Title: Study of the Ashkin Teller model with spins S = 1 and σ = 3/2 subjected to different crystal fields using the Monte-Carlo method
Author(s):

	Z. Amimer (Laboratory of Automatics, Faculty of Sciences, University of Tlemcen, BP119, Algeria),
	S. Bekhechi (Laboratory of Theoretical Physics, Faculty of Sciences, University of Tlemcen, BP119, Algeria),
	B.N. Brahmi (Laboratory of Theoretical Physics, Faculty of Sciences, University of Tlemcen, BP119, Algeria),
	R. Boudefla (Laboratory of Theoretical Physics, Faculty of Sciences, University of Tlemcen, BP119, Algeria),
	H. Ez-Zahraouy (Laboratory of Condensed Matter and Interdisciplinary Sciences (LaMCScl), Faculty of Sciences, Mohammed V University of Rabat, P.O. Box 1014, Morocco),
	A. Rachadi (Laboratory of Condensed Matter and Interdisciplinary Sciences (LaMCScl), Faculty of Sciences, Mohammed V University of Rabat, P.O. Box 1014, Morocco)

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 σ = 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 <σ S> phase that does not show up either in ATM spin 1 or in ATM spin 3/2 and, lastly, a <σ > = 1/2 phase with first and second order transitions.

Key words: Ising model, Ashkin-Teller, spin-1, spin-3/2, Monte Carlo

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