Abstract
A method of describing the thermodynamic functions of two-dimensional isotropic Heisenberg ferromagnets based on a generalization of the 2 +ε expansion is proposed. Interpolation formulas constructed in the framework of this approach make possible a smooth passage to the results obtained by the methods of high-temperature expansions.
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References
J. Kondo and K. Yamaji,Prog. Theor. Phys.,47, 807 (1972).
M. Takahashi,Phys. Rev. Lett.,58, 168 (1987).
M. Takahashi,Phys. Rev. B,40, 2494 (1989).
M. Takahashi and N. Yamada,J. Phys. Soc. Jpn.,55, 2024 (1986).
T. N. Antsygina and V. A. Slyusarev,Fiz. Tverd. Tela (St. Petersburg),19, 67 (1993).
T. N. Antsygina and V. A. Slyusarev,Teor. Mat. Fiz.,95, 87 (1993).
Y. Okabe and M. Kikuchi,J. Phys. Soc. Jpn.,57, 4351 (1988).
V. L. Berezinskii and A. Ya. Blank,Zh. Eksp. Teor. Fiz.,64, 725 (1973).
A. M. Polyakov,Phys. Lett. B,59, 79 (1975).
V. A. Slyusarev and R. P. Yankelevich,Fiz. Nizk. Temp.,3, 1175 (1977).
D. R. Nelson and R. A. Pelcovits,Phys. Rev. B,16, 2191 (1977).
L. D. Landau and E. M. Lifshitz,Statistical Physics, 2nd ed., Pergamon Press, Oxford (1969).
J. M. Kosterlitz,Phys. Rev. Lett.,37, 1577 (1976).
S. B. Khokhlachev,Zh. Eksp. Teor. Fiz.,70, 265 (1976).
A. Z. Patashinskii and V. L. Pokrovskii,Fluctuation Theory of Phase Transitions, Pergamon Press, Oxford (1979).
Rushbrooke, G. A. Baker, Jr., and P. J. Wood, in:Phase Transitions and Critical Phenomena, Vol. 3, C. Domb and M. S. Green, eds., Academic Press, New York (1974), Chap. 5.
F. Dyson,Phys. Rev., Ser. 2,102, 1217 (1956).
V. G. Bar'yakhtar, V. N. Krivoruchko, and D. A. Yablonskii,Teor. Mat. Fiz.,53, 156 (1982).
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 104, No. 3, pp. 530–537, September, 1995.
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Antsygina, T.N., Slyusarev, V.A. Thermodynamics of the two-dimensional Heisenberg ferromagnet in the framework of the renormalization-group approach. Theor Math Phys 104, 1178–1183 (1995). https://doi.org/10.1007/BF02068749
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DOI: https://doi.org/10.1007/BF02068749