Study of the Ashkin Teller model with spins $S$ = $1$ and $\sigma$ = $3/2$ subjected to different crystal fields using the Monte-Carlo method

Abstract

Using the Monte-Carlo method, we study the magnetic properties of the Ashkin-Teller model (ATM) under the effect of the crystal field with spins $S=1$ and $\sigma =3/2$. First, we determine the most stable phases in the phase diagrams at temperature $T=0$ using exact calculations. For higher temperatures, we use the Monte-Carlo simulation. We have found rich phase diagrams with the ordered phases: a Baxter $3/2$ and a Baxter $1/2$ phases in addition to a $⟨\sigma S⟩$ phase that does not show up either in ATM spin 1 or in ATM spin $3/2$ and, lastly, a $⟨\sigma ⟩=1/2$ phase with first and second order transitions.

arXiv comment10 pages, 10 figures

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