Unusual liquid state of hard-core bosons on the pyrochlore lattice

Abstract

We study the physics of hard-core bosons with unfrustrated hopping (t) and nearest-neighbor repulsion (V) on the three dimensional pyrochlore lattice. At half-filling, we demonstrate that the small V/t superfluid state eventually becomes unstable at large enough V/t to an unusual insulating state which displays no broken lattice translation symmetry. Equal time and static density correlators in this insulator are well described by a mapping to electric field correlators in the Coulomb phase of a U(1) lattice gauge theory, allowing us to identify this insulator with a U(1) fractionalized Mott-insulating state. The possibility of observing this phase in suitably designed atom-trap experiments with ultracold atoms is also discussed, as are specific experimental signatures.

arXiv commentpublished version

References in corpus (23)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Cold bosonic atoms in optical lattices
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Quantum Monte Carlo with Directed Loops
• Bragg spectroscopy of a Bose-Einstein condensate
• Z_2 Gauge Theory of Electron Fractionalization in Strongly Correlated Systems
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Probing many-body states of ultra-cold atoms via noise correlations
• Excitation of phonons in a Bose-Einstein condensate by light scattering
• Fractionalization in an Easy-axis Kagome Antiferromagnet
• Coulomb and Liquid Dimer Models in Three Dimensions
• Atomic quantum gases in Kagomé lattices
• Exotic order in simple models of bosonic systems
• Microscopic models for fractionalized phases in strongly correlated systems
• Magnets with strong geometric frustration
• Spin liquid phase in a $S=1/2$ quantum magnet on the kagome lattice
• Exotic quantum phases and phase transitions in correlated matter
• Emergence of Artificial Photons in an Optical Lattice
• Stochastic Cluster Series expansion for quantum spin systems
• Simulations of Quantum XXZ Models on Two-Dimensional Frustrated Lattices
• Theory Perspective: SCES '05 Vienna
• Observation of emergent photon in Monte Carlo simulation of exciton condensate

Cited by in corpus (125)

• Quantum Spin Liquids
• Symmetry Protected Topological phases of Quantum Matter
• Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in Pyrochlore Magnets
• Quantum Excitations in Quantum Spin Ice
• The "Coulomb phase" in frustrated systems
• Coulombic Quantum Liquids in Spin-1/2 Pyrochlores
• Boson topological insulators: A window into highly entangled quantum phases
• Seeing the light : experimental signatures of emergent electromagnetism in a quantum spin ice
• 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
• Quantum Ice : a quantum Monte Carlo study
• Quantum fluctuations in the effective pseudospin-1/2 model for magnetic pyrochlore oxides
• 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
• Bridging lattice-scale physics and continuum field theory with quantum Monte Carlo simulations
• Is the Yb2Ti2O7 pyrochlore a quantum spin ice?
• Frustration and quantum criticality
• Duality between $(2+1)d$ Quantum Critical Points
• Experimental signatures of emergent quantum electrodynamics in Pr${}_2$Hf${}_2$O${}_7$
• Half-filled Landau level, topological insulator surfaces, and three dimensional quantum spin liquids
• Fractonic Matter in Symmetry-Enriched U(1) Gauge Theory
• Experimental Insights into Ground State Selection of Quantum XY Pyrochlores
• Numerical evidence of quantum melting of spin ice: quantum-classical crossover
• Rank-2 $U(1)$ spin liquid on the breathing pyrochlore lattice
• Pinch Point Singularities of Tensor Spin Liquids
• Dynamical structure factor of the three-dimensional quantum spin liquid candidate NaCaNi${}_2$F${}_7$
• Dimensional Evolution of Spin Correlations in the Magnetic Pyrochlore Yb2Ti2O7
• A spin liquid with pinch-line singularities on the pyrochlore lattice
• Time-reversal symmetric U(1) quantum spin liquids
• Fractionally charged topological point defects on the kagome lattice
• Competing spin liquids and hidden nematic order in spin ice with frustrated transverse exchange
• The quantum origins of moment fragmentation in Nd2Zr2O7
• Dynamics of Topological Excitations in a Model Quantum Spin Ice
• Bosonic Many-body Theory of Quantum Spin Ice
• Magnetic monopole condensation in pyrochlore ice quantum spin liquid: application to Pr2Ir2O7 and Yb2Ti2O7
• Spin Liquid Regimes at Nonzero Temperature in Quantum Spin Ice
• Ground-state phase diagram of an anisotropic spin-$1/2$ model on the triangular lattice
• Spin-Ice State of the Quantum Heisenberg Antiferromagnet on the Pyrochlore Lattice
• Thermodynamic properties of the Yb2Ti2O7 pyrochlore as a function of temperature and magnetic field: validation of a quantum spin ice exchange Hamiltonian
• Sign-problem-free Monte Carlo simulation of certain frustrated quantum magnets
• Signatures of a gearwheel quantum spin liquid in a spin-$\frac{1}{2}$ pyrochlore molybdate Heisenberg antiferromagnet
• Extended quantum U(1)-liquid phase in a three-dimensional quantum dimer model
• Spin slush in an extended spin ice model
• Phases and magnetization process of an anisotropic Shastry-Sutherland model
• Quantum spin ice with frustrated transverse exchange: from pi-flux phase to nematic quantum spin liquid
• Quantum spin ice on the breathing pyrochlore lattice
• 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
• Entanglement Entropy of U(1) Quantum Spin Liquids
• Symmetry Breaking on the Three-Dimensional Hyperkagome Lattice of Na_4Ir_3O_8
• Instabilities of a U(1) quantum spin liquid in disordered non-Kramers pyrochlores
• Ground state phase diagram of dipolar-octupolar pyrochlores
• Caution on emergent continuous symmetry: a Monte Carlo investigation of transverse-field frustrated Ising model on triangle and honeycomb lattices
• A quantum liquid with deconfined fractional excitations in three dimensions
• Magnetic properties of the spin-1/2 XXZ model on the Shastry-Sutherland lattice: Effect of long-range interactions
• Classical and quantum theories of proton disorder in hexagonal water ice
• Distinguishing dipolar and octupolar quantum spin ices using contrasting magnetostriction signatures
• Order-by-disorder and quantum Coulomb phase in quantum square ice
• Vacancy-induced spin textures and their interactions in a classical spin liquid
• Spin Ice Thin Film: Surface Ordering, Partial Magnetic Wetting and Emergent Square Ice
• Theory of Ca${}_{10}$Cr${}_7$O${}_{28}$ as a bilayer breathing-kagome magnet: Classical thermodynamics and semi-classical dynamics
• How many spin liquids are there in Ca${}_{10}$Cr${}_7$O${}_{28}$?
• Fractionalized charge excitations in a spin liquid on partially-filled pyrochlore lattice
• 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
• Spin-wave analysis of the transverse-field Ising model on the checkerboard lattice
• Theory of magnetostriction for multipolar quantum spin ice in pyrochlore materials
• Monopole holes in a partially ordered spin liquid
• Correlations and order parameter at a Coulomb-crystal phase transition in a three-dimensional dimer model
• Spinon walk in quantum spin ice
• Quantum Spin Ice Response to a Magnetic Field in the Dipole-Octupole Pyrochlore Ce${}_2$Zr${}_2$O${}_7$
• Frustrated magnetism in the Heisenberg pyrochlore antiferromagnets $A$Yb${}_2$$X$${}_4$ ($A$ = Cd, Mg, $X$ = S, Se)
• Spectroscopic signatures of fractionalization in octupolar quantum spin ice
• Fingerprints of quantum spin ice in Raman scattering
• Competing quantum spin liquids, gauge fluctuations, and anisotropic interactions in a breathing pyrochlore lattice
• Free coherent spinons in quantum square ice
• Extended Coulomb liquid of paired hardcore boson model on a pyrochlore lattice
• Spectroscopy of spinons in Coulomb quantum spin liquids
• Semi-classical Approach to Quantum Spin Ice
• Electric field control of emergent electrodynamics in quantum spin ice
• Quantum spin ice in three-dimensional Rydberg atom arrays
• 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
• Seeing beyond the light: Vison and photon electrodynamics in quantum spin ice
• $\mu$SR Study of the Dipole-Octupole Quantum Spin Ice Candidate Ce${}_2$Zr${}_2$O${}_7$
• Topological orders of monopoles and hedgehogs: From electronic and magnetic spin-orbit coupling to quarks
• Emergent photons and fractionalized excitations in a quantum spin liquid
• Peering into the darkness: vison-generated photon mass in quantum spin ice
• Multi-scale Quantum Criticality driven by Kondo-lattice Coupling in Pyrochlore Systems
• Clusterization transition between cluster Mott insulators on a breathing Kagomé lattice
• The Classical Heisenberg Model on the Centred Pyrochlore Lattice
• Ultrasound detection of emergent photons in generic quantum spin ice
• Exploring Bosonic and Fermionic Link Models on $(3+1)-$d tubes
• Dynamical Signatures of Rank-2 $U(1)$ Spin Liquids
• The Néel-VBS transition in three-dimensional SU($N$) antiferromagnets
• On the Entanglement Entropy of Maxwell Theory: A Condensed Matter Perspective
• Finite Temperature Dynamics in 0-Flux and $\pi$-Flux Quantum Spin Ice: Self-Consistent Exclusive Boson Approach
• 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
• Probing emergent QED in quantum spin ice via Raman scattering of phonons: shallow inelastic scattering and pair production
• Two-Peak Heat Capacity Accounts for $R\ln (2)$ Entropy and Ground State Access in the Dipole-Octupole Pyrochlore Ce${}_2$Hf${}_2$O${}_7$
• Frustrated antiferromagnetic honeycomb-tunnel-like lattice CuRE2Ge2O8 (RE=Pr, Nd, Sm, and Eu)
• Hidden phases born of a quantum spin liquid: Application to pyrochlore spin ice
• Interplay of uniform U(1) quantum spin liquid and magnetic phases in rare earth pyrochlore magnets : a fermionic parton approach
• Quantum Loop States in Spin-Orbital Models on the Honeycomb Lattice
• Magnetic Field Response of Dipolar-Octupolar Quantum Spin Ice
• Metal-insulator transitions in pyrochlore oxides
• 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 Spin Liquids in Pyrochlore Magnets With Non-Kramers Local Moments
• First-principles design of the spinel iridate Ir2O4 for high-temperature quantum spin ice
• Coupling quantum spin ice to matter on the centered pyrochlore lattice
• Detecting the Largest Correlations using the Correlation Density Matrix: a Quantum Monte Carlo Approach
• Geometric fragmentation and anomalous thermalization in cubic dimer model
• Flux fractionalization transition in anisotropic $S=1$ antiferromagnets and dimer-loop models
• 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
• Quantum Spin Superfluid from Bose-Einstein Condensation of Spinons in Pyrochlore Spin Ice
• Topological hard-core bosons on the honeycomb lattice