Spin ice in a field: quasi-phases and pseudo-transitions

Abstract

Thermodynamics of the short-range model of spin ice magnets in a field is considered in the Bethe - Peierls approximation. The results obtained for [111], [100] and [011] fields agrees reasonably well with the existing Monte-Carlo simulations and some experiments. In this approximation all extremely sharp field-induced anomalies are described by the analytical functions of temperature and applied field. In spite of the absence of true phase transitions the analysis of the entropy and specific heat reliefs over H-T plane allows to discern the "pseudo-phases" with specific character of spin fluctuations and define the lines of more or less sharp "pseudo-transitions" between them.

18 pages, 16 figures

References in corpus (4)

• Magnetic Pyrochlore Oxides
• Why spin ice obeys the ice rules
• A Three Dimensional Kasteleyn Transition: Spin Ice in a [100] Field
• Magnetization process of spin ice in a [111] magnetic field

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• Towards low-temperature peculiarities of thermodynamic quantities for decorated spin chains
• Ultrasonic investigations of spin-ices Dy${}_2$Ti${}_2$O${}_7$ and Ho${}_2$Ti${}_2$O${}_7$ in and out of equilibrium
• A conjecture on the relationship between critical residual entropy and finite temperature pseudo-transitions of one-dimensional models
• Quantum entanglement in the neighborhood of pseudo-transition for a spin-1/2 Ising-XYZ diamond chain
• Acoustic signatures of the phases and phase transitions in Yb${}_2$Ti${}_2$O${}_7$
• Detecting quantum critical points at finite temperature via quantum teleportation
• Statistical mechanics of high-density bond percolation
• The Effect of Defects on Magnetic Droplet Nucleation
• Finite size effects around pseudo-transition in one-dimensional models with nearest neighbor interaction
• Statistics of geometric clusters in the Ising model on a Bethe lattice: statistical mechanics approach
• Clusters' size-degree distribution for bond percolation
• Spectral mechanism and nearly reducible transfer matrices for pseudotransitions in one-dimensional systems