Quantum Melting of Spin Ice: Emergent Cooperative Quadrupole and Chirality

Abstract

A quantum melting of the spin ice is proposed for pyrochlore-lattice magnets Pr${}_{2}T{M}_2$O${}_7$ ($TM=$Ir, Zr, and Sn). The quantum superexchange Hamiltonian having a nontrivial magnetic anisotropy is derived in the basis of atomic non-Kramers magnetic doublets. The ground states exhibit a cooperative ferroquadrupole and pseudospin chirality, forming a magnetic analog of smectic liquid crystals. Our theory accounts for dynamic spin-ice behaviors experimentally observed in Pr${}_{2}T{M}_2$O${}_7$.

4 pages including 4 fgures; accepted for publication in Phys. Rev. Lett.; powder-neutron scatteing profile added in favorable comparison with experiment

References in corpus (5)

• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Dirac Strings and Magnetic Monopoles in Spin Ice Dy2Ti2O7
• Dynamically-Induced Frustration as a Route to a Quantum Spin Ice State in Tb2Ti2O7 via Virtual Crystal Field Excitations and Quantum Many-Body Effects
• Thermal quenches in spin ice
• Weak quasistatic magnetism in the frustrated Kondo lattice Pr_2Ir_2O_7

Cited by in corpus (111)

• Correlated quantum phenomena in the strong spin-orbit regime
• Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in Pyrochlore Magnets
• Rare-earth triangular lattice spin liquid: a single-crystal study of YbMgGaO${}_4$
• Seeing the light : experimental signatures of emergent electromagnetism in a quantum spin ice
• Rare-earth chalcogenides: A large family of triangular lattice spin liquid candidate
• Generic quantum spin ice
• Higgs transition from a magnetic Coulomb liquid to a ferromagnet in Yb_2Ti_2O_7
• An anisotropic spin model of strong spin-orbit-coupled triangular antiferromagnets
• Quantum Ice : a quantum Monte Carlo study
• Quantum fluctuations in the effective pseudospin-1/2 model for magnetic pyrochlore oxides
• Quantum order by disorder and accidental soft mode Er2Ti2O7
• Quantum criticality in a metallic spin liquid
• 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${}_7$
• A quantum liquid of magnetic octupoles on the pyrochlore lattice
• Experimental signatures of emergent quantum electrodynamics in Pr${}_2$Hf${}_2$O${}_7$
• Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions
• Long-range order and spin-liquid states of polycrystalline Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Magnetic Frustration in Lead Pyrochlores
• Numerical evidence of quantum melting of spin ice: quantum-classical crossover
• Spin Dynamics at Very Low Temperature in Spin Ice Dy${}_2$Ti${}_2$O${}_7$
• 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
• Anisotropic exchange within decoupled tetrahedra in the quantum breathing pyrochlore Ba3Yb2Zn5O11
• Candidate quantum spin ice in the pyrochlore Pr${}_2$Hf${}_2$O${}_7$
• Unconventional Magnetic Ground State in Yb${}_2$Ti${}_2$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
• 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${}_7$
• Magnetic order, magnetic correlations and spin dynamics in the pyrochlore antiferromagnet Er2Ti2O7
• Coulomb spin liquid in anion-disordered pyrochlore Tb${}_2$Hf${}_2$O${}_7$
• Bosonic Many-body Theory of Quantum Spin Ice
• Antiferromagnetic Spin Ice Correlations at (1/2,1/2,1/2) in the Ground State of the Pyrochlore Magnet Tb2Ti2O7
• Synthesis, floating zone crystal growth and characterization of the Quantum Spin Ice $\mathrm{P}{\mathrm{r}}_2\mathrm{Z}{\mathrm{r}}_2{\mathrm{O}}_7$ pyrochlore
• Spin liquid correlations, anisotropic exchange and symmetry breaking in Tb2Ti2O7
• Competing orders and topology in the global phase diagram of pyrochlore iridates
• Anisotropic hysteretic Hall-effect and magnetic control of chiral domains in the chiral spin states of Pr${}_2$Ir${}_2$O${}_7$
• Thermal Hall effects in quantum magnets
• Signatures of a gearwheel quantum spin liquid in a spin-$\frac{1}{2}$ pyrochlore molybdate Heisenberg antiferromagnet
• X-ray scattering study of pyrochlore iridates: crystal structure, electronic and magnetic excitations
• Quantum spin ice with frustrated transverse exchange: from pi-flux phase to nematic quantum spin liquid
• Comparative studies of low temperature X-ray diffraction experiments on R2Ir2O7 (R = Nd, Eu, and Pr)
• RKKY interactions and anomalous Hall effect in metallic rare-earth pyrochlores
• Selective measurements of intertwined multipolar orders: non-Kramers doublets on a triangular lattice
• Static magnetic moments revealed by muon spin relaxation and thermodynamic measurements in quantum spin ice Yb${}_2$Ti${}_2$O${}_7$
• Novel Strongly Spin-Orbit Coupled Quantum Dimer Magnet: Yb${}_2$Si${}_2$O${}_7$
• The Spectral Periodicity of Spinon Continuum in Quantum Spin Ice
• Partial up-up-down order with the continuously distributed order parameter in the triangular antiferromagnet TmMgGaO4
• Effective quantum pseudospin-1/2 model for Yb pyrochlore oxides
• Dirac's "magnetic monopole" in pyrochlore ice U(1) spin liquids: Spectrum and classification
• Absence of zero-point entropy in a triangular Ising antiferromagnet
• Nature of finite-temperature transition in anisotropic pyrochlore Er2Ti2O7
• Order from structural disorder in $XY$ pyrochlore antiferromagnet $\mathrm{E}{\mathrm{r}}_2\mathrm{T}{\mathrm{i}}_2{\mathrm{O}}_7$
• Instabilities of a U(1) quantum spin liquid in disordered non-Kramers pyrochlores
• Pyrochlore U(1) spin liquid of mixed symmetry enrichments in magnetic fields
• Generic nearest-neighbour kagome model: XYZ & Dzyaloshinskii-Moriya, and comparison to pyrochlore
• Chiral RKKY interaction in Pr2Ir2O7
• Order out of a Coulomb phase and Higgs transtion: frustrated transverse interactions of Nd2Zr2O7
• A novel type of splayed ferromagnetic order observed in Yb2Ti2O7
• Competing phases and topological excitations of spin-one pyrochlore antiferromagnets
• Unravelling competing microscopic interactions at a phase boundary: a single crystal study of the metastable antiferromagnetic pyrochlore Yb${}_2$Ge${}_2$O${}_7$
• Spin dynamics of the ordered dipolar-octupolar pseudospin-${}^1{/}_2$ pyrochlore Nd${}_2$Zr${}_2$O${}_7$ probed by muon spin relaxation
• 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
• Finite-temperature phase transition to $m=1/2$ plateau phase in a S=1/2 XXZ model on Shastry-Sutherland Lattices
• Crystal-field states and defect levels in candidate quantum spin ice Ce${}_2$Hf${}_2$O${}_7$
• Electronic transport in the Coulomb phase of the pyrochlore spin ice
• Possible gapless spin liquid in a rare-earth kagomé lattice magnet Tm${}_3$Sb${}_3$Zn${}_2$O${}_{14}$
• Quantum spin ice under a [111] magnetic field: from pyrochlore to kagomé
• Pr${}_2$Ir${}_2$O${}_7$: when Luttinger semimetal meets Melko-Hertog-Gingras spin ice state
• Discovery of Emergent Photon and Monopoles in a Quantum Spin Liquid
• Weak magnetic transitions in pyrochlore Bi2Ir2O7
• Anisotropic exchange Hamiltonian, magnetic phase diagram and domain inversion of Nd${}_2$Zr${}_2$O${}_7$
• Incipient Ferromagnetism in Tb2Ge2O7: Application of Chemical Pressure to the Enigmatic Spin Liquid, Tb2Ti2O7
• Theory of magnetostriction for multipolar quantum spin ice in pyrochlore materials
• Spin excitations in the quantum dipolar magnet Yb(BaBO${}_3$)${}_3$
• Probing octupolar hidden order via Janus impurities
• Gapped ground state in the zigzag pseudospin-1/2 quantum antiferromagnetic chain compound PrTiNbO6
• 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
• Spin ice thin films: Large-N theory and Monte Carlo simulations
• Topological Superconductivity in Metal/Quantum-Spin-Ice Heterostructures
• Extended Coulomb liquid of paired hardcore boson model on a pyrochlore lattice
• Frustrated Magnetism in Triangular Lattice TlYbS${}_2$ Crystals Grown via Molten Flux
• Upper branch magnetism in quantum magnets: Collapses of excited levels and emergent selection rules
• Deviation from the dipole-ice model in the new spinel spin-ice candidate, MgEr${}_2$Se${}_4$
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• Symmetry breaking via Kondo hybridization: Chiral nematic metal in Pr2Ir2O7
• Slow spin tunneling in the paramagnetic phase of the pyrochlore Nd2Sn2O7
• Unusual double-peak specific heat and spin freezing in a spin-2 triangular lattice antiferromagnet FeAl${}_2$Se${}_4$
• Quadrupole order in the frustrated pyrochlore magnet Tb${}_2$Ti${}_2$O${}_7$
• Exchange interactions in two-state systems: rare earth pyrochlores
• Unified description of resistivity and thermopower of Pr${}_2$Ir${}_2$O${}_7$: possible influence of crystal field excitation in a Kondo lattice
• Melting of spin ice state and development of fifth order susceptibility with magnetic field in pyrochlore Tb2Sn2O7
• Magnetic field and thermal Hall effect in a pyrochlore U(1) quantum spin liquid
• Spin ice in a general applied magnetic field: Kasteleyn transition, magnetic torque and rotational magnetocaloric effect
• Dipolar-octupolar correlations and hierarchy of exchange interactions in Ce${}_2$Hf${}_2$O${}_7$
• Thermodynamic properties of quadrupolar states in the frustrated pyrochlore magnet Tb${}_2$Ti${}_2$O${}_7$
• Quadrupole moments and their interactions in the triangular lattice antiferromagnet FeI${}_2$
• 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
• Probing emergent QED in quantum spin ice via Raman scattering of phonons: shallow inelastic scattering and pair production
• Thermodynamics of the dipole-octupole pyrochlore magnet Ce${}_2$Hf${}_2$O${}_7$ in applied magnetic fields
• Vison crystal in quantum spin ice on the breathing pyrochlore lattice
• Collective magnetic state induced by charge disorder in the non-Kramers rare-earth pyrochlore Tb${}_2$ScNbO${}_7$
• Crystalline phases and devil's staircase in qubit spin ice
• Spin and quadrupole correlations by three-spin interaction in the frustrated pyrochlore magnet Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• First-principles design of the spinel iridate Ir2O4 for high-temperature quantum spin ice
• Analytic description of spin waves in dipolar/octupolar pyrochlore magnets
• Disorder and Quantum spin ice