Quantum spin liquids are exotic states of matter that form when strongly frustrated magnetic interactions induce a highly entangled quantum paramagnet far below the energy scale of the magnetic interactions. Three-dimensional cases are especially challenging due to the significant reduction of the influence of quantum fluctuations. Here, we report the magnetic characterization of K2Ni2(SO4)(3) forming a three-dimensional network of Ni2+ spins. Using density functional theory calculations, we show that this network consists of two interconnected spin-1 trillium lattices. In the absence of a magnetic field, magnetization, specific heat, neutron scattering, and muon spin relaxation experiments demonstrate a highly correlated and dynamic state, coexisting with a peculiar, very small static component exhibiting a strongly renonnalized moment. A magnetic field B greater than or similar to 4 T diminishes the ordered component and drives the system into a pure quantum spin liquid state. This shows that a system of interconnected S = 1 trillium lattices exhibits a significantly elevated level of geometrical frustration.
Henrik Moodysson Rønnow, Frédéric Mila, Bruce Normand, Jian Rui Soh, Ellen Fogh, Mithilesh Nayak, Alexandra Angeline Turrini
Basil Duval, Filippo Bagnato, Aylwin Iantchenko, Oleg Krutkin
Henrik Moodysson Rønnow, Ivica Zivkovic, Richard Gaal, Wen Hua Bi, Jana Pásztorová