Degenerate perturbation theory on a multiorbital Hubbard model shows isotropic superexchange arises mainly from ground-state Kramers doublet hopping while anisotropy comes from excited multiplets, yielding an orbital design rule for quasi-isotropic exchange in rare-earth insulators.
Kusunose, Description of multipole in f-electron systems
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Self-consistent mean-field study finds that interorbital coupling, higher-harmonic frustrated exchanges, and competing crystal-field anisotropies enlarge the stability region of square skyrmion lattices in multiorbital f-electron systems.
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Design Principles for Quasi-Isotropic Exchange in Rare-Earth Quantum Magnets
Degenerate perturbation theory on a multiorbital Hubbard model shows isotropic superexchange arises mainly from ground-state Kramers doublet hopping while anisotropy comes from excited multiplets, yielding an orbital design rule for quasi-isotropic exchange in rare-earth insulators.
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Effects of crystal field and momentum-based frustrated exchange interactions on multiorbital square skyrmion lattice
Self-consistent mean-field study finds that interorbital coupling, higher-harmonic frustrated exchanges, and competing crystal-field anisotropies enlarge the stability region of square skyrmion lattices in multiorbital f-electron systems.