Quantum magnets with large "spin" can naturally host multipolar symmetry breaking which goes beyond dipole orders. These are most commonly studied in heavy fermion materials where the emergence of multipolar orders has been extensively explored. I will describe a bunch of recent experiments on d-orbital Mott insulators which suggest the emergence of octupolar order and competing quadrupolar orders. Our theory including microscopics, Landau theory, and Monte Carlo simulations provides a comprehensive understanding of neutron, muon spin rotation, and impurity NMR experiments, broadening the set of materials which we suggest host multipolar orders.
Refs: Phys. Rev. B 101, 054439 (2020); Phys. Rev. Lett. 124, 087206 (2020); Phys. Rev. B 101, 155118 (2020); Phys. Rev. B 104, 174431 (2021); arXiv:2211.07666 (under review).
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