Generic quantum spin ice

Abstract

We consider possible exotic ground states of quantum spin ice as realized in rare earth pyrochlores. Prior work in Phys. Rev. Lett. 108, 037202 introduced a gauge mean field theory (gMFT) to treat spin or pseudospin Hamiltonians for such systems, reformulated as a problem of bosonic spinons coupled to a U(1) gauge field. We extend gMFT to treat the most general, nearest neighbor exchange Hamiltonian, which contains a further exchange interaction, not considered previously. This term leads to interactions between spinons, and requires a significant extension of gMFT, which we provide. As an application, we focus especially on the non-Kramers materials Pr2TM2O7 (TM=Sn, Zr, Hf, and Ir), for which the additional term is especially important, but for which an Ising-planar exchange coupling discussed previously is forbidden by time-reversal symmetry. In this case, when the planar XY exchange is unfrustrated, we perform a full analysis and find three quantum ground states: a U(1) quantum spin liquid (QSL), an antiferro-quadrupolar ordered state and a non-coplanar ferro-quadrupolar ordered one. We also consider the case of frustrated XY exchange, and find that it favors a pi-flux QSL, with an emergent line degeneracy of low energy spinon excitations. This feature greatly enhances the stability of the QSL with respect to classical ordering.

13 pages, 4 figures

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• Spin Dynamics of the Spin-1/2 Kagome Lattice Antiferromagnet ZnCu_3(OH)_6Cl_2
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Spin-Liquid State in the S = 1/2 Hyperkagome Antiferromagnet Na4Ir3O8
• Dynamically-Induced Frustration as a Route to a Quantum Spin Ice State in Tb2Ti2O7 via Virtual Crystal Field Excitations and Quantum Many-Body Effects

Cited by in corpus (169)

• Quantum Spin Liquids
• Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in Pyrochlore Magnets
• Rare-earth chalcogenides: A large family of triangular lattice spin liquid candidate
• Frustrated quantum rare-earth pyrochlores
• Experimental signatures of a three-dimensional quantum spin liquid in effective spin-1/2 Ce2Zr2O7 pyrochlore
• Quantum spin ices and topological phases from dipolar-octupolar doublets on the pyrochlore lattice
• Quantum Spin Ice Dynamics in the Dipole-Octupole Pyrochlore Magnet Ce${}_2$Zr${}_2$O${}_7$
• Living on the edge : ground-state selection in quantum spin-ice pyrochlores
• Theory of multiple--phase competition in pyrochlore magnets with anisotropic exchange, with application to Yb2Ti2O7, Er2Ti2O7 and Er2Sn2O7
• A quantum liquid of magnetic octupoles on the pyrochlore lattice
• Symmetry Enriched U(1) Topological Orders for Dipole-Octupole Doublets on a Pyrochlore Lattice
• Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions
• Are multiphase competition & order-by-disorder the keys to understanding Yb2Ti2O7?
• Experimental Insights into Ground State Selection of Quantum XY Pyrochlores
• Magnetic Frustration in Lead Pyrochlores
• Numerical evidence of quantum melting of spin ice: quantum-classical crossover
• How quantum are classical spin ices?
• The Spinon Fermi Surface U(1) Spin Liquid in a Spin-Orbit-Coupled Triangular Lattice Mott Insulator YbMgGaO4
• An anisotropic local modification of crystal field levels in Pr-based pyrochlores: a muon-induced effect modelled using density functional theory
• Kitaev materials beyond iridates: order by quantum disorder and Weyl magnons in rare-earth double perovskites
• Candidate quantum spin ice in the pyrochlore Pr${}_2$Hf${}_2$O${}_7$
• Unconventional Magnetic Ground State in Yb${}_2$Ti${}_2$O${}_7$
• Crystal field states in a Quantum Spin Ice]{Crystal field states of Pr${}^{3+}$ in the candidate quantum spin ice Pr${}_2$Sn${}_2$O${}_7$
• Competing spin liquids and hidden nematic order in spin ice with frustrated transverse exchange
• Antiferro-quadrupolar correlations in the quantum spin ice candidate Pr2Zr2O7
• Bosonic Many-body Theory of Quantum Spin Ice
• Dynamics of Topological Excitations in a Model Quantum Spin Ice
• Spin Liquid Regimes at Nonzero Temperature in Quantum Spin Ice
• Magnetic monopole condensation in pyrochlore ice quantum spin liquid: application to Pr2Ir2O7 and Yb2Ti2O7
• Structural and Magnetic Investigations of Single-Crystals of the Neodymium Zirconate Pyrochlore, Nd2Zr2O7
• Sleuthing out exotic quantum spin liquidity in the pyrochlore magnet Ce${}_2$Zr${}_2$O${}_7$
• Ground-state phase diagram of an anisotropic spin-$1/2$ model on the triangular lattice
• Antiferromagnetic Spin Ice Correlations at (1/2,1/2,1/2) in the Ground State of the Pyrochlore Magnet Tb2Ti2O7
• Spin liquid correlations, anisotropic exchange and symmetry breaking in Tb2Ti2O7
• Competing orders and topology in the global phase diagram of pyrochlore iridates
• Thermodynamic properties of the Yb2Ti2O7 pyrochlore as a function of temperature and magnetic field: validation of a quantum spin ice exchange Hamiltonian
• Thermal Hall effects in quantum magnets
• Quadrupole Order in the Frustrated Pyrochlore Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Emergent ${\mathbb{Z}}_2$ gauge theories and topological excitations in Rydberg atom arrays
• Physical properties of a candidate quantum spin-ice system Pr2Hf2O7
• Chirality-driven Hall Transport Phenomena of Spins
• Quantum spin ice with frustrated transverse exchange: from pi-flux phase to nematic quantum spin liquid
• Quantum spin ice on the breathing pyrochlore lattice
• Neutron spectroscopic study of crystal field excitations in Tb2Ti2O7 and Tb2Sn2O7
• Selective measurements of intertwined multipolar orders: non-Kramers doublets on a triangular lattice
• RKKY interactions and anomalous Hall effect in metallic rare-earth pyrochlores
• New physics in frustrated magnets: Spin ices, monopoles, etc
• The Spectral Periodicity of Spinon Continuum in Quantum Spin Ice
• Dirac's "magnetic monopole" in pyrochlore ice U(1) spin liquids: Spectrum and classification
• Quantum Kagome Ice
• The Emergent Fine Structure Constant of Quantum Spin Ice Is Large
• Of chain-based order and quantum spin liquids in dipolar spin ice
• Pyrochlore U(1) spin liquid of mixed symmetry enrichments in magnetic fields
• Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
• Ground state phase diagram of dipolar-octupolar pyrochlores
• Order out of a Coulomb phase and Higgs transtion: frustrated transverse interactions of Nd2Zr2O7
• Temperature and Magnetic Field Dependence of Spin Ice Correlations in the Pyrochlore Magnet Tb2Ti2O7
• Magneto-elastic induced vibronic bound state in the spin ice pyrochlore Ho${}_2$Ti${}_2$O${}_7$
• Half moons are pinch points with dispersion
• Competing phases and topological excitations of spin-one pyrochlore antiferromagnets
• Magnetic field effects in an octupolar quantum spin liquid candidate
• Spin liquid and quantum phase transition without symmetry breaking in a frustrated three-dimensional Ising model
• Double Vibronic process in the quantum spin ice candidate Tb${}_2$Ti${}_2$O${}_7$ revealed by terahertz spectroscopy
• Sample independence of magnetoelastic excitations in the rare earth pyrochlore Tb2Ti2O7
• Fractionalized charge excitations in a spin liquid on partially-filled pyrochlore lattice
• Fluctuation-Driven Selection at Criticality in a Frustrated Magnetic System: the Case of Multiple-k Partial Order on the Pyrochlore Lattice
• Competing $U(1)$ and ${\mathbb{Z}}_2$ dipolar-octupolar quantum spin liquids on the pyrochlore lattice: application to Ce${}_2$Zr${}_2$O${}_7$
• Uncovering footprints of dipolar-octupolar quantum spin ice from neutron scattering signatures
• Coulomb liquid phases of bosonic cluster Mott insulators on a pyrochlore lattice
• Quantum spin ice under a [111] magnetic field: from pyrochlore to kagomé
• Symmetry fractionalization in the gauge mean-field theory of quantum spin ice
• Pr${}_2$Ir${}_2$O${}_7$: when Luttinger semimetal meets Melko-Hertog-Gingras spin ice state
• Intrinsic transverse field in frustrated quantum Ising magnets: its physical origin and quantum effects
• Anisotropic exchange Hamiltonian, magnetic phase diagram and domain inversion of Nd${}_2$Zr${}_2$O${}_7$
• Composite spin and quadrupole wave in the ordered phase of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Curie-law crossover in spin liquids
• Theory of magnetostriction for multipolar quantum spin ice in pyrochlore materials
• Hydrogenic states of monopoles in diluted quantum spin ice
• Probing octupolar hidden order via Janus impurities
• Abundance of hard-hexagon crystals in the quantum pyrochlore antiferromagnet
• Spinon walk in quantum spin ice
• Acoustic signatures of the phases and phase transitions in Yb${}_2$Ti${}_2$O${}_7$
• Quantum spin liquid and electric quadrupolar states of single crystal Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Reentrance of disorder in the anisotropic shuriken Ising model
• Spin-orbital liquids in non-Kramers magnet on Kagome lattice
• Spectroscopic signatures of fractionalization in octupolar quantum spin ice
• Magnetic field induced topological semimetals near a quantum critical point of pyrochlore iridates
• Gapped ground state in the zigzag pseudospin-1/2 quantum antiferromagnetic chain compound PrTiNbO6
• Single crystal growth, structure and magnetic properties of Pr2Hf2O7 pyrochlore
• Evidence for the Confinement of Magnetic Monopoles in Quantum Spin Ice
• Magnetic dilution and domain selection in the XY pyrochlore antiferromagnet Er${}_2$Ti${}_2$O${}_7$
• Topological thermal Hall effect for topological excitations in spin liquid: Emergent Lorentz force on the spinons
• Fingerprints of quantum spin ice in Raman scattering
• Competing Gauge Fields and Entropically-Driven Spin Liquid to Spin Liquid Transition in non-Kramers Pyrochlores
• Competing quantum spin liquids, gauge fluctuations, and anisotropic interactions in a breathing pyrochlore lattice
• Topological thermal Hall effect of "magnetic monopoles" in pyrochlore U(1) spin liquid
• Topological Superconductivity in Metal/Quantum-Spin-Ice Heterostructures
• Free coherent spinons in quantum square ice
• Extended Coulomb liquid of paired hardcore boson model on a pyrochlore lattice
• Confinement of monopoles and scaling theory near unconventional critical points
• Electric field control of emergent electrodynamics in quantum spin ice
• Magnetic Order with Fractionalized Excitations: Applications to ${\mathrm{Yb}}_2{\mathrm{Ti}}_2{\mathrm{O}}_7$
• Upper branch magnetism in quantum magnets: Collapses of excited levels and emergent selection rules
• Spin Casimir Effect in Non-collinear Quantum Antiferromagnets
• 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
• Continuum excitation and pseudospin wave in quantum spin-liquid and quadrupole ordered states of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Epitaxial stabilization of (111)-oriented frustrated quantum pyrochlore thin films
• Symmetry breaking via Kondo hybridization: Chiral nematic metal in Pr2Ir2O7
• Quadrupole order in the frustrated pyrochlore magnet Tb${}_2$Ti${}_2$O${}_7$
• Peering into the darkness: vison-generated photon mass in quantum spin ice
• Spin correlations of quantum-spin-liquid and quadrupole-ordered states of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Fluctuation-induced First Order Quantum Phase Transition of U(1) Quantum Spin Liquid in Pyrochlore Quantum Antiferromagnet
• Optimization of single crystal growth of candidate quantum spin-ice Pr2Hf2O7 by optical floating-zone method
• Asymmetric Ferromagnetic Criticality in Pyrochlore Ferromagnet Lu${}_2$V${}_2$O${}_7$
• Emergent photons and fractionalized excitations in a quantum spin liquid
• Multi-scale Quantum Criticality driven by Kondo-lattice Coupling in Pyrochlore Systems
• Clusterization transition between cluster Mott insulators on a breathing Kagomé lattice
• Orientation Dependence of the Magnetic Phase Diagram of Yb${}_2$Ti${}_2$O${}_7$
• A Large-$S$ Study of Quantum Kagome Ice
• Tunneling-induced restoration of classical degeneracy in quantum kagome ice
• Magnetization beyond the Ising limit of Ho${}_2$Ti${}_2$O${}_7$
• Ultrasound detection of emergent photons in generic quantum spin ice
• Finite Temperature Dynamics in 0-Flux and $\pi$-Flux Quantum Spin Ice: Self-Consistent Exclusive Boson Approach
• Magnetic field and thermal Hall effect in a pyrochlore U(1) quantum spin liquid
• Discovery of new magnetic orders on pyrochlore spinels
• Exchange interactions in two-state systems: rare earth pyrochlores
• Theory of quantum kagome ice and vison zero modes
• Properties and application of the SO(3) Majorana representation of spin: equivalence with the Jordan-Wigner transformation and exact $Z_2$ gauge theories for spin models
• Revealing Quadrupolar Excitations with Non-Linear Spectroscopy
• Phonon-driven multipolar dynamics in a spin-orbit coupled Mott insulator
• Dipolar-octupolar correlations and hierarchy of exchange interactions in Ce${}_2$Hf${}_2$O${}_7$
• Magnetic Monopole Supercurrent through a Quantum Spin Ice Tunnel Junction
• Traversing the pyrochlore stability diagram; microwave-assisted synthesis and discovery of mixed B-site Ln${}_2$InSbO${}_7$ family
• Thermodynamics of the dipole-octupole pyrochlore magnet Ce${}_2$Hf${}_2$O${}_7$ in applied magnetic fields
• 2-Form U(1) Spin Liquids: Classical Model and Quantum Aspects
• Hidden phases born of a quantum spin liquid: Application to pyrochlore spin ice
• Canted antiferromagnetism in a spin-orbit coupled $S_{\text{eff}}=3/2$ triangular-lattice magnet DyAuGe
• Supercooled Jahn-Teller Ice
• Two-Peak Heat Capacity Accounts for $R\ln (2)$ Entropy and Ground State Access in the Dipole-Octupole Pyrochlore Ce${}_2$Hf${}_2$O${}_7$
• Probing emergent QED in quantum spin ice via Raman scattering of phonons: shallow inelastic scattering and pair production
• Signatures of spinon dynamics and phase structure of dipolar-octupolar quantum spin ices in two-dimensional coherent spectroscopy
• Dimensional change of quadrupole orders in pseudospin-$\frac{1}{2}$ pyrochlore magnets under [111] field
• Interplay of uniform U(1) quantum spin liquid and magnetic phases in rare earth pyrochlore magnets : a fermionic parton approach
• Effective spin-1/2 exchange interactions in Tb${}_2$Ti${}_2$O${}_7$
• 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
• Vison crystal in quantum spin ice on the breathing pyrochlore lattice
• Magnetic-field-induced tunability of spin Hamiltonians: Resonances and Efimov states in Yb${}_2$Ti${}_2$O${}_7$
• Spin-lattice Coupling in U(1) Quantum Spin Liquids
• Electric Field Response In Breathing Pyrochlores
• Magnetic Field Response of Dipolar-Octupolar Quantum Spin Ice
• Elastic study of electric quadrupolar correlation in the paramagnetic state of a frustrated quantum magnet $\mathrm{T}{\mathrm{b}}_{2+\delta }\mathrm{T}{\mathrm{i}}_{2-\delta }{\mathrm{O}}_7$
• First-principles design of the spinel iridate Ir2O4 for high-temperature quantum spin ice
• Quantum Spin Liquids in Pyrochlore Magnets With Non-Kramers Local Moments
• XY ring exchange model with frustrated Ising coupling on the triangular lattice
• Spin and quadrupole correlations by three-spin interaction in the frustrated pyrochlore magnet Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Ground state properties of quantum triangular ice
• Quantum triangular ice in the easy-axis ferromagnetic phase
• Crystalline phases and devil's staircase in qubit spin ice
• Coulombic antiferromagnet in spin-1/2 pyrochlores with dipole-octupole doublets
• Intertwined Magnetic Dipolar and Electric Quadrupolar Correlations in the Pyrochlore Tb${}_2$Ge${}_2$O${}_7$
• Synthesis and characterization of the novel breathing pyrochlore compound Ba3Tm2Zn5O11
• Spinon band flattening by its emergent gauge field in quantum kagome ice
• Theta electromagnetism in quantum spin ice: Microscopic analysis of improper symmetries
• Flux fractionalization transition in anisotropic $S=1$ antiferromagnets and dimer-loop models
• Towards a global phase diagram of Ce-based dipolar-octupolar pyrochlore magnets under magnetic fields
• Quantum Spin Superfluid from Bose-Einstein Condensation of Spinons in Pyrochlore Spin Ice
• Z${}_2$ topological orders in kagomé dipolar systems: Feedback from Rydberg quantum simulator
• Disorder and Quantum spin ice