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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >The two- and three-dimensional spin-3/2 random Blume-Capel model by the position space renormalization group
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The two- and three-dimensional spin-3/2 random Blume-Capel model by the position space renormalization group

机译：位置空间重归一化组的二维和三维自旋3/2随机Blume-Capel模型

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摘要

We use the Migdal-Kadanoff renormalization group technique to study the spin-3/2 Blume-Capel model under a random crystal field, in the two- and three-dimensional cases. Studying the fixed points and the phase diagrams established, we find interesting results allowing us to understand the critical behavior of the system. In the two-dimensional case, the randomness, even in small amounts, removes completely the first order transition between the two ferromagnetic phases present, replacing it by a smooth continuation. Only the second order phase transitions occur. In the three-dimensional case, the first order phase transition disappears only at a certain threshold of randomness. Below this threshold, we observe the presence of an end-point where finishes the first order transition line inside the ferromagnetic phases. This end-point reaches T=0K at a critical value of probability, beyond which only the second order transitions occur.
机译：在二维和三维情况下，我们使用Migdal-Kadanoff重整化组技术研究随机晶体场下的spin-3 / 2 Blume-Capel模型。研究固定点和建立的相图，我们发现有趣的结果，使我们能够了解系统的关键行为。在二维情况下，即使是少量的随机性，也完全消除了存在的两个铁磁相之间的一阶跃迁，并以平滑的连续性代替了它。仅发生二阶相变。在三维情况下，一阶相变仅在一定的随机阈值下消失。在此阈值以下，我们观察到存在终点，该终点在铁磁相内部完成一阶跃迁线。该端点以概率的临界值达到T = 0K，超过该临界值时仅发生二阶跃迁。

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