The Spectral Periodicity of Spinon Continuum in Quantum Spin Ice

Abstract

Motivated by the rapid experimental progress of quantum spin ice materials, we study the dynamical properties of pyrochlore spin ice in the U(1) spin liquid phases. In particular, we focus on the spinon excitations that appear at high energies and show up as an excitation continuum in the dynamic spin structure factor. The keen connection between the crystal symmetry fractionalization of the spinons and the spectral periodicity of the spinon continuum is emphasized and explicitly demonstrated. When the spinon experiences a background $\pi$ flux and the spinon continuum exhibits an enhanced spectral periodicity with a folded Brillouin zone, this spectral property can then be used to detect the spin quantum number fractionalization and U(1) spin liquid. Our prediction can be immediately examined by inelastic neutron scattering experiments among quantum spin ice materials with Kramers' doublets. Further application to the non-Kramers' doublets is discussed.

6 pages, 3 figures, 1 table, several corrections, to appear in PhysRevB

References in corpus (13)

• 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
• Classifying fractionalization: symmetry classification of gapped Z2 spin liquids in two dimensions
• Unusual liquid state of hard-core bosons on the pyrochlore lattice
• Is the Yb2Ti2O7 pyrochlore a quantum spin ice?
• Disordered Route to the Coulomb Quantum Spin Liquid: Random Transverse Fields on Spin Ice in Pr${}_2$Zr${}_2$O${}_7$
• Symmetry Enriched U(1) Topological Orders for Dipole-Octupole Doublets on a Pyrochlore Lattice
• Impact of Stoichiometry of Yb2Ti2O7 on its Physical Properties
• Bosonic Many-body Theory of Quantum Spin Ice
• Competing orders and topology in the global phase diagram of pyrochlore iridates
• Hidden multipolar orders of dipole-octupole doublets on a triangular lattice
• Coulomb liquid phases of bosonic cluster Mott insulators on a pyrochlore lattice
• Fingerprints of quantum spin ice in Raman scattering

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• Competing spin liquids and hidden nematic order in spin ice with frustrated transverse exchange
• Dynamics of Topological Excitations in a Model Quantum Spin Ice
• Sleuthing out exotic quantum spin liquidity in the pyrochlore magnet Ce${}_2$Zr${}_2$O${}_7$
• Thermal Hall effects in quantum magnets
• Quantum spin ice with frustrated transverse exchange: from pi-flux phase to nematic quantum spin liquid
• Dirac's "magnetic monopole" in pyrochlore ice U(1) spin liquids: Spectrum and classification
• Position-Dependent Excitations and UV/IR Mixing in the ${\mathbb{Z}}_N$ Rank-2 Toric Code and its Low-Energy Effective Field Theory
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• Symmetry enriched U(1) quantum spin liquids
• Competing phases and topological excitations of spin-one pyrochlore antiferromagnets
• Magnetic field effects in an octupolar quantum spin liquid candidate
• Competing $U(1)$ and ${\mathbb{Z}}_2$ dipolar-octupolar quantum spin liquids on the pyrochlore lattice: application to Ce${}_2$Zr${}_2$O${}_7$
• Uncovering footprints of dipolar-octupolar quantum spin ice from neutron scattering signatures
• Symmetry fractionalization in the gauge mean-field theory of quantum spin ice
• Spectroscopic signatures of fractionalization in octupolar quantum spin ice
• Spectroscopy of spinons in Coulomb quantum spin liquids
• Topological thermal Hall effect of "magnetic monopoles" in pyrochlore U(1) spin liquid
• Extended Coulomb liquid of paired hardcore boson model on a pyrochlore lattice
• Asymmetric Ferromagnetic Criticality in Pyrochlore Ferromagnet Lu${}_2$V${}_2$O${}_7$
• Emergent photons and fractionalized excitations in a quantum spin liquid
• Quantum percolation of monopole paths and the response of quantum spin ice
• A pseudofermion functional renormalization group study of dipolar-octupolar pyrochlore magnets
• Ultrasound detection of emergent photons in generic quantum spin ice
• 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
• Dipolar-octupolar correlations and hierarchy of exchange interactions in Ce${}_2$Hf${}_2$O${}_7$
• Is spontaneous vortex generation in superconducting 4Hb-TaS${}_2$ from vison-vortex nucleation with ${\mathbb{Z}}_2$ topological order?
• Thermodynamics of the dipole-octupole pyrochlore magnet Ce${}_2$Hf${}_2$O${}_7$ in applied magnetic fields
• Some experimental schemes to identify quantum spin liquids
• Vison crystal in quantum spin ice on the breathing pyrochlore lattice
• Broken-Symmetry Ground States of the Heisenberg model on the Pyrochlore Lattice
• Electric Field Response In Breathing Pyrochlores
• Magnetic Field Response of Dipolar-Octupolar Quantum Spin Ice
• Flux roughening in spin ice with mixed $\pm J$ interactions
• Coulombic antiferromagnet in spin-1/2 pyrochlores with dipole-octupole doublets
• Z${}_2$ topological orders in kagomé dipolar systems: Feedback from Rydberg quantum simulator