Abstract
We have developed the spin wave theory of Heisenberg magnets with strong single-ion anisotropy of arbitrary symmetry with two and more sublattices. Using this approach, the low-temperature magnetic properties of the single-chain magnet catena-\(\mathrm {[Fe^{II}(ClO_{4})_{2}{Fe^{III}(bpca)_{2}}](ClO_{4}})\) with four sublattices and twisting mutually orthogonal easy plane have been calculated. It has been shown that the modulation of the easy planes directions creates on the one hand the low-temperature excitation spectrum similar to the one of the Ising models, and on the other hand strong spin fluctuations.
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