Abstract
The magnetic equation of stateM(H, T) near the ferromagnetic transition point (T c =2.211 K) of GdCl3, a system in which the long-range dipole-dipole and the exchange interactions are of the same order of magnitude, is investigated. For a considerableM-H-T-region a scaling functionh(x) does exist. Qualitative analyses ofh(x) using series expansions and empirical forms show that the scaling function parameters of GdCl3 differ from those of systems with dominating short-range interactions. Quantitative comparison with the mean field theory (infinite range of interaction) and Stanley's high temperature series for nearest-neighbour Heisenberg interaction do not give satisfactory agreement.
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Wolf, W. P., Leask, M. J. M., Mangum, B., Wyatt, A. F. G.: J. Phys. Soc. Japan, Suppl.17, B-1, 487 (1961).
Kötzler, J., Scheithe, W.: Solid State Comm.12, 643 (1973).
For a review see e.g.: Capocaccia, D., Vicentini-Missoni, M.: Riv. Nuov. Cim.1, 519 (1971).
Griffith, R. B.: Phys. Rev.158, 176 (1967).
Ho, J. T., Litster, J. D.: Phys. Rev. Letters22, 603 (1969).
Menyuk, N., Dwight, K., Reed, T. B.: Phys. Rev. B3, 1689 (1971).
Kouvel, J. S., Rodbell, D. S.: Phys. Rev. Letters18, 215 (1967).
Kouvel, J. S., Comley, J. B.: In: Critical phenomena in alloys, magnets and superconducturs, edited by R. E. Mills, E. Ascher, and R. I. Jaffee. New York: Mac Graw Hill 1971.
Stanley, H. E., Milosevic, S.: Phys. Rev. B6, 986 and 1002 (1972).
Vicentini-Missoni, M., Joseph, R. I., Green, M. S., Levelt-Sengers, J. M. H.: Phys. Rev. B1, 2312 (1970).
Vicentini-Missoni, M.: In: Phase transitions and critical phenomena, edited by C. Domb and M. S. Green. London-New York: Academic Press 1972.
Stanley, H. E.: Introduction to phase transitions and critical phenomena. Oxford: Clarendon Press 1971.
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A project of the Sonderforschungsbereich 65 Darmstadt-Frankfurt supported by special funds of the Deutsche Forschungsgemeinschaft.
The author gratefully acknowledges the valuable assistance of cand. phys. W. Scheithe during the performance of the experiments, Profs. K. H. Hellwege and G. Weber for critical reading of the manuscript, and Mr. R. D. Shuts for help with the English draft.
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Kötzler, J. Critical magnetic equation of state of the “Long-Range” ferromagnet GdCl3 . Z. Physik 260, 395–402 (1973). https://doi.org/10.1007/BF01397964
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DOI: https://doi.org/10.1007/BF01397964