Study of the Ashkin Teller model with spins S = 1 and σ = 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 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 σS 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.