Dirac's "magnetic monopole" in pyrochlore ice U(1) spin liquids: Spectrum and classification

Abstract

We study the U(1) quantum spin liquid on the pyrochlore spin ice systems. For the non-Kramers doublets such as Pr${}^{3+}$ and Tb${}^{3+}$, we point out that the inelastic neutron scattering not only detects the low-energy gauge photon, but also contains the continuum of the "magnetic monopole" excitations. Unlike the spinons, these "magnetic monopoles" are purely of quantum origin and have no classical analogue. We further point out that the "magnetic monopole" experiences a background dual "$\pi$" flux due to the spin-1/2 nature of the local moment when the "monopole" hops on the dual diamond lattice. We then predict that the "monopole" continuum has an enhanced spectral periodicity. This prediction can be examined among the existing data on the non-Kramers doublet spin liquid candidate materials like Pr${}_2$TM${}_2$O${}_7$ and Tb${}_2$TM${}_2$O${}_7$ (with TM = "transition metal"). The application to the Kramers doublet systems and numerical simulation is further discussed. Finally, we present a general classification of distinct symmetry enriched U(1) quantum spin liquids based on the translation symmetry fractionalization patterns of "monopoles" and "spinons".

arXiv comment8 pages, 2 figures, 2 tables, update title, small correction

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Cited by in corpus (35)

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• Rank-2 $U(1)$ spin liquid on the breathing pyrochlore lattice
• Two-dimensional spin liquid behaviour in the triangular-honeycomb antiferromagnet TbInO${}_3$
• Competing spin liquids and hidden nematic order in spin ice with frustrated transverse exchange
• Thermal Hall effects in quantum magnets
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• Pyrochlore U(1) spin liquid of mixed symmetry enrichments in magnetic fields
• Symmetry enriched U(1) quantum spin liquids
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• Magnetic field effects in an octupolar quantum spin liquid candidate
• Possible gapless spin liquid in a rare-earth kagomé lattice magnet Tm${}_3$Sb${}_3$Zn${}_2$O${}_{14}$
• Featureless quantum paramagnet with frustrated criticality and competing spiral magnetism on spin-1 honeycomb lattice magnet
• 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
• Upper branch magnetism in quantum magnets: Collapses of excited levels and emergent selection rules
• Seeing beyond the light: Vison and photon electrodynamics in quantum spin ice
• Continuum excitation and pseudospin wave in quantum spin-liquid and quadrupole ordered states of Tb${}_{2+x}$Ti${}_{2-x}$O${}_{7+y}$
• Epitaxial stabilization of (111)-oriented frustrated quantum pyrochlore thin films
• Asymmetric Ferromagnetic Criticality in Pyrochlore Ferromagnet Lu${}_2$V${}_2$O${}_7$
• Peering into the darkness: vison-generated photon mass in quantum spin ice
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• Quantum percolation of monopole paths and the response of quantum spin ice
• Dynamical Signatures of Rank-2 $U(1)$ Spin Liquids
• Trimer classical spin liquid from interacting fractional charges
• Is spontaneous vortex generation in superconducting 4Hb-TaS${}_2$ from vison-vortex nucleation with ${\mathbb{Z}}_2$ topological order?
• Inelastic neutron scattering on Ce pyrochlores: Signatures of electric monopoles
• Flux roughening in spin ice with mixed $\pm J$ interactions
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• Quantum Spin Liquids Stabilized by Disorder in Non-Kramers Pyrochlores
• Influence of controlled disorder on the dipolar spin ice state of Ho-based pyrochlores
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