Abstract:
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.
Citation:
A. A. Kazakov, “Perturbation theory for the Green's functions of the Heisenberg model with single-ion anisotropy”, TMF, 23:2 (1975), 281–288; Theoret. and Math. Phys., 23:2 (1975), 512–517
\Bibitem{Kaz75}
\by A.~A.~Kazakov
\paper Perturbation theory for the Green's functions of the Heisenberg model with single-ion anisotropy
\jour TMF
\yr 1975
\vol 23
\issue 2
\pages 281--288
\mathnet{http://mi.mathnet.ru/tmf3806}
\transl
\jour Theoret. and Math. Phys.
\yr 1975
\vol 23
\issue 2
\pages 512--517
\crossref{https://doi.org/10.1007/BF01036162}
Linking options:
https://www.mathnet.ru/eng/tmf3806
https://www.mathnet.ru/eng/tmf/v23/i2/p281
This publication is cited in the following 7 articles:
V. M. Loktev, V. S. Ostrovskii, “Peculiarities of the statics and dynamics of magnetic insulators with single-ion anisotropy”, Low Temperature Physics, 20:10 (1994), 775
A. A. Kazakov, “Two Types of Low‐Temperature Phase Transitions in Uniaxial Ferromagnets with High Single‐Ion Anisotropy”, Physica Status Solidi (b), 121:1 (1984), 177
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
Stephen B. Haley, “Thermodynamics of interacting many-level systems from random-phase-approximation Green's functions”, Phys. Rev. B, 17:1 (1978), 337
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
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
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
Citation in format AMSBIB
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