论文标题
使用Monte-Carlo方法对Ashkin柜员模型的研究$ S $ = $ 1 $ = $ 1 $和$σ$ = $ 3/2 $。
Study of the Ashkin Teller model with spins $S$ = $1$ and $σ$ = $3/2$ subjected to different crystal fields using the Monte-Carlo method
论文作者
论文摘要
使用Monte-Carlo方法，我们在晶体场的效果下研究了Ashkin-Teller模型（ATM）的磁性特性，并带有旋转$ s = 1 $和$σ= 3/2 $。首先，我们使用精确计算在温度下确定相图中最稳定的阶段。对于较高的温度，我们使用蒙特卡洛模拟。 We have found rich phase diagrams with the ordered phases: a Baxter $3/2$ and a Baxter $1/2$ phases in addition to a $\left\langle σS\right\rangle$ phase that does not show up either in ATM spin 1 or in ATM spin $3/2$ and, lastly, a $\left\langle σ\right\rangle = 1/2$ phase with first and second order过渡。
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 $\left\langle σS\right\rangle$ phase that does not show up either in ATM spin 1 or in ATM spin $3/2$ and, lastly, a $\left\langle σ\right\rangle = 1/2$ phase with first and second order transitions.
