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

This article is cited in 11 scientific papers (total in 11 papers)

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

Received: 13.01.1971

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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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    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  mathnet  crossref
    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  mathnet  crossref
    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  mathnet  crossref
    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  mathnet  crossref
    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  mathnet  crossref
    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  mathnet  crossref
    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  mathnet  crossref  mathscinet  isi
    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  mathnet  crossref  isi
    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  mathnet  crossref  mathscinet  isi
    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  mathnet  crossref  mathscinet  isi
    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  mathnet  crossref  mathscinet  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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