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Prog. Theor. Phys. Vol. 51 No. 5 (1974) pp. 1293-1311

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An Application of the Coherent Potential Approximation to Substitutionally Disordered Heisenberg Antiferromagnets

Takashi Tonegawa

Department of Physics, Faculty of Science, Kobe University, Rokkodai, Kobe 657

(Received November 18, 1973)

Abstract:

It is shown that the coherent potential approximation (CPA) can be applied straight-forwardly to a substitutionally disordered binary Heisenberg antiferromagnet under the conditions of J(f)AASA = J(f)ABSB and J(f)ABSA = J(f)BBSB, where J(f)AA, J(f)AB and J(f)BB are the f-th neighboring exchange integrals between two A, one A and one B, and two B constituent magnetic ions, respectively, and SA and SB are respectively the spin magnitudes of the A and B ions. The present theory not only satisfied the Goldstone theorem but also reproduces in the low concentration limit the theoretical results for the single impurity problem. Various properties of magnetic excitations in the disordered antiferromagnet are calculated on the basis of the CPA. Numerical evaluations are performed for the K(Mn, Co)F3 system. The results for the dispersion relations of magnetic excitations are in good agreement with the recent neutron inelastic scattering data of Buyers et al. for KMn0.8Co0.2F3 and KMn0.29Co0.71F3.


URL : http://ptp.ipap.jp/link?PTP/51/1293/
DOI : 10.1143/PTP.51.1293

[ Full Text PDF : FREE ACCESS (1485K) ] Citation:


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