Coulombic Quantum Liquids in Spin-1/2 Pyrochlores

Abstract

We develop a non-perturbative "gauge Mean Field Theory" (gMFT) method to study a general effective spin-1/2 model for magnetism in rare earth pyrochlores. gMFT is based on a novel exact slave-particle formulation, and matches both the perturbative regime near the classical spin ice limit and the semiclassical approximation far from it. We show that the full phase diagram contains two exotic phases: a quantum spin liquid and a coulombic ferromagnet, both of which support deconfined spinon excitations and emergent quantum electrodynamics. Phenomenological properties of these phases are discussed.

4+ pages, 6+ pages of Supplementary Material, 4 figures, 1 table

References in corpus (3)

• 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

Cited by in corpus (224)

• Quantum Spin Liquids
• Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in Pyrochlore Magnets
• Seeing the light : experimental signatures of emergent electromagnetism in a quantum spin ice
• $\mu$SR evidence for the U(1) quantum spin liquid ground state in the triangular antiferromagnet YbMgGaO${}_4$
• Generic quantum spin ice
• Frustrated quantum rare-earth pyrochlores
• Definitive Evidence for Order-by-Quantum-Disorder in Er2Ti2O7
• Thermal Hall conductivity in the frustrated pyrochlore magnet Tb2Ti2O7
• Higgs transition from a magnetic Coulomb liquid to a ferromagnet in Yb_2Ti_2O_7
• Quantum spin ices and topological phases from dipolar-octupolar doublets on the pyrochlore lattice
• An anisotropic spin model of strong spin-orbit-coupled triangular antiferromagnets
• Magnetic-Moment Fragmentation and Monopole Crystallization
• Quantum order by disorder and accidental soft mode Er2Ti2O7
• Lightly stuffed pyrochlore structure of single-crystalline Yb2Ti2O7 grown by the optical floating zone technique
• Disorder-Induced Entanglement in Spin Ice Pyrochlores
• Quantum Spin Ice Dynamics in the Dipole-Octupole Pyrochlore Magnet Ce${}_2$Zr${}_2$O${}_7$
• Three dimensional quantum spin liquids in models of harmonic-honeycomb iridates and phase diagram in an infinite-D approximation
• Theory of multiple--phase competition in pyrochlore magnets with anisotropic exchange, with application to Yb2Ti2O7, Er2Ti2O7 and Er2Sn2O7
• Living on the edge : ground-state selection in quantum spin-ice pyrochlores
• Is the Yb2Ti2O7 pyrochlore a quantum spin ice?
• Magnetic orders and topological phases from f-d exchange in pyrochlore iridates
• Candidate Quantum Spin Liquid in the Ce\textsuperscript{3+} Pyrochlore Stannate Ce${}_2$Sn${}_2$O${}_7$
• Quasiparticle Breakdown and Spin Hamiltonian of the Frustrated Quantum Pyrochlore Yb${}_2$Ti${}_2$O${}_7$ in Magnetic Field
• 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
• Fractonic Matter in Symmetry-Enriched U(1) Gauge Theory
• Are multiphase competition & order-by-disorder the keys to understanding Yb2Ti2O7?
• Experimental Insights into Ground State Selection of Quantum XY Pyrochlores
• Rank-2 $U(1)$ spin liquid on the breathing pyrochlore lattice
• Pinch Point Singularities of Tensor Spin Liquids
• 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
• A spin liquid with pinch-line singularities on the pyrochlore lattice
• Thermal conductivity of quantum magnetic monopoles in the frustrated pyrochlore Yb2Ti2O7
• Time-reversal symmetric U(1) quantum spin liquids
• Candidate quantum spin ice in the pyrochlore Pr${}_2$Hf${}_2$O${}_7$
• Unconventional Magnetic Ground State in Yb${}_2$Ti${}_2$O${}_7$
• Ground State Phase Diagram of Generic XY Pyrochlore Magnets with Quantum Fluctuations
• Competing spin liquids and hidden nematic order in spin ice with frustrated transverse exchange
• Magnetic order, magnetic correlations and spin dynamics in the pyrochlore antiferromagnet Er2Ti2O7
• Bosonic Many-body Theory of Quantum Spin Ice
• Coulomb spin liquid in anion-disordered pyrochlore Tb${}_2$Hf${}_2$O${}_7$
• The quantum origins of moment fragmentation in Nd2Zr2O7
• 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
• Refrustration and competing orders in the prototypical Dy2Ti2O7 spin ice material
• Ground-state phase diagram of an anisotropic spin-$1/2$ model on the triangular lattice
• Low Energy Electrodynamics of Novel Spin Excitations in the Quantum Spin Ice Yb${}_2$Ti${}_2$O${}_7$
• Gapless quantum excitations from an Ice-like Splayed Ferromagnetic ground state in stoichiometric Yb2Ti2O7
• Spin liquid correlations, anisotropic exchange and symmetry breaking in Tb2Ti2O7
• 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
• Simulating Quantum Spin Models using Rydberg-Excited Atomic Ensembles in Magnetic Microtrap Arrays
• Structural and magnetic properties of two branches of the Tripod Kagome Lattice family A${}_2$RE${}_3$Sb${}_3$O${}_{14}$ (A = Mg, Zn; RE = Pr, Nd, Gd, Tb, Dy, Ho, Er, Yb)
• Chirality-driven Hall Transport Phenomena of Spins
• Ground state selection in XY pyrochlore antiferromagnets R${}_2$Ge${}_2$O${}_7$ (R = Er, Yb)
• Quantum spin ice with frustrated transverse exchange: from pi-flux phase to nematic quantum spin liquid
• Quantum spin ice on the breathing pyrochlore lattice
• Topological Sector Fluctuations and Curie Law Crossover in Spin Ice
• RKKY interactions and anomalous Hall effect in metallic rare-earth pyrochlores
• The Spectral Periodicity of Spinon Continuum in Quantum Spin Ice
• Dirac's "magnetic monopole" in pyrochlore ice U(1) spin liquids: Spectrum and classification
• The Emergent Fine Structure Constant of Quantum Spin Ice Is Large
• Quantum Kagome Ice
• Fragmentation in Frustrated Magnets -- A review
• Of chain-based order and quantum spin liquids in dipolar spin ice
• Cluster-glass phase in pyrochlore XY antiferromagnets with quenched disorder
• Universal Dynamic Magnetism in Yb-Pyrochlores with Disparate Ground States
• Order-by-disorder near criticality in $XY$ pyrochlore magnets
• Instabilities of a U(1) quantum spin liquid in disordered non-Kramers pyrochlores
• Finite-temperature behavior of a classical spin-orbit-coupled model for ${\text{YbMgGaO}}_4$ with and without bond disorder
• Vison Crystals in an Extended Kitaev Model on the Honeycomb Lattice
• Pyrochlore U(1) spin liquid of mixed symmetry enrichments in magnetic fields
• Dimerization tendencies of the pyrochlore Heisenberg antiferromagnet: A functional renormalization group perspective
• Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
• Ground state phase diagram of dipolar-octupolar pyrochlores
• Emergent Electrochemistry in Spin Ice: Debye-Hückel Theory and Beyond
• RKKY oscillations in the spin relaxation rates of atomic scale nanomagnets
• Symmetry enriched U(1) quantum spin liquids
• Chiral RKKY interaction in Pr2Ir2O7
• Distinguishing dipolar and octupolar quantum spin ices using contrasting magnetostriction signatures
• Quantum versus Classical Spin Fragmentation in Dipolar Kagome Ice Ho3Mg2Sb3O14
• Order out of a Coulomb phase and Higgs transtion: frustrated transverse interactions of Nd2Zr2O7
• Classical and quantum theories of proton disorder in hexagonal water ice
• A Proposal to Use Neutron Scattering to Measure Scalar Spin Chirality Fluctuations in Kagome Lattices
• Evidence for unidimensional low-energy excitations as the origin of persistent spin dynamics in geometrically frustrated magnets
• Ground state selection under pressure in the quantum pyrochlore magnet Yb2Ti2O7
• A novel type of splayed ferromagnetic order observed in Yb2Ti2O7
• Order-by-disorder and quantum Coulomb phase in quantum square ice
• Competing phases and topological excitations of spin-one pyrochlore antiferromagnets
• Kagome chiral spin liquid as a gauged U(1) symmetry protected topological phase
• Spin dynamics of the ordered dipolar-octupolar pseudospin-${}^1{/}_2$ pyrochlore Nd${}_2$Zr${}_2$O${}_7$ probed by muon spin relaxation
• Magnetic field effects in an octupolar quantum spin liquid candidate
• Double Vibronic process in the quantum spin ice candidate Tb${}_2$Ti${}_2$O${}_7$ revealed by terahertz spectroscopy
• Spin liquid and quantum phase transition without symmetry breaking in a frustrated three-dimensional Ising model
• Fractionalized charge excitations in a spin liquid on partially-filled pyrochlore lattice
• Gapped and gapless short range ordered magnetic states with $(\frac{1}{2},\frac{1}{2},\frac{1}{2})$ wavevectors in the pyrochlore magnet Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+\delta }$
• Fluctuation-Driven Selection at Criticality in a Frustrated Magnetic System: the Case of Multiple-k Partial Order on the Pyrochlore Lattice
• Sample independence of magnetoelastic excitations in the rare earth pyrochlore Tb2Ti2O7
• Uncovering footprints of dipolar-octupolar quantum spin ice from neutron scattering signatures
• Competing orders in pyrochlore magnets from a ${\mathbb{Z}}_2$ spin liquid perspective
• Coulomb liquid phases of bosonic cluster Mott insulators on a 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${}_7$
• Symmetry fractionalization in the gauge mean-field theory of quantum spin ice
• Spin dynamics and unconventional Coulomb phase in Nd${}_2$Zr${}_2$O${}_7$
• Discovery of Emergent Photon and Monopoles in a Quantum Spin Liquid
• Weak magnetic transitions in pyrochlore Bi2Ir2O7
• Composite spin and quadrupole wave in the ordered phase of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Anisotropic exchange Hamiltonian, magnetic phase diagram and domain inversion of Nd${}_2$Zr${}_2$O${}_7$
• Theory of magnetostriction for multipolar quantum spin ice in pyrochlore materials
• Monopole holes in a partially ordered spin liquid
• Observation of Flat Bands and Dirac Cones in a Pyrochlore Lattice Superconductor
• Symmetric $\mathrm{U}(1)$ and ${\mathbb{Z}}_2$ spin liquids on the pyrochlore lattice
• Spinon walk in quantum spin ice
• Acoustic signatures of the phases and phase transitions in Yb${}_2$Ti${}_2$O${}_7$
• Quantum disordered insulating phase in the frustrated cubic-lattice Hubbard model
• Spin-1/2 Heisenberg antiferromanget on kagome: a $Z_2$ spin liquid with fermionic spinons
• Magnetic Excitations in the Ground State of $\mathrm{Y}{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Spin freezing in the disordered pyrochlore magnet NaCaCo${}_2$F${}_7$: NMR studies and Monte-Carlo simulations
• Low-temperature thermal conductivity of Dy_2Ti_2O_7 and Yb_2Ti_2O_7 single crystals
• Reentrance of disorder in the anisotropic shuriken Ising model
• Single crystal growth, structure and magnetic properties of Pr2Hf2O7 pyrochlore
• Spectroscopic signatures of fractionalization in octupolar quantum 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
• Topological thermal Hall effect for topological excitations in spin liquid: Emergent Lorentz force on the spinons
• Generic Field-Driven Phenomena in Kitaev Spin Liquids: Canted Magnetism and Proximate Spin Liquid Physics
• Coexistence of non-Abelian chiral spin liquid and magnetic order in a spin-1 antiferromagnet
• Competing quantum spin liquids, gauge fluctuations, and anisotropic interactions in a breathing pyrochlore lattice
• Generalized Lieb-Schultz-Mattis theorem on bosonic symmetry protected topological phases
• Fingerprints of quantum spin ice in Raman scattering
• Spectroscopy of spinons in Coulomb quantum spin liquids
• Topological thermal Hall effect of "magnetic monopoles" in pyrochlore U(1) spin liquid
• Free coherent spinons in quantum square ice
• Extended Coulomb liquid of paired hardcore boson model on a pyrochlore lattice
• Beyond magnons in Nd2ScNbO7: An Ising pyrochlore antiferromagnet with all in all out order and random fields
• Electric field control of emergent electrodynamics in quantum spin ice
• Confinement of monopoles and scaling theory near unconventional critical points
• Quantum spin ice in three-dimensional Rydberg atom arrays
• Flux Quantization Due to Monopole and Dipole Currents
• Semi-classical Approach to Quantum Spin Ice
• Effective point-charge analysis of crystal electric fields -- application to rare-earth pyrochlores and tripod kagome magnets R3Mg2Sb3O14
• Fractionalization and Anomalies in Symmetry-Enriched U(1) Gauge Theories
• Low-field behavior of an XY pyrochlore antiferromagnet: emergent clock anisotropies
• Ferromagnetic Coulomb phase in classical spin ice
• Magnetic Order with Fractionalized Excitations: Applications to ${\mathrm{Yb}}_2{\mathrm{Ti}}_2{\mathrm{O}}_7$
• Unification of parton and coupled-wire approaches to quantum magnetism in two dimensions
• Evolution of structure and magnetism across the metal-insulator transition in the pyrochlore iridate $($Nd${}_{1-x}$Ca${}_x{)}_2$Ir${}_2$O${}_7$
• 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
• Phases and Quantum Phase Transitions in an Anisotropic Ferromagnetic Kitaev-Heisenberg-$\Gamma$ Magnet
• Epitaxial stabilization of (111)-oriented frustrated quantum pyrochlore thin films
• Crystal field excitations from $\mathrm{Y}{\mathrm{b}}^{3+}$ ions at defective sites in highly stuffed $\mathrm{Y}{\mathrm{b}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Universal monopole scaling near transitions from the Coulomb phase
• Fluctuation-induced First Order Quantum Phase Transition of U(1) Quantum Spin Liquid in Pyrochlore Quantum Antiferromagnet
• Peering into the darkness: vison-generated photon mass in quantum spin ice
• 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
• Distinguishing thermodynamics and spectroscopy for octupolar U(1) spin liquid of Ce-pyrochlores
• U(1) Dirac quantum spin liquid candidate in triangular-lattice antiferromagnet CeMgAl${}_{11}$O${}_{19}$
• Orientation Dependence of the Magnetic Phase Diagram of Yb${}_2$Ti${}_2$O${}_7$
• The Classical Heisenberg Model on the Centred Pyrochlore Lattice
• A pseudofermion functional renormalization group study of dipolar-octupolar pyrochlore magnets
• Tunneling-induced restoration of classical degeneracy in quantum kagome ice
• Ultrasound detection of emergent photons in generic quantum spin ice
• Competing valence bond and symmetry breaking Mott states of spin-3/2 fermions on a honeycomb lattice
• Dynamical Signatures of Rank-2 $U(1)$ Spin Liquids
• Dynamical Axions in $U(1)$ Quantum Spin Liquids
• Spinless fermions in a ${\mathbb{Z}}_2$ gauge theory on the triangular ladder
• Theory of quantum kagome ice and vison zero modes
• Magnetic field and thermal Hall effect in a pyrochlore U(1) quantum spin liquid
• Finite Temperature Dynamics in 0-Flux and $\pi$-Flux Quantum Spin Ice: Self-Consistent Exclusive Boson Approach
• Deconfined quantum phase transition on the kagome lattice: Distinct velocities of spinon and string excitations
• 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
• Dipolar-octupolar correlations and hierarchy of exchange interactions in Ce${}_2$Hf${}_2$O${}_7$
• Low temperature crystal structure and local magnetometry for the geometrically frustrated pyrochlore Tb2Ti2O7
• Phenomenological approach to hyperkagome spin liquid: gauge fields and spinons without slave particles
• Traversing the pyrochlore stability diagram; microwave-assisted synthesis and discovery of mixed B-site Ln${}_2$InSbO${}_7$ family
• Signatures of spinon dynamics and phase structure of dipolar-octupolar quantum spin ices in two-dimensional coherent spectroscopy
• Two-Peak Heat Capacity Accounts for $R\ln (2)$ Entropy and Ground State Access in the Dipole-Octupole Pyrochlore Ce${}_2$Hf${}_2$O${}_7$
• Magnetic Monopole Supercurrent through a Quantum Spin Ice Tunnel Junction
• 2-Form U(1) Spin Liquids: Classical Model and Quantum Aspects
• Probing emergent QED in quantum spin ice via Raman scattering of phonons: shallow inelastic scattering and pair production
• Hidden phases born of a quantum spin liquid: Application to pyrochlore spin ice
• Quantum effects on pyrochlore higher-rank U(1) spin liquids: Pinch-line singularities, spin nematics, and connections to oxide materials
• Vison crystal in quantum spin ice on the breathing pyrochlore lattice
• Quantum valence bond ice theory for proton-driven quantum spin-dipole liquids
• Interplay of symmetry breaking and deconfinement in 3D quantum vertex models
• Interplay of uniform U(1) quantum spin liquid and magnetic phases in rare earth pyrochlore magnets : a fermionic parton approach
• Theory of topological defects and textures in two-dimensional quantum orders with spontaneous symmetry breaking
• Collective magnetic state induced by charge disorder in the non-Kramers rare-earth pyrochlore Tb${}_2$ScNbO${}_7$
• Broken-Symmetry Ground States of the Heisenberg model on the Pyrochlore Lattice
• A note on electromagnetic edge modes
• Quantum Loop States in Spin-Orbital Models on the Honeycomb Lattice
• Effective spin-1/2 exchange interactions in Tb${}_2$Ti${}_2$O${}_7$
• Field-temperature phase diagram of the enigmatic Nd${}_2$(Zr${}_{1-x}$Ti${}_x$)${}_2$O${}_7$ pyrochlore magnets
• Microscopic theory of fractional excitations in gapless bilayer quantum Hall states: semi-quantized quantum Hall states
• Magnetic Field Response of Dipolar-Octupolar Quantum Spin Ice
• Electric Field Response In Breathing Pyrochlores
• Inelastic neutron scattering on Ce pyrochlores: Signatures of electric monopoles
• Elastic study of electric quadrupolar correlation in the paramagnetic state of a frustrated quantum magnet $\mathrm{T}{\mathrm{b}}_{2+\delta }\mathrm{T}{\mathrm{i}}_{2-\delta }{\mathrm{O}}_7$
• Symmetry, Superposition and Fragmentation in Classical Spin Liquids: A General Framework and Applications to Square Kagome Magnets
• Quantum Spin Liquids in Pyrochlore Magnets With Non-Kramers Local Moments
• First-principles design of the spinel iridate Ir2O4 for high-temperature quantum spin ice
• Coulombic antiferromagnet in spin-1/2 pyrochlores with dipole-octupole doublets
• Confinement, reduced entanglement, and spin-glass order in a random quantum spin-ice model
• Crystalline phases and devil's staircase in qubit spin ice
• Quantum-critical electrodynamics of Luttinger fermions
• Spinon band flattening by its emergent gauge field in quantum kagome ice
• Theta electromagnetism in quantum spin ice: Microscopic analysis of improper symmetries
• Crystallography, Group Cohomology, and Lieb-Schultz-Mattis Constraints
• Synthetic magnetoelectric response of lattice bosonic insulators
• 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
• Fractional Wannier Orbitals and Tight-Binding Gauge Fields for Kitaev Honeycomb Superlattices with Flat Majorana Bands
• Mapping the Phase Diagram of a Frustrated Magnet: Degeneracies, Flat Bands, and Canting Cycles on the Pyrochlore Lattice
• Towards a global phase diagram of Ce-based dipolar-octupolar pyrochlore magnets under magnetic fields
• Disorder-induced proximate quantum spin ice phase in Pr2Sn2O7
• Classification and correlation signatures of chiral spin liquids on the pyrochlore lattice
• Quantum Spin Superfluid from Bose-Einstein Condensation of Spinons in Pyrochlore Spin Ice