Refrustration and competing orders in the prototypical Dy2Ti2O7 spin ice material

Abstract

Spin ices, frustrated magnetic materials analogous to common water ice, are exemplars of high frustration in three dimensions. Recent experimental studies of the low-temperature properties of the paradigmatic Dy${}_2$Ti${}_2$O${}_7$ spin ice material, in particular whether the predicted transition to long-range order occurs, raise questions as per the currently accepted microscopic model of this system. In this work, we combine Monte Carlo simulations and mean-field theory calculations to analyze data from magnetization, elastic neutron scattering and specific heat measurements on Dy${}_2$Ti${}_2$O${}_7$. We also reconsider the possible importance of the nuclear specific heat, $C_{\mathrm{nuc}}$, in Dy${}_2$Ti${}_2$O${}_7$. We find that $C_{\mathrm{nuc}}$ is not entirely negligible below a temperature $\sim 0.5$ K and must be taken into account in a quantitative analysis of the calorimetric data of this compound below that temperature. We find that small effective exchange interactions compete with the magnetostatic dipolar interaction responsible for the main spin ice phenomenology. This causes an unexpected "refrustration" of the long-range order that would be expected from the incompletely self-screened dipolar interaction and which positions the material at the boundary between two competing classical long-range ordered ground states. This allows for the manifestation of new physical low-temperature phenomena in Dy${}_2$Ti${}_2$O${}_7$, as exposed by recent specific heat measurements. We show that among the four most likely causes for the observed upturn of the specific heat at low temperature -- an exchange-induced transition to long-range order, quantum non-Ising (transverse) terms in the effective spin Hamiltonian, the nuclear hyperfine contribution and random disorder -- only the last appears to be reasonably able to explain the calorimetric data.

24 pages, 18 figures. To appear in Physical Review B

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• Topological frustration of artificial spin ice
• Machine Learning Assisted Insight to Spin Ice Dy${}_2$Ti${}_2$O${}_7$
• Vogel-Fulcher-Tammann Freezing of a Thermally Fluctuating Artificial Spin Ice Probed by X-ray Photon Correlation Spectroscopy
• Pauling entropy, metastability and equilibrium in Dy${}_2$Ti${}_2$O${}_7$ spin ice
• 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${}_7$
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• Magnon interactions in the frustrated pyrochlore ferromagnet Yb${}_2$Ti${}_2$O${}_7$
• Proposal for the Detection of Magnetic Monopoles in Spin Ice via Nanoscale Magnetometry
• Melting of Spin Ice state through structural disorder in Dy2Zr2O7
• Special temperatures in frustrated ferromagnets
• Reentrance of disorder in the anisotropic shuriken Ising model
• Dipolar spin ice states with fast monopole hopping rate in CdEr${}_2$X${}_4$ (X = Se, S)
• Spin ice thin films: Large-N theory and Monte Carlo simulations
• The multiple symmetry sustaining phase transitions of spin ice
• Microscopic Aspects of Magnetic Lattice Demagnetizing Factors
• Dipolar Spin Ice Under Uniaxial Pressure
• Charge and spin correlations in the Monopole Liquid
• Probing Flat Band Physics in Spin Ice Systems via Polarized Neutron Scattering
• Fragmented spin ice and multi-$k$ ordering in rare-earth antiperovskites
• Effects of uniaxial pressure on the spin ice Ho2Ti2O7
• Structural magnetic glassiness in spin ice Dy${}_2$Ti${}_2$O${}_7$
• Exchange coupling of a perpendicular ferromagnet to a half-metallic compensated ferrimagnet via a thin hafnium interlayer
• Field induced spin freezing and low temperature heat capacity of disordered pyrochlore oxide Ho${}_2$Zr${}_2$O${}_7$
• Field-Induced Ordering in Dipolar Spin Ice
• Investigation of the monopole magneto-chemical potential in spin ices using capacitive torque magnetometry
• Extremely slow non-equilibrium monopole dynamics in classical spin ice
• Spin ice in a general applied magnetic field: Kasteleyn transition, magnetic torque and rotational magnetocaloric effect
• 2-Form U(1) Spin Liquids: Classical Model and Quantum Aspects
• Tunable critical correlations in kagome ice
• Tuning interactions in the spin-ice materials Dy${}_2$Ge${}_{2-x}$Si${}_x$O${}_7$ by silicon substitution
• Anomalous out-of-equilibrium dynamics in the spin-ice material Dy${}_2$Ti${}_2$O${}_7$ under moderate magnetic fields
• Crossover between tricritical and Lifshitz points in pyrochlore FeF${}_3$
• Universal dynamics of magnetic monopoles in two-dimensional kagomé ice
• Mean-field theory for confinement transitions and magnetization plateaux in spin ice
• Long-range Coulomb interactions and nonhydrodynamic behavior in thermal quenches in spin ice
• Low-temperature high-frequency dynamic magnetic susceptibility of classical spin-ice Dy${}_2$Ti${}_2$O${}_7$
• Magnetic monopole relaxation effects in spin ice Dy${}_2$Ti${}_2$O${}_7$
• Ferromagnetic fragmented state in the pyrochlore Ho${}_2$Ru${}_2$O${}_7$
• The large-$m$ limit, and spin liquid correlations in kagome-like spin models