Coulomb phase diagnostics as function of temperature, interaction range and disorder

Abstract

The emergent gauge field characteristic of the Coulomb phase of spin ice betrays its existence via pinch points in the spin structure factor $\mathcal{S}$ in reciprocal space which takes the form of a transverse projector $\mathcal{P}$ at low temperature: $\mathcal{S}(q)\sim \mathcal{P}\sim q_{\perp }^2/q^2$. We develop a theory which establishes the fate of the pinch points at low and high temperature, for hard and soft spins, for short- and long-ranged (dipolar) interactions, as well as in the presence of disorder. We find that their detailed shape can be used to read off the relative sizes of entropic and magnetic Coulomb interactions of monopoles in spin ice, and we resolve the question why pinch points have been experimentally observed for Ho${}_{1.7}$Y${}_{0.3}$Ti${}_2$O${}_7$ even at high temperature in the presence of strong disorder.

4+ pages, 2 eps figures, published version

References in corpus (10)

• 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
• Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics
• Why spin ice obeys the ice rules
• Three dimensional resonating valence bond liquids and their excitations
• Observation of Magnetic Monopoles in Spin Ice
• Anomalous Behavior of Spin Systems with Dipolar Interactions
• Spin Dynamics in Pyrochlore Heisenberg Antiferromagnets
• Non-monotonic zero point entropy in diluted spin ice
• Magnetic correlations in spin ice Ho2-xYxTi2O7 as revealed by neutron polarization analysis

Cited by in corpus (23)

• Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in Pyrochlore Magnets
• Magnetic-Moment Fragmentation and Monopole Crystallization
• Refrustration and competing orders in the prototypical Dy2Ti2O7 spin ice material
• Fragmentation in Frustrated Magnets -- A review
• When opposites repel: from metastability to extended chiral spin textures in spin ice with short-range topological-defect interactions
• Emergent Electrochemistry in Spin Ice: Debye-Hückel Theory and Beyond
• Magnetic clustering, half-moons, and shadow pinch points as signals of a proximate Coulomb phase in frustrated Heisenberg magnets
• Dynamic susceptibility and dynamic correlations in spin ice
• Non-monotonic residual entropy in diluted spin ice: a comparison between Monte Carlo simulations of diluted dipolar spin ice models and experimental results
• Spin ice thin films: Large-N theory and Monte Carlo simulations
• Coulombic Charge Ice
• Rod motifs in neutron scattering in spin ice
• Charge and spin correlations in the Monopole Liquid
• Random Coulomb antiferromagnets: from diluted spin liquids to Euclidean random matrices
• Deviation from the dipole-ice model in the new spinel spin-ice candidate, MgEr${}_2$Se${}_4$
• Seeing beyond the light: Vison and photon electrodynamics in quantum spin ice
• A cluster algorithm for Monte Carlo simulations of spin ice
• Screening and the Pinch Point Paradox in Spin Ice
• Pinch-point spectral singularity from the interference of topological loop states
• Flux roughening in spin ice with mixed $\pm J$ interactions
• Gauge-Free Duality in Pure Square Spin Ice: Topological Currents and Monopoles
• The dipolar spin glass transition in three dimensions
• Spinor ice correlation in flat-band electronic states on kagome and pyrochlore lattices with spin-orbit coupling