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Statistical Mechanics of Uniaxial Antiferromagnet with First‐ and Second‐Neighbor Exchanges

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2 Author(s)
Tanaka, T. ; Catholic University of America, Washington, D. C. ; Libelo, L.F.

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Low-temperature neutron-scattering study together with the zero-field AFMR in MnF2 furnished a reliable set of values of first- and second-neighbor exchange integrals and the uniaxial anisotropy energy. It is the purpose of this paper to see to what extent one can understand the high-temperature properties such as the Néel temperature and the anisotropic susceptibilities in terms of the known parameters obtained at low temperatures. For this purpose the cluster-variation method is used in which up to the two-spin correlation is taken into account. One of the main tasks of this method is to diagonalize effective one- and two-spin Hamiltonians. It is noted here that the anisotropy energy could be as big, at least, as the second-neighbor exchange energy. It is, therefore, not justifiable to treat the anisotropy energy as a small perturbation. In this paper diagonalization of the effective two-spin Hamiltonian is achieved for the actual spin, S = 52, and the Néel temperature and the anisotropic susceptibilities are calculated. Calculations of the sublattice magnetization and spin-flop field are in progress.

Published in:

Journal of Applied Physics  (Volume:39 ,  Issue: 2 )