Quantum Ice : a quantum Monte Carlo study

Abstract

Ice states, in which frustrated interactions lead to a macroscopic ground-state degeneracy, occur in water ice, in problems of frustrated charge order on the pyrochlore lattice, and in the family of rare-earth magnets collectively known as spin ice. Of particular interest at the moment are "quantum spin ice" materials, where large quantum fluctuations may permit tunnelling between a macroscopic number of different classical ground states. Here we use zero-temperature quantum Monte Carlo simulations to show how such tunnelling can lift the degeneracy of a spin or charge ice, stabilising a unique "quantum ice" ground state --- a quantum liquid with excitations described by the Maxwell action of 3+1-dimensional quantum electrodynamics. We further identify a competing ordered "squiggle" state, and show how both squiggle and quantum ice states might be distinguished in neutron scattering experiments on a spin ice material.

4.5 pages, 6 eps figures - accepted for publication in Phys. Rev. Lett

References in corpus (15)

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• Dirac Strings and Magnetic Monopoles in Spin Ice Dy2Ti2O7
• Quantum Excitations in Quantum Spin Ice
• Dynamically-Induced Frustration as a Route to a Quantum Spin Ice State in Tb2Ti2O7 via Virtual Crystal Field Excitations and Quantum Many-Body Effects
• Three dimensional resonating valence bond liquids and their excitations
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• 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
• Cyclic exchange, isolated states and spinon deconfinement in an XXZ Heisenberg model on the checkerboard lattice
• Analysis of a fully packed loop model arising in a magnetic Coulomb phase
• Extended quantum U(1)-liquid phase in a three-dimensional quantum dimer model
• Correlated Fermions on a Checkerboard Lattice
• Doped Singlet-Pair Crystal in the Hubbard model on the checkerboard lattice
• Orbital ice: an exact Coulomb phase on the diamond lattice
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Cited by in corpus (140)

• Quantum Spin Liquids
• Symmetry Protected Topological phases of Quantum Matter
• Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in Pyrochlore Magnets
• Boson topological insulators: A window into highly entangled quantum phases
• Seeing the light : experimental signatures of emergent electromagnetism in a quantum spin ice
• 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 and dimer models with Rydberg atoms
• 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?
• Experimental signatures of emergent quantum electrodynamics in Pr${}_2$Hf${}_2$O${}_7$
• Symmetry Enriched U(1) Topological Orders for Dipole-Octupole Doublets on a Pyrochlore Lattice
• Fractonic Matter in Symmetry-Enriched U(1) Gauge Theory
• 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
• Rank-2 $U(1)$ spin liquid on the breathing pyrochlore lattice
• Brownian Motion and Quantum Dynamics of Magnetic Monopoles in Spin Ice
• A spin liquid with pinch-line singularities on the pyrochlore lattice
• Time-reversal symmetric U(1) quantum spin liquids
• Thermal conductivity of quantum magnetic monopoles in the frustrated pyrochlore Yb2Ti2O7
• Competing spin liquids and hidden nematic order in spin ice with frustrated transverse exchange
• Dynamics of Topological Excitations in a Model Quantum Spin Ice
• Bosonic Many-body Theory of Quantum Spin Ice
• The quantum origins of moment fragmentation in Nd2Zr2O7
• 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${}_7$
• Thermodynamic properties of the Yb2Ti2O7 pyrochlore as a function of temperature and magnetic field: validation of a quantum spin ice exchange Hamiltonian
• Quantum criticality of two-dimensional quantum magnets with long-range interactions
• Experimental signatures of quantum and topological states in frustrated magnetism
• Spin slush in an extended spin ice model
• Scars from protected zero modes and beyond in $U(1)$ quantum link and quantum dimer models
• 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
• 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
• Instabilities of a U(1) quantum spin liquid in disordered non-Kramers pyrochlores
• Ground state phase diagram of dipolar-octupolar pyrochlores
• The Ising model in a light-induced quantized transverse field
• Order out of a Coulomb phase and Higgs transtion: frustrated transverse interactions of Nd2Zr2O7
• Crystal Shape-Dependent Magnetic Susceptibility and Curie Law Crossover in the Spin Ices Dy2Ti2O7 and Ho2Ti2O7
• Quantum versus Classical Spin Fragmentation in Dipolar Kagome Ice Ho3Mg2Sb3O14
• Classical and quantum theories of proton disorder in hexagonal water ice
• A novel type of splayed ferromagnetic order observed in Yb2Ti2O7
• Order-by-disorder and quantum Coulomb phase in quantum square ice
• Kitaev Quantum Spin Liquids
• Competing phases and topological excitations of spin-one pyrochlore antiferromagnets
• 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
• Uncovering footprints of dipolar-octupolar quantum spin ice from neutron scattering signatures
• Coulomb liquid phases of bosonic cluster Mott insulators on a pyrochlore lattice
• Interplay of charge and spin fluctuations of strongly interacting electrons on the kagome lattice
• Ultrasonic investigations of spin-ices Dy${}_2$Ti${}_2$O${}_7$ and Ho${}_2$Ti${}_2$O${}_7$ in and out of equilibrium
• 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
• Generalised Longitudinal Susceptibility for Magnetic Monopoles in Spin Ice
• Anisotropic exchange Hamiltonian, magnetic phase diagram and domain inversion of Nd${}_2$Zr${}_2$O${}_7$
• Monopole holes in a partially ordered spin liquid
• Quantum Spin Ice Response to a Magnetic Field in the Dipole-Octupole Pyrochlore Ce${}_2$Zr${}_2$O${}_7$
• Acoustic signatures of the phases and phase transitions in Yb${}_2$Ti${}_2$O${}_7$
• Spinon walk in quantum spin ice
• Frustrated magnetism in the Heisenberg pyrochlore antiferromagnets $A$Yb${}_2$$X$${}_4$ ($A$ = Cd, Mg, $X$ = S, Se)
• Hierarchy of energy scales and field-tunable order by disorder in dipolar-octupolar pyrochlores
• Spectroscopic signatures of fractionalization in octupolar quantum spin ice
• Fingerprints of quantum spin ice in Raman scattering
• Anisotropic Quantum Spin Hall Effect, Spin-Orbital Textures and Mott Transition
• Mott transition and Antiferromagnetic Metal on Shastry-Sutherland Lattice
• Extended Coulomb liquid of paired hardcore boson model on a pyrochlore lattice
• Free coherent spinons in quantum square ice
• Sublattice scars and beyond in two-dimensional $U(1)$ quantum link lattice gauge theories
• Spectroscopy of spinons in Coulomb quantum spin liquids
• Dynamical stability of the quantum Lifshitz theory in 2+1 Dimensions
• Low-temperature heat transport of the geometrically frustrated antiferromagnets R_2Ti_2O_7 (R = Gd and Er)
• Quantum spin ice in three-dimensional Rydberg atom arrays
• Anomalous Magnetoresistance by Breaking Ice Rule in Bi2Ir2O7/Dy2Ti2O7 Heterostructure
• Electric field control of emergent electrodynamics in quantum spin ice
• Semi-classical Approach to Quantum Spin Ice
• Fractionalization and Anomalies in Symmetry-Enriched U(1) Gauge Theories
• Seeing beyond the light: Vison and photon electrodynamics in quantum spin ice
• Deviation from the dipole-ice model in the new spinel spin-ice candidate, MgEr${}_2$Se${}_4$
• Monte Carlo study of the discontinuous quantum phase transition in the transverse-field Ising model on the pyrochlore lattice
• Analytical theory for proton correlations in common water ice $I_h$
• Prethermal time-crystalline spin ice and monopole confinement in a driven magnet
• Topological orders of monopoles and hedgehogs: From electronic and magnetic spin-orbit coupling to quarks
• $\mu$SR Study of the Dipole-Octupole Quantum Spin Ice Candidate Ce${}_2$Zr${}_2$O${}_7$
• Emergent photons and fractionalized excitations in a quantum spin liquid
• Peering into the darkness: vison-generated photon mass in quantum spin ice
• Gauge Field and Confinement-Deconfinement Transition in Hydrogen-Bonded Ferroelectrics
• Tunneling-induced restoration of classical degeneracy in quantum kagome ice
• The Classical Heisenberg Model on the Centred Pyrochlore Lattice
• Ultrasound detection of emergent photons in generic quantum spin ice
• Four-coloring model and frustrated superfluidity in the diamond lattice
• Dynamical Axions in $U(1)$ Quantum Spin Liquids
• Emergent Gauge Fields in Band Insulators
• Magnetic field and thermal Hall effect in a pyrochlore U(1) quantum spin liquid
• Dynamical Signatures of Rank-2 $U(1)$ Spin Liquids
• Finite Temperature Dynamics in 0-Flux and $\pi$-Flux Quantum Spin Ice: Self-Consistent Exclusive Boson Approach
• Dipolar-octupolar correlations and hierarchy of exchange interactions in Ce${}_2$Hf${}_2$O${}_7$
• Classical ${\mathbb{Z}}_2$ spin liquid on the generalized four-color Kitaev model
• Hidden phases born of a quantum spin liquid: Application to pyrochlore spin ice
• Probing emergent QED in quantum spin ice via Raman scattering of phonons: shallow inelastic scattering and pair production
• Long-wavelength correlations in ferromagnetic titanate pyrochlores as revealed by small angle neutron scattering
• 2-Form U(1) Spin Liquids: Classical Model and Quantum Aspects
• Finite-Temperature Signatures of Spin Liquids in Frustrated Hubbard Model
• Signatures of spinon dynamics and phase structure of dipolar-octupolar quantum spin ices in two-dimensional coherent spectroscopy
• Pinch points and half-moons in dipolar-octupolar Nd${}_2$Hf${}_2$O${}_7$
• Field-temperature phase diagram of the enigmatic Nd${}_2$(Zr${}_{1-x}$Ti${}_x$)${}_2$O${}_7$ pyrochlore magnets
• Kitaev honeycomb antiferromagnet in a field: quantum phase diagram for general spin
• Quantum valence bond ice theory for proton-driven quantum spin-dipole liquids
• Interplay of uniform U(1) quantum spin liquid and magnetic phases in rare earth pyrochlore magnets : a fermionic parton approach
• Classical spin models of the windmill lattice and their relevance for PbCuTe${}_2$O${}_6$
• Magnetic Field Response of Dipolar-Octupolar Quantum Spin Ice
• Exact diagonalization for spin-1/2 spin ice pyrochlores
• Breakdown of the thermodynamic limit in quantum spin and dimer models
• Confinement, reduced entanglement, and spin-glass order in a random quantum spin-ice model
• Quantum Spin Liquids in Pyrochlore Magnets With Non-Kramers Local Moments
• Crystalline phases and devil's staircase in qubit spin ice
• The Boson-Hubbard Model on a Kagome Lattice with Sextic Ring-Exchange Terms
• Generalised route to effective field theories for quantum systems with local constraints
• Low-temperature high-frequency dynamic magnetic susceptibility of classical spin-ice Dy${}_2$Ti${}_2$O${}_7$
• Coupling quantum spin ice to matter on the centered pyrochlore lattice
• Quantum Spin Liquids Stabilized by Disorder in Non-Kramers Pyrochlores
• Influence of controlled disorder on the dipolar spin ice state of Ho-based pyrochlores
• Classical ground states, spin-wave and PCUT analysis of ${\mathrm{H}}_2\mathrm{SQ}$ system
• Mean-field theory for confinement transitions and magnetization plateaux in spin ice
• Dipole-dipole interaction induced phases in Hydrogen-bonded squaric acid crystal
• Theta electromagnetism in quantum spin ice: Microscopic analysis of improper symmetries
• Hearing the light: stray-field noise from the emergent photon in quantum spin ice
• Towards a global phase diagram of Ce-based dipolar-octupolar pyrochlore magnets under magnetic fields
• Anisotropic Spin Ice on a Breathing Pyrochlore Lattice
• Ground state many-body quantum entanglement of frustrated transverse field models on square lattice
• Unveiling the Fifth State of Matter: Insights into Ultra-Hot Plasma and its Applications
• Doped resonating-valence-bond states: Robustness of the spin-ice phases in three-dimensional Rydberg arrays