Condensed Matter Physics, 2020, vol. 23, No. 3, 33707
DOI:10.5488/CMP.23.33707
arXiv:2009.14735
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):
 
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Z. Amimer
(Laboratory of Automatics, Faculty of Sciences, University of Tlemcen, BP119, Algeria),
 
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S. Bekhechi
(Laboratory of Theoretical Physics, Faculty of Sciences, University of Tlemcen, BP119, Algeria),
 
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B.N. Brahmi
(Laboratory of Theoretical Physics, Faculty of Sciences, University of Tlemcen, BP119, Algeria),
 
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R. Boudefla
(Laboratory of Theoretical Physics, Faculty of Sciences, University of Tlemcen, BP119, Algeria),
 
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H. Ez-Zahraouy
(Laboratory of Condensed Matter and Interdisciplinary Sciences (LaMCScl), Faculty of Sciences, Mohammed V University of Rabat,
P.O. Box 1014, Morocco),
 
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A. Rachadi
(Laboratory of Condensed Matter and Interdisciplinary Sciences (LaMCScl), Faculty of Sciences, Mohammed V University of Rabat, P.O.
Box 1014, Morocco)
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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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