In a spin-1 pyrochlore model derived from Fe2+ spinel oxides, the competition between anisotropic Jz± exchange and easy-plane single-ion anisotropy produces amplitude-wave ground states in which dipolar and quadrupolar moments fragment across sublattices in 2:2 or 1:3 ratios.
This Hamiltonian is obtained by projecting the Kugel-Khomskii Hamiltonian (A10) onto the Jeff = 1 manifold, Heff = PJeff =1HKKPJeff =1
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Spin amplitude wave due to dipole-quadrupole hybridization in spin-1 pyrochlore magnets
In a spin-1 pyrochlore model derived from Fe2+ spinel oxides, the competition between anisotropic Jz± exchange and easy-plane single-ion anisotropy produces amplitude-wave ground states in which dipolar and quadrupolar moments fragment across sublattices in 2:2 or 1:3 ratios.