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Absence of collective effects in Heisenberg systems with localized magnetic moments
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Existence of collective effects in magnetic coupling in ionic solids is studied by mapping spin eigenstates of the Heisenberg and exact nonrelativistic Hamiltonians on cluster models representing KNiF3, K2NiF4, NiO, and La2CuO4. Ab initio techniques are used to estimate the Heisenberg constant J. For clusters with two magnetic centers, the values obtained are about the same for models having more magnetic centers. The absence of collective effects in J strongly suggests that magnetic interactions in this kind of ionic solids are genuinely local and entangle only the two magnetic centers involved.
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ILLAS I RIERA, Francesc, et al. Absence of collective effects in Heisenberg systems with localized magnetic moments. Physical Review B. 1997. Vol. 56, num. 9, pags. 5069-5072. ISSN 0163-1829. [consulted: 5 of October of 2026]. Available at: https://hdl.handle.net/2445/10839