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 TMF, 1971, Volume 8, Number 3, Pages 381–391 (Mi tmf4415)

Green's functions and the thermodynamic quantities of the Meisenburg model with one-ion anisotropy

N. A. Potapkov

Abstract: The method of solution is developed for the chain of equations for Green functions, which is based on using of the exact kinematical relationships. For the particular case $S=1$ ($S$ being the spin of a single atom) the thermodynamical quantities and the Green function are calculated in a large region of temperature and the correction to the Curie temperature is found. In the case of arbitrary spin $S$ the results for the low temperature region are obtained.

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English version:
Theoretical and Mathematical Physics, 1971, 8:3, 905–912

Citation: N. A. Potapkov, “Green's functions and the thermodynamic quantities of the Meisenburg model with one-ion anisotropy”, TMF, 8:3 (1971), 381–391; Theoret. and Math. Phys., 8:3 (1971), 905–912

Citation in format AMSBIB
\Bibitem{Pot71} \by N.~A.~Potapkov \paper Green's functions and the thermodynamic quantities of the Meisenburg model with one-ion anisotropy \jour TMF \yr 1971 \vol 8 \issue 3 \pages 381--391 \mathnet{http://mi.mathnet.ru/tmf4415} \transl \jour Theoret. and Math. Phys. \yr 1971 \vol 8 \issue 3 \pages 905--912 \crossref{https://doi.org/10.1007/BF01029347} 

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This publication is cited in the following articles:
1. N. N. Iutin, A. A. Kazakov, N. L. Chistyakov, “Magnetization of hexagonal ferromagnets with single-ion anisotropy”, Theoret. and Math. Phys., 20:1 (1974), 714–718
2. N. F. Balakhonov, M. P. Kashchenko, V. N. Kitaev, L. V. Kurbatov, “Spectrum and damping of spin waves in a Heisenberg ferromagnet with single-ion anisotropy”, Theoret. and Math. Phys., 19:1 (1974), 381–390
3. A. A. Kazakov, “Perturbation theory for the Green's functions of the Heisenberg model with single-ion anisotropy”, Theoret. and Math. Phys., 23:2 (1975), 512–517
4. A. A. Kazakov, “Green's functions and magnetization of uniaxial ferromagnets with single-ion anisotropy in a transverse field”, Theoret. and Math. Phys., 26:1 (1976), 76–81
5. A. A. Kazakov, “Closing relations for the Green's functions of the Heisenberg model with one-ion anisotropy”, Theoret. and Math. Phys., 28:3 (1976), 882–886
6. A. A. Kazakov, “Green's function for uniaxial ferromagnet with arbitrary spin and single-ion anisotropy of second order”, Theoret. and Math. Phys., 31:2 (1977), 461–464
7. V. V. Val'kov, S. G. Ovchinnikov, “Hubbard operators and spin-wave theory of Heisenberg magnets with arbitrary spin”, Theoret. and Math. Phys., 50:3 (1982), 306–313
8. Ya. M. Neimatov, “Spectrum of elementary excitations in compounds formed by a rare-earth metal and a transition metal”, Theoret. and Math. Phys., 54:2 (1983), 189–195
9. F. P. Onufrieva, “Single-particle Green's function of a ferromagnet with single-ion anisotropy in the presence of a magnetic field of arbitrary direction”, Theoret. and Math. Phys., 54:2 (1983), 196–205
10. V. V. Val'kov, T. A. Val'kova, “Influence of cubic anisotropy on the ground state and thermodynamic properties of Heisenberg magnets”, Theoret. and Math. Phys., 59:3 (1984), 617–625
11. V. V. Val'kov, “Unitary transformations of the group $U(N)$ and diagonalization of multilevel Hamiltonians”, Theoret. and Math. Phys., 76:1 (1988), 766–772
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