Intermediate magnetisation state and competing orders in Dy${}_2$Ti${}_2$O${}_7$ and Ho${}_2$Ti${}_2$O${}_7$

Abstract

Among the frustrated magnetic materials, spin-ice stands out as a particularly interesting system. Residual entropy, freezing and glassiness, Kasteleyn transitions and fractionalisation of excitations in three dimensions all stem from a simple classical Hamiltonian. But is the usual spin-ice Hamiltonian a correct description of the experimental systems? Here we address this issue by measuring magnetic susceptibility in the two most studied spin-ice compounds, Dy${}_2$Ti${}_2$O${}_7$ and Ho${}_2$Ti${}_2$O${}_7$, using a vector magnet. Using these results, and guided by a theoretical analysis of possible distortions to the pyrochlore lattice, we construct an effective Hamiltonian and explore it using Monte Carlo simulations. We show how this Hamiltonian reproduces the experimental results, including the formation of a phase of intermediate polarisation, and gives important information about the possible ground-state of real spin-ice systems. Our work suggests an unusual situation in which distortions might contribute to the preservation rather than relief of the effects of frustration.

arXiv comment27 pages, 8 figures, including supplementary information, accepted for publication in Nature Communications

References in corpus (31)

• Spin Ice State in Frustrated Magnetic Pyrochlore Materials
• Magnetic Monopoles in Spin Ice
• Spin-lattice coupling in frustrated antiferromagnets
• 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
• Spin Correlations in Ho${}_2$Ti${}_2$O${}_7$: a Dipolar Spin Ice System
• Long Range Order at Low Temperature in Dipolar Spin Ice
• Ising pyrochlore magnets: Low temperature properties, ice rules and beyond
• Geometric Frustration in Buckled Colloidal Monolayers
• Half-magnetization plateau stabilized by structural distortion in the antiferromagnetic Heisenberg model on a pyrochlore lattice
• Low Temperature Spin Freezing in Dy2Ti2O7 Spin Ice
• Thermodynamic Properties of the Dipolar Spin Ice Model
• Theory of the [111] magnetization plateau in spin ice
• Specific Heat of Kagome Ice in the Pyrochlore Oxide Dy2Ti2O7
• Dy2Ti2O7 Spin Ice: a Test Case for Emergent Clusters in a Frustrated Magnet
• A Three Dimensional Kasteleyn Transition: Spin Ice in a [100] Field
• Magnetoelastic excitations in the pyrochlore spin liquid Tb${}_2$Ti${}_2$O${}_7$
• Magnetization process of spin ice in a [111] magnetic field
• Finite Temperature Transitions in Large Magnetic Field in Dipolar Spin Ice
• Neutron Scattering Investigation of the Spin Ice State in Dy2Ti2O7
• Unconventional magnetization processes and thermal runaway in spin-ice Dy${}_2$Ti${}_2$O${}_7$
• Refrustration and competing orders in the prototypical Dy2Ti2O7 spin ice material
• Low Temperature Specific Heat of Dy${}_2$Ti${}_2$O${}_7$ in the Kagome Ice State
• Order-by-disorder in the antiferromagnetic Ising model on an elastic triangular lattice
• Charge ordering in a pure spin model: dipolar spin-ice
• Magnetocaloric Study of Spin Relaxation in `Frozen' Dipolar Spin Ice Dy2Ti2O7
• Field-Induced Transition on Triangular Plane in the Spin Ice Compound Dy2Ti2O7
• Magnetization plateaux induced by a coupling to the lattice
• Spin-phonon induced magnetic order in Kagome ice
• An intermediate state between the kagome-ice and the fully polarized state in Dy${}_2$Ti${}_2$O${}_7$

Cited by in corpus (18)

• Machine Learning Assisted Insight to Spin Ice Dy${}_2$Ti${}_2$O${}_7$
• Magnon interactions in the frustrated pyrochlore ferromagnet Yb${}_2$Ti${}_2$O${}_7$
• Magneto-elastic induced vibronic bound state in the spin ice pyrochlore Ho${}_2$Ti${}_2$O${}_7$
• Spin ice thin films: Large-N theory and Monte Carlo simulations
• The 3D Kasteleyn transition in dipolar spin ice: a numerical study with the Conserved Monopoles Algorithm
• Probing Flat Band Physics in Spin Ice Systems via Polarized Neutron Scattering
• Charge and spin correlations in the Monopole Liquid
• Magnetisation plateaux of the quantum pyrochlore Heisenberg antiferromagnet
• Structural magnetic glassiness in spin ice Dy${}_2$Ti${}_2$O${}_7$
• Investigation of the monopole magneto-chemical potential in spin ices using capacitive torque magnetometry
• Extremely slow non-equilibrium monopole dynamics in classical spin ice
• Tunable critical correlations in kagome ice
• Perfectly hidden order and Z2 confinement transition in a fully packed monopole liquid
• Monte Carlo study on the detection of classical order by disorder in real antiferromagnetic Ising pyrochlores
• Anomalous out-of-equilibrium dynamics in the spin-ice material Dy${}_2$Ti${}_2$O${}_7$ under moderate magnetic fields
• Probing ice-rule-breaking transition in $\mathrm{D}{\mathrm{y}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$ thin film by proximitized transport and magnetic torque
• Low-temperature high-frequency dynamic magnetic susceptibility of classical spin-ice Dy${}_2$Ti${}_2$O${}_7$
• Long-range Coulomb interactions and nonhydrodynamic behavior in thermal quenches in spin ice