Spectroscopic signatures of fractionalization in octupolar quantum spin ice

Abstract

Recent investigations on the dipolar-octupolar compounds Ce${}_2$Zr${}_2$O${}_7$ and Ce${}_2$Sn${}_2$O${}_7$ suggest that they may stabilize so-called $\pi$-flux octupolar quantum spin ice ($\pi$-O-QSI), a novel three-dimensional quantum spin liquid hosting emergent photons. Confirmation of such an exotic phase would require the prediction of a distinctive signature and its subsequent experimental observation. So far, however, theoretical predictions for any such sharp smoking-gun signatures are lacking. In this Letter, we thoroughly investigate O-QSI using an extension of gauge mean-field theory. This framework produces a phase diagram consistent with previous studies and an energy-integrated neutron scattering signal with intensity-modulated rod motifs, as reported in experiments and numerical studies. We predict that the dynamical spin structure factor of $\pi$-O-QSI is characterized by a broad continuum with three distinctive peaks as a consequence of the two mostly flat spinon bands. These three peaks should be measurable by high-resolution inelastic neutron scattering. Such spectroscopic signatures would be clear evidence for the realization of $\pi$-flux quantum spin ice.

arXiv comment7+25 pages, 4+11 figures

References in corpus (49)

• Quantum Spin Liquids
• Quantum Spin Liquid States
• Quantum Spin Liquids
• Quantum Orders and Symmetric Spin Liquids
• Zoo of quantum-topological phases of matter
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• A Field Guide to Spin Liquids
• Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in Pyrochlore Magnets
• The "Coulomb phase" in frustrated systems
• Spin Ice, Fractionalization and Topological Order
• Coulombic Quantum Liquids in Spin-1/2 Pyrochlores
• Spontaneous Magnon Decays
• Spin Liquid States on the Triangular and Kagome Lattices: A Projective Symmetry Group Analysis of Schwinger Boson States
• Seeing the light : experimental signatures of emergent electromagnetism in a quantum spin ice
• Generic quantum spin ice
• 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 Ice : a quantum Monte Carlo study
• Unusual liquid state of hard-core bosons on the pyrochlore lattice
• Quantum Spin Ice Dynamics in the Dipole-Octupole Pyrochlore Magnet Ce${}_2$Zr${}_2$O${}_7$
• 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
• Magnon Decay in Noncollinear Quantum Antiferromagnets
• Projective symmetry group classification of chiral spin liquids
• A Schwinger-boson approach to the kagome with Dzyaloshinskii-Moriya interactions: phase diagram and dynamical structure factors
• Symmetry Enriched U(1) Topological Orders for Dipole-Octupole Doublets on a Pyrochlore Lattice
• Time-reversal-symmetry-breaking chiral spin liquids: a projective symmetry group approach of bosonic mean-field theories
• Numerical evidence of quantum melting of spin ice: quantum-classical crossover
• The case for a U(1)${}_{\pi }$ Quantum Spin Liquid Ground State in the Dipole-Octupole Pyrochlore Ce${}_2$Zr${}_2$O${}_7$
• 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
• Spin Liquid Regimes at Nonzero Temperature in Quantum Spin Ice
• Quantum spin ice with frustrated transverse exchange: from pi-flux phase to nematic quantum spin liquid
• Spectroscopic signatures of crystal momentum fractionalization
• The Spectral Periodicity of Spinon Continuum in Quantum Spin Ice
• Pyrochlore U(1) spin liquid of mixed symmetry enrichments in magnetic fields
• Ground state phase diagram of dipolar-octupolar pyrochlores
• Distinguishing dipolar and octupolar quantum spin ices using contrasting magnetostriction signatures
• Magnetic field effects in an octupolar quantum spin liquid candidate
• Crystal-field states and defect levels in candidate quantum spin ice Ce${}_2$Hf${}_2$O${}_7$
• Uncovering footprints of dipolar-octupolar quantum spin ice from neutron scattering signatures
• Competing $U(1)$ and ${\mathbb{Z}}_2$ dipolar-octupolar quantum spin liquids on the pyrochlore lattice: application to Ce${}_2$Zr${}_2$O${}_7$
• Dipolar spin ice regime proximate to an all-in-all-out Néel ground state in the dipolar-octupolar pyrochlore Ce${}_2$Sn${}_2$O${}_7$
• Symmetry fractionalization in the gauge mean-field theory of quantum spin ice
• Extended Coulomb liquid of paired hardcore boson model on a pyrochlore lattice
• Rod motifs in neutron scattering in spin ice
• Probing Flat Band Physics in Spin Ice Systems via Polarized Neutron Scattering

Cited by in corpus (13)

• Kitaev Quantum Spin Liquids
• Emergent photons and fractionalized excitations in a quantum spin liquid
• A pseudofermion functional renormalization group study of dipolar-octupolar pyrochlore magnets
• 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${}_7$
• 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${}_7$
• 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 Response of Dipolar-Octupolar Quantum Spin Ice
• Inelastic neutron scattering on Ce pyrochlores: Signatures of electric monopoles
• Quantum Spin Liquids Stabilized by Disorder in Non-Kramers Pyrochlores
• Towards a global phase diagram of Ce-based dipolar-octupolar pyrochlore magnets under magnetic fields