We have studied the ground state of a simple cubic magnetic cluster, which contains a spin s at each corner site. The ground state of such cluster depends on the competition between nearest, next-nearest and next-next-nearest-neighbor exchange interactions. We have calculated the "phase" diagrams for the Izing clusters with s=1/2;1;3/2;5/2;\infty and for the Heisenberg clusters with s=1/2 and s=1. We have found that the "phase" diagram is remarkably independent on the s value. It is important also that the Izing "phase" diagram can be used as a rough approximation for the Heisenberg model.
@article{arxiv.cond-mat/0112475,
title = {"Phase" diagram of Izing and Heisenberg cubic clusters},
author = {Yury A. Koksharov},
journal= {arXiv preprint arXiv:cond-mat/0112475},
year = {2007}
}