Abstract
We have investigated the ferromagnetic phase transition and excitation spectrum of systems, such as the rare earths, where the crystalline fields are significant in determining the magnetic properties. Using the full level scheme appropriate to a system ofJ-4 ions in a crystal field of cubic symmetry and assuming a Heisenberg interaction, we have calculated the full temperature- andq-dependence of the dynamic susceptibility within the RPA, both in the paramagnetic and ordered regimes. Variations in behavior, both with changes in crystal field parameter and with changes in magnetic interaction strength are discussed, and emphasis is placed on the limiting case which corresponds to current experiments in the light rare earths.
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References
Trammel, G. T.: Phys. Rev.131, 932 (1963).
Bleaney, B.: Proc. Roy. Soc. A276, 19 (1963).
Grover, B.: Phys. Rev. A140, 1944 (1965).
Wang, Y. L., Cooper, B. R.: Phys. Rev.172, 539 (1968);185, 696 (1969).
Fulde, P., Peschel, I.: Z. Phys.241, 82 (1971).
Fulde, P., Peschel, I.: Adv. Phys.21, 1 (1972).
Cooper, B. R.: Phys. Rev. B6, 2730 (1972).
Hsieh, Y. Y., Blume, M.: Phys. Rev. B6, 2684 (1972).
Pink, D. A.: J. Phys. C1, 1246 (1968).
Smith, S. R. P.: J. Phys. C5, L 157 (1972).
Rainford, B. R., Gylden Houmann, J.: Phys. Rev. Letters26, 1254 (1971).
Birgeneau, R. J., Als-Nielsen, J., Bucher, E.: Phys. Rev. Letters27, 1630 (1971).
Andres, K., Bucher, E., Darack, S., Maita, J. P.: Phys. Rev. B6, 2716 (1972).
Birgeneau, R. J., Als-Nielsen, J., Bucher, E.: Phys. Rev. B6, 2724 (1972).
Birgeneau, R. J.: To be published, 18th Annual Conference on Magnetism and Magnetic Materials, Denver, Colorado, 1972.
Lea, K. R., Leask, M. J. M., Wolf, W. P.: J. Phys. Chem. Solids23, 1381 (1962).
Abrikosov, A. A.: Physica2, 5 (1965). For application to the present case see Ref. [5].
Keiter, H.: Z. Physik.213, 466 (1968).
For further comment and references, see Schultz, T. D., Kwok, P. C.: Phys. Letters A39, 402 (1972).
Blume, M.: Phys. Rev.141, 517 (1966).
Peschel, I., Klenin, M., Fulde, P.: J. Phys. C5, L 194 (1972).
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Klenin, M., Peschel, I. Excitation spectra of ferromagnets with crystal fields. Phys kondens Materie 16, 219–233 (1973). https://doi.org/10.1007/BF02422699
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DOI: https://doi.org/10.1007/BF02422699