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"Phase" diagram of Izing and Heisenberg cubic clusters

Yury A. Koksharov
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Abstract

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.

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Yury A. Koksharov. 2001-12-28. "Phase" diagram of Izing and Heisenberg cubic clusters. https://arxiv.org/abs/cond-mat/0112475

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