Abstract
We investigate theoretically the magnetic properties of a realistic layer type ferromagnet which differs from an isotropic two-dimensional Heisenberg magnet due to small anisotropy and interlayer coupling. An approximation is used which contains the vanishing of long range order and the existence of a Stanley-Kaplan phase transition in the ideal limit. The approach of the ideal limit is studied. Detailed results are presented both in the neighbourhood of the magnetic phase transition and in the low temperature region. The closeness to the isotropic two-dimensional limit has a strong influence on the behaviour in finite magnetic fields for realistic values of anisotropy and interlayer coupling. However, exceedingly small values of these parameters are required to affect the spontaneous magnetization.
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Birgeneau, R. J., Skalyo, J., Jr., Shirane, G.: Phys. Rev. B3, 1736 (1971).
Mermin, N. D., Wagner, H.: Phys. Rev. Letters17, 1133 (1966).
Stanley, H. E., Kaplan, T. A.: Phys. Rev. Letters17, 913 (1966).
Wegner, F.: Z. Physik206, 465 (1967).
Mikeska, H. J., Schmidt, H.: J. Low Temp. Phys.2, 371 (1970).
Mubayi, V., Lange, R. V.: Phys. Rev.178, 882 (1969).
Oguchi, A.: Progr. Theoret. Phys. (Kyoto)46, 63 (1971).
Berezinskii, V. L.: Soviet Phys. JETP32, 493 (1971).
Selke, W.: Diplomarbeit, TU Hannover (1972).
Lines, M. E.: Phys. Rev. B3, 1749 (1971).
Kenan, R. P.: Phys. Rev. B1, 3205 (1970).
Mikeska, H. J.: to be published in Solid State Communications.
Villain, J.: private communication.
Tahir-Kheli, R. A.: Phys. Rev. B1, 3163 (1970).
Mori, H., Kawasaki, K.: Progr. Theoret. Phys. (Kyoto)27, 529 (1962).
Hirakawa, K., Ikeda, H.: J. Phys. Soc. Japan33, 1483 (1972).
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Mikeska, H.J. On the theory of quasi two-dimensional Heisenberg magnets. Z. Physik 261, 437–450 (1973). https://doi.org/10.1007/BF01395701
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DOI: https://doi.org/10.1007/BF01395701