Mean-field transfer-matrix study of the magnetic phase diagram of CsNiF${}_3$

Abstract

A method for treating ferromagnetic chains coupled with antiferromagnetic interactions on an hexagonal lattice is presented in this paper. The solution of the $1D$ part of the problem is obtained by classical transfer-matrix while the coupling between the chains is processed by mean-field theory. This method is applied with success to the phase diagram and angular dependence of the critical field of CsNiF${}_3$. Results concerning the general influence of single-ion anisotropy on the magnetic ordering of such systems are also presented.

J1K 2R1 14 pages (RevTex 3.0 preprint), 7 Postscript figures uuencoded at the end, Report# CRPS-94-20

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