Probing Flat Band Physics in Spin Ice Systems via Polarized Neutron Scattering

Abstract

In this paper, we illustrate how polarized neutron scattering can be used to isolate the spin-spin correlations of modes forming flat bands in a frustrated magnetic system hosting a classical spin liquid phase. In particular, we explain why the nearest-neighbor spin ice model, whose interaction matrix has two flat bands, produces a dispersionless (i.e. "flat") response in the non-spin-flip (NSF) polarized neutron scattering channel, and demonstrate that NSF scattering is a highly sensitive probe of correlations induced by weak perturbations which lift the flat band degeneracy. We use this to explain the experimentally measured dispersive (i.e. non-flat) NSF channel of the dipolar spin ice compound ${\mathrm{Ho}}_2{\mathrm{Ti}}_2{\mathrm{O}}_7$.

arXiv comment6+18 pages, 3+10 figures

References in corpus (49)

• Spin Ice State in Frustrated Magnetic Pyrochlore Materials
• Magnetic Monopoles in Spin Ice
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Artificial flat band systems: from lattice models to experiments
• Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in Pyrochlore Magnets
• Dipolar Interactions and Origin of Spin Ice in Ising Pyrochlore Magnets
• The "Coulomb phase" in frustrated systems
• Band touching from real space topology in frustrated hopping models
• Spin Ice, Fractionalization and Topological Order
• Spin Correlations in Ho${}_2$Ti${}_2$O${}_7$: a Dipolar Spin Ice System
• Dipolar spin correlations in classical pyrochlore magnets
• Long Range Order at Low Temperature in Dipolar Spin Ice
• Seeing the light : experimental signatures of emergent electromagnetism in a quantum spin ice
• Strongly correlated flat-band systems: The route from Heisenberg spins to Hubbard electrons
• Power-law spin correlations in pyrochlore antiferromagnets
• Why spin ice obeys the ice rules
• Frustrated quantum rare-earth pyrochlores
• Thermodynamic Properties of the Dipolar Spin Ice Model
• Higgs transition from a magnetic Coulomb liquid to a ferromagnet in Yb_2Ti_2O_7
• Quantum fluctuations in the effective pseudospin-1/2 model for magnetic pyrochlore oxides
• Magnetic Monopole Dynamics in Spin Ice
• Magnetic ordering in Gd2Sn2O7: the archetypal Heisenberg pyrochlore antiferromagnet
• Revisiting Static and Dynamic Spin Ice Correlations in Ho2Ti2O7
• Finite Temperature Transitions in Large Magnetic Field in Dipolar Spin Ice
• Numerical evidence of quantum melting of spin ice: quantum-classical crossover
• How quantum are classical spin ices?
• Absent pinch points and emergent clusters: further neighbour interactions in the pyrochlore Heisenberg antiferromagnet
• A spin liquid with pinch-line singularities on the pyrochlore lattice
• Competing spin liquids and hidden nematic order in spin ice with frustrated transverse exchange
• The quantum origins of moment fragmentation in Nd2Zr2O7
• Flat-band engineering in tight-binding models: Beyond the nearest-neighbor hopping
• Refrustration and competing orders in the prototypical Dy2Ti2O7 spin ice material
• Ferromagnetic Ising Spin Chains Emerging from the Spin Ice under Magnetic Field
• Spin slush in an extended spin ice model
• Of chain-based order and quantum spin liquids in dipolar spin ice
• Intermediate magnetisation state and competing orders in Dy${}_2$Ti${}_2$O${}_7$ and Ho${}_2$Ti${}_2$O${}_7$
• When opposites repel: from metastability to extended chiral spin textures in spin ice with short-range topological-defect interactions
• Low temperature specific heat and possible gap to magnetic excitations in the Heisenberg pyrochlore antiferromagnet Gd2Sn207
• Correlated Quantum Tunnelling of Monopoles in Spin Ice
• Magnetic clustering, half-moons, and shadow pinch points as signals of a proximate Coulomb phase in frustrated Heisenberg magnets
• Field-Induced Transition on Triangular Plane in the Spin Ice Compound Dy2Ti2O7
• Interplay of Dirac fermions and heavy quasiparticles in solids
• Magnetic correlations in spin ice Ho2-xYxTi2O7 as revealed by neutron polarization analysis
• 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
• Probing the Flat Band of Optically-Trapped Spin-Orbital Coupled Bose Gases Using Bragg Spectroscopy
• Rod motifs in neutron scattering in spin ice
• The 1/D Expansion for Classical Magnets: Low-Dimensional Models with Magnetic Field

Cited by in corpus (10)

• Spectroscopic signatures of fractionalization in octupolar quantum spin ice
• Competing Gauge Fields and Entropically-Driven Spin Liquid to Spin Liquid Transition in non-Kramers Pyrochlores
• A Classical Chiral Spin-Liquid from Chiral Interactions on the Pyrochlore Lattice
• Fragmented spin ice and multi-$k$ ordering in rare-earth antiperovskites
• Higher-Rank Spin Liquids and Spin Nematics from Competing Orders in Pyrochlore Magnets
• 2-Form U(1) Spin Liquids: Classical Model and Quantum Aspects
• Quantum effects on pyrochlore higher-rank U(1) spin liquids: Pinch-line singularities, spin nematics, and connections to oxide materials
• Spinor ice correlation in flat-band electronic states on kagome and pyrochlore lattices with spin-orbit coupling
• Anisotropic Spin Ice on a Breathing Pyrochlore Lattice
• Quantum Coulomb Liquids of Different Rank in the Breathing Pyrochlore Antiferromagnet