The 3D Kasteleyn transition in dipolar spin ice: a numerical study with the Conserved Monopoles Algorithm

Abstract

We study the three-dimensional Kasteleyn transition in both nearest neighbours and dipolar spin ice models using an algorithm that conserves the number of excitations. We first limit the interactions range to nearest neighbours to test the method in the presence of a field applied along $[100]$, and then focus on the dipolar spin ice model. The effect of dipolar interactions, which is known to be greatly self screened at zero field, is particularly strong near full polarization. It shifts the Kasteleyn transition to lower temperatures, which decreases $\approx 0.4K$ for the parameters corresponding to the best known spin ice materials, $D{y}_{2}T{i}_2{O}_7$ and $H{o}_{2}T{i}_2{O}_7$. This shift implies effective dipolar fields as big as $0.05$ tesla opposing the applied field, and thus favoring the creation of "strings" of reversed spins. We compare the reduction in the transition temperature with results in previous experiments, and study the phenomenon quantitatively using a simple molecular field approach. Finally, we relate the presence of the effective residual field to the appearance of string-ordered phases at low fields and temperatures, and we check numerically that for fields applied along $[100]$ there are only three different stable phases at zero temperature.

arXiv commentAccepted for publication in Journal of Physics: Condensed Matter

References in corpus (19)

• Spin Ice State in Frustrated Magnetic Pyrochlore Materials
• Magnetic Monopoles in Spin Ice
• Dirac Strings and Magnetic Monopoles in Spin Ice Dy2Ti2O7
• Dipolar Interactions and Origin of Spin Ice in Ising Pyrochlore Magnets
• Signature of magnetic monopole and Dirac string dynamics in spin ice
• Dipolar spin correlations in classical pyrochlore magnets
• Long Range Order at Low Temperature in Dipolar Spin Ice
• Power-law spin correlations in pyrochlore antiferromagnets
• Thermodynamic Properties of the Dipolar Spin Ice Model
• Theory of the [111] magnetization plateau in spin ice
• Monte Carlo simulation of ice models
• A Three Dimensional Kasteleyn Transition: Spin Ice in a [100] Field
• Quantum-Classical Reentrant Relaxation Crossover in Dy2Ti2O7 Spin-Ice
• Charge ordering in a pure spin model: dipolar spin-ice
• Intermediate magnetisation state and competing orders in Dy${}_2$Ti${}_2$O${}_7$ and Ho${}_2$Ti${}_2$O${}_7$
• Thermodynamics of the classical spin-ice model with nearest neighbour interactions using the Wang-Landau algorithm
• 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
• Half-Magnetization Plateau of a Dipolar Spin Ice in a [100] Field

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• Tunable critical correlations in kagome ice
• Perfectly hidden order and Z2 confinement transition in a fully packed monopole liquid