recent data from experiments on Dy2Ti2O7.

4 pages, 5 figures

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Cited by in corpus (67)

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• Dirac Strings and Magnetic Monopoles in Spin Ice Dy2Ti2O7
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• The "Coulomb phase" in frustrated systems
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• Signature of magnetic monopole and Dirac string dynamics in spin ice
• Magnetic-Moment Fragmentation and Monopole Crystallization
• Anderson localisation in tight-binding models with flat bands
• Thermal phase transitions in Artificial Spin-Ice
• Quantum strings in quantum spin ice
• Topological Sector Fluctuations and Curie Law Crossover in Spin Ice
• Spin ice under pressure: symmetry enhancement and infinite order multicriticality
• New physics in frustrated magnets: Spin ices, monopoles, etc
• Fragmentation in Frustrated Magnets -- A review
• Intermediate magnetisation state and competing orders in Dy${}_2$Ti${}_2$O${}_7$ and Ho${}_2$Ti${}_2$O${}_7$
• Topological aspects of symmetry breaking in triangular-lattice Ising antiferromagnets
• Magnetic clustering, half-moons, and shadow pinch points as signals of a proximate Coulomb phase in frustrated Heisenberg magnets
• Field induced spin ice like orders in spin liquid Tb${}_2$Ti${}_2$O${}_7$
• Classical-Quantum Mappings for Geometrically Frustrated Systems: Spin Ice in a [100] Field
• Crystal Shape-Dependent Magnetic Susceptibility and Curie Law Crossover in the Spin Ices Dy2Ti2O7 and Ho2Ti2O7
• Higgs transitions of spin ice
• Spin Ice Thin Film: Surface Ordering, Partial Magnetic Wetting and Emergent Square Ice
• Classical to quantum mapping for an unconventional phase transition in a three-dimensional classical dimer model
• Investigation of the magnetic fluctuations in Tb${}_2$Sn${}_2$O${}_7$ ordered spin ice by high resolution energy-resolved neutron scattering
• Ultrasonic investigations of spin-ices Dy${}_2$Ti${}_2$O${}_7$ and Ho${}_2$Ti${}_2$O${}_7$ in and out of equilibrium
• Monopole holes in a partially ordered spin liquid
• Curie-law crossover in spin liquids
• Dynamic behavior of magnetic avalanches in the spin-ice compound Dy${}_2$Ti${}_2$O${}_7$
• Spin ice in a field: quasi-phases and pseudo-transitions
• Intrinsic and extrinsic nonstationary field-driven processes in the spin-ice compound Dy2Ti2O7
• 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
• Confinement of monopoles and scaling theory near unconventional critical points
• Maxwell electromagnetism as an emergent phenomenon in condensed matter
• Static properties of 2D spin-ice as a sixteen-vertex model
• Classical topological order of the Rys F-model and its breakdown in realistic spin ice: Topological sectors of Faraday loops
• Ferromagnetic Coulomb phase in classical spin ice
• The 3D Kasteleyn transition in dipolar spin ice: a numerical study with the Conserved Monopoles Algorithm
• The Kasteleyn transition in three dimensions: spin ice in a [100] field
• The Polarized Monopole Liquid: a Coulomb phase in a fluid of magnetic charges
• Fragmented spin ice and multi-$k$ ordering in rare-earth antiperovskites
• Emergence of cooperative dynamics in fully packed classical dimers
• Universal monopole scaling near transitions from the Coulomb phase
• Proton strings and rings in atypical nucleation of ferroelectricity in ice
• Half-Magnetization Plateau of a Dipolar Spin Ice in a [100] Field
• A cluster algorithm for Monte Carlo simulations of spin ice
• Polarization Plateaus in Hexagonal Water Ice $I_h$
• Field-Induced Ordering in Dipolar Spin Ice
• A generalized Monte Carlo loop algorithm for frustrated Ising models
• Mean-field phase diagram and spin glass phase of the dipolar Kagome Ising antiferromagnet
• Quantum order by disorder in a semiclassical spin ice
• Spin ice in a general applied magnetic field: Kasteleyn transition, magnetic torque and rotational magnetocaloric effect
• Synchronization transition in the double dimer model on the cubic lattice
• Tunable critical correlations in kagome ice
• Entropy as a function of magnetization for a 2D spin-ice model exhibiting a Kasteleyn transition
• Quantum Kasteleyn transition
• Perfectly hidden order and Z2 confinement transition in a fully packed monopole liquid
• Anomalous out-of-equilibrium dynamics in the spin-ice material Dy${}_2$Ti${}_2$O${}_7$ under moderate magnetic fields
• Crossover from string to cluster dynamics following a field quench in spin ice
• Flux roughening in spin ice with mixed $\pm J$ interactions
• Magnetic charge injection in spin ice: a new way to fragmentation
• Exploring possible magnetic monopoles-induced magneto-electricity in spin ices
• Dynamic scaling theory for a field quench near the Kasteleyn transition in spin ice
• Geometrically frustrated antiferromagnets: statistical mechanics and dynamics
• Mean-field theory for confinement transitions and magnetization plateaux in spin ice
• Dynamic scaling near the Kasteleyn transition in spin ice: critical relaxation of monopoles and strings following a field quench
• Anisotropic Spin Ice on a Breathing Pyrochlore Lattice