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Using the exact solution in terms of the generalized classical transfermatrix method we presented a detailed analysis of the magnetic properties andground state structure of the simplified model of the single-chain magnet,trimetallic coordination polymer compound, [{(CuL)_2 Dy}{Mo(CN)_8}] 2CH_3CNH_2O is N,N'-propylenebis(3-methoxysalicylideneiminato). Due to appearance ofhighly anisotropic Dy3+ ion this material is an unique example of theone-dimensional magnets with Ising and Heisenberg bonds, allowing exactstatistical-mechanical treatment. We found two zero-temperature ground statescorresponding to different part of the magnetization curve of the material. Thezero-filed ground state is shown to be an antiferromagnetic configuration withspatial modulation of the local Dy3+(which is proven to posses well definedIsing like properties due two large anisotropy of g-factors) and compositeS=1/2 spin of the quantum spin trimer Cu-Mo-Cu in the form"up"-"down"-"down"-"up". Another important feature of this compound is theappearance of the quasi-plateau at non rational value of magnetization due todifference of the g-factors of the Cu- and Mo-ion in quantum spin trimers. Thequasi-plateau is an almost horizontal part of the magnetization curve where thecorresponding zero-temperature ground state of the chain demonstrate slow butmonotonous dependence of the magnetization on the external magnetic field,while the $z$-projection of the total spin is constant.

europhysics letters

Magnetization non-rational quasi-plateau and spatially modulated spin  order in the model of the single-chain magnet, [{(CuL)_2 Dy}{Mo(CN)_8}]  2CH_3CN H_2O