Dynamic scaling near the Kasteleyn transition in spin ice: critical relaxation of monopoles and strings following a field quench

Abstract

We study dynamics in classical spin ice following a magnetic field quench to close to the Kasteleyn transition, using Monte Carlo simulations and dynamic scaling theory to characterize the relaxation of the magnetization and the density of magnetic monopoles. We have previously argued that this dynamics can be described in terms of seeding and growth of strings of flipped spins, and our results here demonstrate that a solvable stochastic model based on independent strings correctly describes the relaxation as well as the distribution of string lengths within the critical scaling regime near the transition. We also show how generalized scaling forms capture the behavior over a broader range of monopole densities and provide a clear understanding of the breakdown of the scaling picture further from the critical point.

21 pages, 26 figures, accepted by Phys Rev B

References in corpus (23)

• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Dirac Strings and Magnetic Monopoles in Spin Ice Dy2Ti2O7
• Universal adiabatic dynamics across a quantum critical point
• Approximation and inference methods for stochastic biochemical kinetics - a tutorial review
• Low Temperature Spin Freezing in Dy2Ti2O7 Spin Ice
• Theory of the [111] magnetization plateau in spin ice
• A Three Dimensional Kasteleyn Transition: Spin Ice in a [100] Field
• A non-equilibrium superradiant phase transition in free space
• Anomalous Hall Effects of Light and Chiral Edge Modes on the Kagome Lattice
• Phase transitions out of quantum Hall states in moiré materials
• Dynamical fractal and anomalous noise in a clean magnetic crystal
• Classical-Quantum Mappings for Geometrically Frustrated Systems: Spin Ice in a [100] Field
• Observation of string breaking on a (2 + 1)D Rydberg quantum simulator
• Dynamic behavior of magnetic avalanches in the spin-ice compound Dy${}_2$Ti${}_2$O${}_7$
• Tension-free Dirac strings and steered magnetic charges in 3D artificial spin ice
• Quantum spin ice in three-dimensional Rydberg atom arrays
• Ferromagnetic Coulomb phase in classical spin ice
• Violation of the fluctuation-dissipation theorem and effective temperatures in spin ice
• Perfectly hidden order and Z2 confinement transition in a fully packed monopole liquid
• Quantum frustrated Wigner chains
• Crossover from string to cluster dynamics following a field quench in spin ice
• Dynamic scaling theory for a field quench near the Kasteleyn transition in spin ice