Quantum Excitations in Quantum Spin Ice

Abstract

Recent work has highlighted remarkable effects of classical thermal fluctuations in the dipolar spin ice compounds, such as "artificial magnetostatics", manifesting as Coulombic power-law spin correlations and particles behaving as diffusive "magnetic monopoles". In this paper, we address quantum spin ice, giving a unifying framework for the study of magnetism of a large class of magnetic compounds with the pyrochlore structure, and in particular discuss Yb2Ti2O7 and extract its full set of Hamiltonian parameters from high field inelastic neutron scattering experiments. We show that fluctuations in Yb2Ti2O7 are strong, and that the Hamiltonian may support a Coulombic "Quantum Spin Liquid" ground state in low field and host an unusual quantum critical point at larger fields. This appears consistent with puzzling features in prior experiments on Yb2Ti2O7. Thus Yb2Ti2O7 is the first quantum spin liquid candidate in which the Hamiltonian is quantitatively known.

16 pages, 3 figures, 14 Supplementary Information pages, 3 supplementary figures

References in corpus (7)

• "Deconfined" quantum critical points
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Dynamically-Induced Frustration as a Route to a Quantum Spin Ice State in Tb2Ti2O7 via Virtual Crystal Field Excitations and Quantum Many-Body Effects
• Unusual liquid state of hard-core bosons on the pyrochlore lattice
• Rods of Neutron Scattering Intensity in Yb2Ti2O7: Compelling Evidence for Significant Anisotropic Exchange in a Magnetic Pyrochlore Oxide
• Structural distortion and the spin liquid state in Tb2Ti2O7
• Local Susceptibility of the Yb2Ti2O7 Rare Earth Pyrochlore Computed from a Hamiltonian with Anisotropic Exchange

Cited by in corpus (322)

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• Definitive Evidence for Order-by-Quantum-Disorder in Er2Ti2O7
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• The Chemistry of Quantum Spin Liquids
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• Neutron Spectroscopic Study of Crystalline Electric Field Excitations in Stochiometric and Lightly Stuffed Yb2Ti2O7
• The Spinon Fermi Surface U(1) Spin Liquid in a Spin-Orbit-Coupled Triangular Lattice Mott Insulator YbMgGaO4
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• Magnetic monopole condensation in pyrochlore ice quantum spin liquid: application to Pr2Ir2O7 and Yb2Ti2O7
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• Refrustration and competing orders in the prototypical Dy2Ti2O7 spin ice material
• Structural and Magnetic Investigations of Single-Crystals of the Neodymium Zirconate Pyrochlore, Nd2Zr2O7
• Magnetic Couplings in Edge-Sharing High-Spin $d^7$ Compounds
• Gapless quantum excitations from an Ice-like Splayed Ferromagnetic ground state in stoichiometric Yb2Ti2O7
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• Low-Energy Excitations and Ground State Selection in Quantum Breathing Pyrochlore Antiferromagnet Ba${}_3$Yb${}_2$Zn${}_5$O${}_{11}$
• Neutron spectroscopic study of crystal field excitations in Tb2Ti2O7 and Tb2Sn2O7
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• New physics in frustrated magnets: Spin ices, monopoles, etc
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• The Spectral Periodicity of Spinon Continuum in Quantum Spin Ice
• Bold Diagrammatic Monte Carlo technique for frustrated spin systems
• Novel Strongly Spin-Orbit Coupled Quantum Dimer Magnet: Yb${}_2$Si${}_2$O${}_7$
• Spin order and dynamics in the diamond-lattice Heisenberg antiferromagnets CuRh2O4 and CoRh2O4
• Dirac's "magnetic monopole" in pyrochlore ice U(1) spin liquids: Spectrum and classification
• Vibrating-coil magnetometry of the spin liquid properties of Tb2Ti2O7
• The Emergent Fine Structure Constant of Quantum Spin Ice Is Large
• Of chain-based order and quantum spin liquids in dipolar spin ice
• Fragmentation in Frustrated Magnets -- A review
• Nature of finite-temperature transition in anisotropic pyrochlore Er2Ti2O7
• Highly-anisotropic exchange interactions of $j_{\mathrm{eff}}=1/2$ iridium moments on the fcc lattice in La${}_{2}B$IrO${}_6$ ($B$ $=$ Mg, Zn)
• Order from structural disorder in $XY$ pyrochlore antiferromagnet $\mathrm{E}{\mathrm{r}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Universal Dynamic Magnetism in Yb-Pyrochlores with Disparate Ground States
• Cluster-glass phase in pyrochlore XY antiferromagnets with quenched disorder
• Entanglement Entropy of U(1) Quantum Spin Liquids
• LiYbSe2: Frustrated Magnetism in a New Pyrochlore Lattice
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• Frustrated Magnetism in Fluoride and Chalcogenide Pyrochlore Lattice Materials
• Quantum versus Classical Spin Fragmentation in Dipolar Kagome Ice Ho3Mg2Sb3O14
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• Unravelling competing microscopic interactions at a phase boundary: a single crystal study of the metastable antiferromagnetic pyrochlore Yb${}_2$Ge${}_2$O${}_7$
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• Spin dynamics of the ordered dipolar-octupolar pseudospin-${}^1{/}_2$ pyrochlore Nd${}_2$Zr${}_2$O${}_7$ probed by muon spin relaxation
• Frustrated Heisenberg $J_1-J_2$ model within the stretched diamond lattice of LiYbO2
• Multiferroicity in spin ice: towards a magnetic crystallography of Tb2Ti2O7 in a field
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• Crystal Field Excitations in Breathing Pyrochlore Antiferromagnet Ba3Yb2Zn5O11
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• Magnetisation process in Er2Ti2O7 and Tb2Ti2O7 at very low temperature
• Discovery of Emergent Photon and Monopoles in a Quantum Spin Liquid
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• Pr${}_2$Ir${}_2$O${}_7$: when Luttinger semimetal meets Melko-Hertog-Gingras spin ice state
• Spin liquid state in a rare-earth hyperkagome lattice
• Phase Competition in the Palmer-Chalker XY Pyrochlore Er${}_2$Pt${}_2$O${}_7$
• Quantum Phases in the Honeycomb-Lattice $J_1$--$J_3$ Ferro-Antiferromagnetic Model
• Classical and quantum phases of the pyrochlore $S=1/2$ magnet with Heisenberg and Dzyaloshinskii-Moriya interactions
• Spin excitations in the quantum dipolar magnet Yb(BaBO${}_3$)${}_3$
• Projective symmetry group classification of chiral ${\mathbb{Z}}_2$ spin liquids on the pyrochlore lattice: application to the spin-$1/2$ XXZ Heisenberg model
• Theory of magnetostriction for multipolar quantum spin ice in pyrochlore materials
• Curie-law crossover in spin liquids
• A Candidate for the Quantum Spin Liquid Ground-State in the Shastry-Sutherland Lattice Material Yb${}_2$Be${}_2$GeO${}_7$
• Symmetric $\mathrm{U}(1)$ and ${\mathbb{Z}}_2$ spin liquids on the pyrochlore lattice
• Determining Kitaev interaction in spin-$S$ honeycomb Mott insulators
• Hydrogenic states of monopoles in diluted quantum spin ice
• Acoustic signatures of the phases and phase transitions in Yb${}_2$Ti${}_2$O${}_7$
• Spinon walk in quantum spin ice
• Magnetic Excitations in the Ground State of $\mathrm{Y}{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Scattering Signatures of Bond-Dependent Magnetic Interactions
• Ab initio determination of spin Hamiltonians with anisotropic exchange interactions: the case of the pyrochlore ferromagnet Lu${}_2$V${}_2$O${}_7$
• Spectrum of itinerant fractional excitations in quantum spin ice
• Spin freezing in the disordered pyrochlore magnet NaCaCo${}_2$F${}_7$: NMR studies and Monte-Carlo simulations
• Honeycomb rare-earth magnets with anisotropic exchange interactions
• Frustrated magnetism in the Heisenberg pyrochlore antiferromagnets $A$Yb${}_2$$X$${}_4$ ($A$ = Cd, Mg, $X$ = S, Se)
• Single crystal growth, structure and magnetic properties of Pr2Hf2O7 pyrochlore
• Low-temperature thermal conductivity of Dy_2Ti_2O_7 and Yb_2Ti_2O_7 single crystals
• Magnetization plateaux cascade in the frustrated quantum antiferromagnet Cs${}_2$CoBr${}_4$
• Antiferromagnetism and crystalline-electric field excitations in tetragonal NaCeO2
• Proximate Dirac spin liquid in honeycomb lattice $J_1$-$J_3$ XXZ model: Numerical study and application to cobaltates
• Magnetic dilution and domain selection in the XY pyrochlore antiferromagnet Er${}_2$Ti${}_2$O${}_7$
• Competing quantum spin liquids, gauge fluctuations, and anisotropic interactions in a breathing pyrochlore lattice
• Tripartite entangled plaquette state in a cluster magnet
• Enhanced symmetry-breaking tendencies in the $S=1$ pyrochlore antiferromagnet
• Understanding Reentrance in Frustrated Magnets: the Case of the Er${}_2$Sn${}_2$O${}_7$ Pyrochlore
• Fingerprints of quantum spin ice in Raman scattering
• Strong quantum fluctuations due to competition between magnetic phases in a pyrochlore iridate
• Extended Coulomb liquid of paired hardcore boson model on a pyrochlore lattice
• Spectroscopy of spinons in Coulomb quantum spin liquids
• Free coherent spinons in quantum square ice
• Topological thermal Hall effect of "magnetic monopoles" in pyrochlore U(1) spin liquid
• Effective point-charge analysis of crystal electric fields -- application to rare-earth pyrochlores and tripod kagome magnets R3Mg2Sb3O14
• Absence of moment fragmentation in the mixed $B$-site pyrochlore Nd${}_2$GaSbO${}_7$
• Semi-classical Approach to Quantum Spin Ice
• Confinement of monopoles and scaling theory near unconventional critical points
• Magnon interactions in the quantum paramagnetic phase of CoNb${}_2$O${}_6$
• The phase diagram of a frustrated Heisenberg model: from disorder to order and back again
• Electric field control of emergent electrodynamics in quantum spin ice
• The Saga of $\alpha$-RuCl${}_3$: Parameters, Models, and Phase Diagrams
• Upper branch magnetism in quantum magnets: Collapses of excited levels and emergent selection rules
• Magnetic Order with Fractionalized Excitations: Applications to ${\mathrm{Yb}}_2{\mathrm{Ti}}_2{\mathrm{O}}_7$
• Fractionalization and Anomalies in Symmetry-Enriched U(1) Gauge Theories
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• A neutron scattering measurement of crystalline-electric fields in magnesium rare-earth selenide spinels
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• Dynamical scaling as a signature of multiple phase competition in Yb${}_2$Ti${}_2$O${}_7$
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• Topological orders of monopoles and hedgehogs: From electronic and magnetic spin-orbit coupling to quarks
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• Spin correlations of quantum-spin-liquid and quadrupole-ordered states of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Structural magnetic glassiness in spin ice Dy${}_2$Ti${}_2$O${}_7$
• Slow spin tunneling in the paramagnetic phase of the pyrochlore Nd2Sn2O7
• Ferromagnetic Cr4PtGa17: A Novel Half-Heusler-Type Compound with a Breathing Pyrochlore Lattice
• Fluctuation-induced First Order Quantum Phase Transition of U(1) Quantum Spin Liquid in Pyrochlore Quantum Antiferromagnet
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• The $3d$-Electron Heisenberg Pyrochlore Mn${}_2$Sb${}_2$O${}_7$
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• Order-by-disorder without quantum zero-point fluctuations in the pyrochlore Heisenberg ferromagnet with Dzyaloshinskii-Moriya interactions
• Multi-scale Quantum Criticality driven by Kondo-lattice Coupling in Pyrochlore Systems
• The complex non-collinear magnetic orderings in Ba2YOsO6: A new approach to tuning spin-lattice interactions and controlling magnetic orderings in frustrated complex oxides
• Orientation Dependence of the Magnetic Phase Diagram of Yb${}_2$Ti${}_2$O${}_7$
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• Deriving quantum spin model for a zigzag-chain ytterbium magnet with anisotropic exchange interactions
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• On the Entanglement Entropy of Maxwell Theory: A Condensed Matter Perspective
• Discovery of new magnetic orders on pyrochlore spinels
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• Dynamical Axions in $U(1)$ Quantum Spin Liquids
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• Dynamical Signatures of Rank-2 $U(1)$ Spin Liquids
• Trimer classical spin liquid from interacting fractional charges
• Higher-Rank Spin Liquids and Spin Nematics from Competing Orders in Pyrochlore Magnets
• Kernel Polynomial Method for Linear Spin Wave Theory
• Beyond Single Tetrahedron Physics of Breathing Pyrochlore Compound Ba3Yb2Zn5O11
• Traversing the pyrochlore stability diagram; microwave-assisted synthesis and discovery of mixed B-site Ln${}_2$InSbO${}_7$ family
• Theory of collective excitations in the quadruple-$Q$ magnetic hedgehog lattices
• Long-wavelength correlations in ferromagnetic titanate pyrochlores as revealed by small angle neutron scattering
• Magnetic Monopole Supercurrent through a Quantum Spin Ice Tunnel Junction
• Quantum effects on pyrochlore higher-rank U(1) spin liquids: Pinch-line singularities, spin nematics, and connections to oxide materials
• Thermodynamics of the dipole-octupole pyrochlore magnet Ce${}_2$Hf${}_2$O${}_7$ in applied magnetic fields
• Revisiting spin ice physics in the ferromagnetic Ising pyrochlore Pr${}_2$Sn${}_2$O${}_7$
• 2-Form U(1) Spin Liquids: Classical Model and Quantum Aspects
• Spin structure factor and thermodynamics in the antiferromagnetic quantum Ising model in the pyrochlore lattice
• Dynamic structure factor of the antiferromagnetic Kitaev model in large magnetic fields
• Quantum paramagnetism in a non-Kramers rare-earth oxide: Monoclinic $\mathrm{P}{\mathrm{r}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Hidden phases born of a quantum spin liquid: Application to pyrochlore spin ice
• Exact Continuum Representation of Long-range Interacting Systems and Emerging Exotic Phases in Unconventional Superconductors
• Probing emergent QED in quantum spin ice via Raman scattering of phonons: shallow inelastic scattering and pair production
• Interplay of uniform U(1) quantum spin liquid and magnetic phases in rare earth pyrochlore magnets : a fermionic parton approach
• Pinch points and half-moons in dipolar-octupolar Nd${}_2$Hf${}_2$O${}_7$
• Effective spin-1/2 exchange interactions in Tb${}_2$Ti${}_2$O${}_7$
• Order, Disorder and Monopole Confinement in the Spin-$1/2$ XXZ Model on a Pyrochlore Tube
• Human-machine collaboration: ordering mechanism of rank-2 spin liquid on breathing pyrochlore lattice
• Magnetic-field-induced tunability of spin Hamiltonians: Resonances and Efimov states in Yb${}_2$Ti${}_2$O${}_7$
• Relieving the frustration through Mn${}^{3+}$ substitution in Holmium Gallium Garnet
• The Future of the Correlated Electron Problem
• Broken-Symmetry Ground States of the Heisenberg model on the Pyrochlore Lattice
• Single Crystal Diffuse Neutron Scattering Study of the Dipole-Octupole Quantum Spin Ice Candidate Ce${}_2$Zr${}_2$O${}_7$: No Apparent Octupolar Correlations Above $T=0.05$ K
• Spin-lattice Coupling in U(1) Quantum Spin Liquids
• Vison crystal in quantum spin ice on the breathing pyrochlore lattice
• Analytical theory of pyrochlore cooperative paramagnets
• Inelastic neutron scattering on Ce pyrochlores: Signatures of electric monopoles
• Exact diagonalization for spin-1/2 spin ice pyrochlores
• Electron quasi-itinerancy intertwined with quantum order by disorder in pyrochlore iridate magnetism
• Magnetic Field Response of Dipolar-Octupolar Quantum Spin Ice
• Symmetry, Superposition and Fragmentation in Classical Spin Liquids: A General Framework and Applications to Square Kagome Magnets
• Néel Ordering in the Distorted Honeycomb Pyrosilicate: C-Er${}_2$Si${}_2$O${}_7$
• Coulombic antiferromagnet in spin-1/2 pyrochlores with dipole-octupole doublets
• Quantum triangular ice in the easy-axis ferromagnetic phase
• First-principles design of the spinel iridate Ir2O4 for high-temperature quantum spin ice
• Confinement, reduced entanglement, and spin-glass order in a random quantum spin-ice model
• Anomalous Proximitized Transport in Metal/Quantum Magnet Heterostructure $\mathrm{B}{\mathrm{i}}_2\mathrm{I}{\mathrm{r}}_2{\mathrm{O}}_7/Y{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Ground state properties of quantum triangular ice
• Crystalline phases and devil's staircase in qubit spin ice
• Phase diagram of the antiferromagnetic $J_1$-$J_2$ spin-$1$ pyrochlore Heisenberg model
• Spin and quadrupole correlations by three-spin interaction in the frustrated pyrochlore magnet Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Flavor Nernst effects in quantum paramagnets
• Classical ground states, spin-wave and PCUT analysis of ${\mathrm{H}}_2\mathrm{SQ}$ system
• Low frequency spin dynamics in XY quantum spin ice Yb${}_2$Pt${}_2$O${}_7$
• Quantum Spin Liquids Stabilized by Disorder in Non-Kramers Pyrochlores
• Geometric fragmentation and anomalous thermalization in cubic dimer model
• Influence of controlled disorder on the dipolar spin ice state of Ho-based pyrochlores
• Synthesis and characterization of the novel breathing pyrochlore compound Ba3Tm2Zn5O11
• Quantum entanglement of XY-type spin dimers in Shastry-Sutherland lattice
• Theta electromagnetism in quantum spin ice: Microscopic analysis of improper symmetries
• Antiferromagnetic Order and Magnetic Frustration in the Honeycomb Heavy-Fermion System Ce(Pt${}_{1-x}$Pd${}_x$)${}_6$Al${}_3$: ${}^{27}$Al and ${}^{195}$Pt NMR Studies
• Dipole-dipole interaction induced phases in Hydrogen-bonded squaric acid crystal
• Concurrence and entanglement on a 16-site spin-1/2 pyrochlore cluster
• Analytic description of spin waves in dipolar/octupolar pyrochlore magnets
• Doped resonating-valence-bond states: Robustness of the spin-ice phases in three-dimensional Rydberg arrays
• Crystal field splittings and magnetic ground state of the square-lattice antiferromagnets YbBi2ClO4 and YbBi2IO4 with Jeff = 1/2
• Towards a global phase diagram of Ce-based dipolar-octupolar pyrochlore magnets under magnetic fields
• Mapping the Phase Diagram of a Frustrated Magnet: Degeneracies, Flat Bands, and Canting Cycles on the Pyrochlore Lattice
• Spin amplitude wave due to dipole-quadrupole hybridization in spin-1 pyrochlore magnets
• Flux fractionalization transition in anisotropic $S=1$ antiferromagnets and dimer-loop models