Competing phases and topological excitations of spin-one pyrochlore antiferromagnets

Abstract

Most works on pyrochlore magnets deal with the interacting spin-1/2 local moments. We here study the spin-one local moments on the pyrochlore lattice, and propose a generic interacting spin model on a pyrochlore lattice. Our spin model includes the antiferromagnetic Heisenberg interaction, the Dzyaloshinskii-Moriya interaction and the single-ion spin anisotropy. We develop a flavor wave theory and combine with a mean-field approach to study the global phase diagram of this model and establish the relation between different phases in the phase diagram. We find the regime of the quantum paramagnetic phase where a degenerate line of the magnetic excitations emerges in the momentum space. We further predict the critical properties of the transition out of the quantum paramagnet to the proximate orders. The presence of quantum order by disorder in the parts of the ordered phases is then suggested. We point out the existence of degenerate and topological excitations in various phases. We discuss the relevance with fluoride pyrochlore material NaCaNi${}_2$F${}_7$ and explain the role of the spin-orbit coupling and the magnetic structures of the Ru-based pyrochlore A${}_2$Ru${}_2$O${}_7$ and the Mo-based pyrochlore A${}_2$Mo${}_2$O${}_7$.

12+6 pages, 10+6 figures, 1+1 tables

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Cited by in corpus (23)

• Topological Magnons: A Review
• Dynamical structure factor of the three-dimensional quantum spin liquid candidate NaCaNi${}_2$F${}_7$
• Thermal Hall effects in quantum magnets
• Topological Phases in Magnonics
• Topological magnons with nodal-line and triple-point degeneracies: Implications for thermal Hall effect in pyrochlore iridates
• Magnonic Weyl states in Cu2OSeO3
• Thermodynamics of the pyrochlore-lattice quantum Heisenberg antiferromagnet
• Dipolar spin waves in uniaxial easy-axis antiferromagnets: A natural topological nodal-line semimetal
• Magnonic Analogue of Edelstein Effect in Antiferromagnetic Insulators
• Featureless quantum paramagnet with frustrated criticality and competing spiral magnetism on spin-1 honeycomb lattice magnet
• The Curious Case of NiRh${}_2$O${}_4$: A Spin-Orbit Entangled Diamond Lattice Paramagnet
• Asymmetric Ferromagnetic Criticality in Pyrochlore Ferromagnet Lu${}_2$V${}_2$O${}_7$
• $\mu$SR study of spin freezing and persistent spin dynamics in NaCaNi${}_2$F${}_7$
• Quadrupole moments and their interactions in the triangular lattice antiferromagnet FeI${}_2$
• Electronic structure of the frustrated diamond lattice magnet NiRh${}_2$O${}_4$
• Collective magnetic Higgs excitation in a pyrochlore ruthenate
• Upper branch thermal Hall effect in quantum paramagnets
• Robust noncoplanar magnetism in band filling-tuned (Nd${}_{1-x}$Ca${}_x$)${}_2$Mo${}_2$O${}_7$
• Flavor Nernst effects in quantum paramagnets
• Magnon bands in pyrochlore slabs with Heisenberg exchange and anisotropies
• Nematic correlations and nematic Berezinskii-Kosterlitz-Thouless transition in spin-1 kagome lattice antiferromagnets
• Spin amplitude wave due to dipole-quadrupole hybridization in spin-1 pyrochlore magnets
• Spin wave interactions in the pyrochlore Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions