Frustrated quantum critical theory of putative spin-liquid phenomenology in 6H-B-Ba3NiSb2O9

Abstract

A recently discovered material, 6H-B-Ba3NiSb2O9 was found to display unusual low-temperature phenomenology, interpreted as a quantum spin liquid with spin S = 1 on a triangular lattice. We study a spin S = 1 quantum exchange model on an AB stacked triangular lattice near its quantum paramagnet-to-spiral magnet transition, driven by easy-plane single-ion anisotropy. We demonstrate that the frustrated inter- and intra-layer exchange interactions induce contour lines of low energy excitations that lead to a broad crossover regime of linear-temperature dependence of the specific heat. Based on this and a variety of other predictions, we argue that the observed phenomenology can be understood in terms of a conventional picture of a proximity to this frustrated critical point.

Various clarifying changes from original version. 5 pages, 5 figures

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• Spin-Liquid State in the S = 1/2 Hyperkagome Antiferromagnet Na4Ir3O8
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• Singlet Ground State of the Quantum Antiferromagnet Ba3CuSb2O9
• Evidence for a spinon Fermi surface in the triangular S=1 quantum spin liquid Ba${}_3$NiSb${}_2$O${}_9$
• Persistent low-temperature spin dynamics in the mixed-valence iridate Ba${}_3$InIr${}_2$O${}_9$
• Spiral spin-liquid on a honeycomb lattice
• Generic Spiral Spin Liquids
• Disorder driven spin-orbital liquid behaviour in the Ba${}_3$XSb${}_2$O${}_9$ materials
• Semi-classical simulation of spin-1 magnets
• Quantum Paramagnet and Frustrated Quantum Criticality in a Spin-One Diamond Lattice Antiferromagnet
• Spin nematic ground state of the triangular lattice S=1 biquadratic model
• Competing phases and topological excitations of spin-one pyrochlore antiferromagnets
• Low energy structure of spiral spin liquids
• Quantum spin state transitions in spin-1 equilateral triangular lattice antiferromagnet Na${}_2$BaNi(PO${}_4$)${}_2$
• Field Driven Quantum Criticality in the Spinel Magnet ZnCr${}_2$Se${}_4$
• Featureless quantum paramagnet with frustrated criticality and competing spiral magnetism on spin-1 honeycomb lattice magnet
• Emergent quantum criticality from spin-orbital entanglement in $d^8$ Mott insulators: the case of a diamond lattice antiferromagnet
• Three-dimensional nematic spin liquid in the stacked triangular lattice 6H-B structure
• Nematic correlations and nematic Berezinskii-Kosterlitz-Thouless transition in spin-1 kagome lattice antiferromagnets
• Decoupled Spin Chains in Ba${}_3$CuSb${}_2$O${}_9$