Topological Sector Fluctuations and Curie Law Crossover in Spin Ice

Abstract

At low temperatures, a spin ice enters a Coulomb phase - a state with algebraic correlations and topologically constrained spin configurations. In Ho2Ti2O7, we have observed experimentally that this process is accompanied by a non-standard temperature evolution of the wave vector dependent magnetic susceptibility, as measured by neutron scattering. Analytical and numerical approaches reveal signatures of a crossover between two Curie laws, one characterizing the high temperature paramagnetic regime, and the other the low temperature topologically constrained regime, which we call the spin liquid Curie law. The theory is shown to be in excellent agreement with neutron scattering experiments. On a more general footing, i) the existence of two Curie laws appears to be a general property of the emergent gauge field for a classical spin liquid, and ii) sheds light on the experimental difficulty of measuring a precise Curie-Weiss temperature in frustrated materials; iii) the mapping between gauge and spin degrees of freedom means that the susceptibility at finite wave vector can be used as a local probe of fluctuations among topological sectors.

10 pages, 5 figures

References in corpus (19)

• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Dirac Strings and Magnetic Monopoles in Spin Ice Dy2Ti2O7
• Quantum magnetism in the paratacamite family: towards an ideal kagome lattice
• Low Temperature Spin Freezing in Dy2Ti2O7 Spin Ice
• Why spin ice obeys the ice rules
• Observation of Magnetic Monopoles in Spin Ice
• Theory of the [111] magnetization plateau in spin ice
• Dy2Ti2O7 Spin Ice: a Test Case for Emergent Clusters in a Frustrated Magnet
• Is the Yb2Ti2O7 pyrochlore a quantum spin ice?
• Pinch Points and Kasteleyn Transitions: How Spin Ice Changes its Entropy
• Rods of Neutron Scattering Intensity in Yb2Ti2O7: Compelling Evidence for Significant Anisotropic Exchange in a Magnetic Pyrochlore Oxide
• A Three Dimensional Kasteleyn Transition: Spin Ice in a [100] Field
• Magnetization process of spin ice in a [111] magnetic field
• Absent pinch points and emergent clusters: further neighbour interactions in the pyrochlore Heisenberg antiferromagnet
• Determination of the exchange energies in Li2VOSiO4 from a high-temperature series analysis of the square lattice J1-J2 Heisenberg model
• Classical-Quantum Mappings for Geometrically Frustrated Systems: Spin Ice in a [100] Field
• Classical Topological Order in Kagome Ice
• Magnetic correlations in spin ice Ho2-xYxTi2O7 as revealed by neutron polarization analysis
• Local Susceptibility of the Yb2Ti2O7 Rare Earth Pyrochlore Computed from a Hamiltonian with Anisotropic Exchange

Cited by in corpus (13)

• Fragmentation in Frustrated Magnets -- A review
• Curie-law crossover in spin liquids
• The multiple symmetry sustaining phase transitions of spin ice
• Ferromagnetic Coulomb phase in classical spin ice
• Violation of the fluctuation-dissipation theorem and effective temperatures in spin ice
• A cluster algorithm for Monte Carlo simulations of spin ice
• The Classical Heisenberg Model on the Centred Pyrochlore Lattice
• 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
• Neutron scattering from fragmented frustrated magnets
• Anomalous magnetic transition in a disordered quasicrystal approximant with heavy-fermion nature
• Anomalous Proximitized Transport in Metal/Quantum Magnet Heterostructure $\mathrm{B}{\mathrm{i}}_2\mathrm{I}{\mathrm{r}}_2{\mathrm{O}}_7/Y{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Flux roughening in spin ice with mixed $\pm J$ interactions