半无限自旋-2 Ising模型的临界行为

IF 1.6 4区物理与天体物理 Q3 PHYSICS, CONDENSED MATTER

The European Physical Journal B Pub Date : 2025-04-28 DOI:10.1140/epjb/s10051-025-00929-y

N. Hachem, A. Ezzaime, M. El Bouziani

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引用次数: 0

摘要

利用Migdal-Kadanoff重整化群方法，研究了三维半无限自旋-2 Ising模型。首先，我们在二维和三维情况下绘制了无限自旋-2模型的相图，其中系统表现出一阶和二阶相变以及一个三临界点。基于体相互作用与表面相互作用的比率，确定了三种一般类型的表面相图，其特征是三临界行为和有趣的二阶相变，特别是普通、特殊、表面和特殊相变。

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Critical behaviour of the semi-infinite spin-2 Ising model

Using the Migdal–Kadanoff renormalization group approach, we studied the three-dimensional semi-infinite spin-2 Ising model. Initially, we plotted the phase diagrams of the infinite spin-2 model in the bidimensional and tridimensional cases, where the system exhibits first- and second-order phase transitions and a tricritical point. Based on the ratios of bulk interactions to surface ones, three generic types of surface phase diagrams were identified, marked by tricritical behaviour and interesting second-order phase transitions, particularly ordinary, extraordinary, surface, and special transitions.

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