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A recently discovered material, 6H-B-Ba3NiSb2O9 was found to display unusuallow-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 anAB stacked triangular lattice near its quantum paramagnet-to-spiral magnettransition, driven by easy-plane single-ion anisotropy. We demonstrate that thefrustrated inter- and intra-layer exchange interactions induce contour lines oflow energy excitations that lead to a broad crossover regime oflinear-temperature dependence of the specific heat. Based on this and a varietyof other predictions, we argue that the observed phenomenology can beunderstood in terms of a conventional picture of a proximity to this frustratedcritical point.

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