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 ${\mathrm{Ho}}_2{\mathrm{Ti}}_2{\mathrm{O}}_7$.

6+18 pages, 3+10 figures

References in corpus (10)

• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Strongly correlated flat-band systems: The route from Heisenberg spins to Hubbard electrons
• Why spin ice obeys the ice rules
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• Absent pinch points and emergent clusters: further neighbour interactions in the pyrochlore Heisenberg antiferromagnet
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• Low temperature specific heat and possible gap to magnetic excitations in the Heisenberg pyrochlore antiferromagnet Gd2Sn207
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• Probing the Flat Band of Optically-Trapped Spin-Orbital Coupled Bose Gases Using Bragg Spectroscopy
• Rod motifs in neutron scattering in spin ice

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