Geodesic
Perturbation theory for the Green's functions of the Heisenberg model with single-ion anisotropy
Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 2, pp. 281-288

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Instead of solving the set of the $2S$ equations for Green function of ferromagnetic with the single-ion anisotropy, it is suggested to solve a single equation for the parametric Green function. The solution of this equation is used for exact calculation of ferremagnet magnetization of spin $S=1$ with one and two sublattices. The approximate solution is found for arbitrary value of the spin. 
@article{TMF_1975_23_2_a12,
     author = {A. A. Kazakov},
     title = {Perturbation theory for the {Green's} functions of the {Heisenberg} model with single-ion anisotropy},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {281--288},
     publisher = {mathdoc},
     volume = {23},
     number = {2},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1975_23_2_a12/}
}
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A. A. Kazakov. Perturbation theory for the Green's functions of the Heisenberg model with single-ion anisotropy. Teoretičeskaâ i matematičeskaâ fizika, Tome 23 (1975) no. 2, pp. 281-288. http://geodesic.mathdoc.fr/item/TMF_1975_23_2_a12/