Mean-field transfer-matrix study of the magnetic phase diagram of CsNiF$_{\bf 3}$

TL;DR

This paper introduces a combined transfer-matrix and mean-field approach to analyze the magnetic phase diagram of CsNiF3, revealing how single-ion anisotropy influences magnetic ordering.

Contribution

It presents a novel method integrating transfer-matrix and mean-field theories to study coupled ferromagnetic chains on a hexagonal lattice.

Findings

Successful modeling of the phase diagram of CsNiF3

Insights into the angular dependence of the critical magnetic field

Effects of single-ion anisotropy on magnetic ordering

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.