Universal monopole scaling near transitions from the Coulomb phase

Abstract

Certain frustrated systems, including spin ice and dimer models, exhibit a Coulomb phase at low temperatures, with power-law correlations and fractionalized monopole excitations. Transitions out of this phase, at which the effective gauge theory becomes confining, provide examples of unconventional criticality. This work studies the behavior at nonzero monopole density near such transitions, using scaling theory to arrive at universal expressions for the crossover phenomena. For a particular transition in spin ice, quantitative predictions are made through a duality mapping to the XY model, and confirmed using Monte Carlo simulations.

arXiv comment4.5 pages, 4 figures

References in corpus (26)

• Spin Ice State in Frustrated Magnetic Pyrochlore Materials
• Magnetic Monopoles in Spin Ice
• "Deconfined" quantum critical points
• Dirac Strings and Magnetic Monopoles in Spin Ice Dy2Ti2O7
• Quantum Excitations in Quantum Spin Ice
• The "Coulomb phase" in frustrated systems
• Spin Ice, Fractionalization and Topological Order
• Coulombic Quantum Liquids in Spin-1/2 Pyrochlores
• The critical exponents of the superfluid transition in He4
• Monte Carlo simulation of ice models
• A Three Dimensional Kasteleyn Transition: Spin Ice in a [100] Field
• Debye-Hückel theory for spin ice at low temperature
• Coulomb gas transitions in three-dimensional classical dimer models
• Gauge theory picture of an ordering transition in a dimer model
• Unconventional continuous phase transition in a three dimensional dimer model
• Phase diagram of an extended classical dimer model
• Directed geometrical worm algorithm applied to the quantum rotor model
• SU(2)-invariant continuum theory for an unconventional phase transition in a three-dimensional classical dimer model
• Classical-Quantum Mappings for Geometrically Frustrated Systems: Spin Ice in a [100] Field
• Higgs transitions of spin ice
• Deconfinement in the Two Dimensional XY Model
• Classical to quantum mapping for an unconventional phase transition in a three-dimensional classical dimer model
• Correlations and order parameter at a Coulomb-crystal phase transition in a three-dimensional dimer model
• Critical phenomena in a highly constrained classical spin system: Neel ordering from the Coulomb phase
• First- order versus unconventional phase transitions in three-dimensional dimer models
• Vortex Deconfinement in the XY Model with a Magnetic Field

Cited by in corpus (9)

• Scaling dimensions of higher-charge monopoles at deconfined critical points
• Critical behavior in the cubic dimer model at nonzero monomer density
• Confinement of monopoles and scaling theory near unconventional critical points
• Ferromagnetic Coulomb phase in classical spin ice
• Half-Magnetization Plateau of a Dipolar Spin Ice in a [100] Field
• Hall response of interacting bosonic atoms in strong gauge fields: from condensed to FQH states
• Synchronization transition in the double dimer model on the cubic lattice
• Dynamic scaling theory for a field quench near the Kasteleyn transition in spin ice
• Mean-field theory for confinement transitions and magnetization plateaux in spin ice