Abstract

The Monte Carlo Wang–Landau algorithm was used to study the magnetic structures of the ground state and the thermodynamic properties of the 2D Potts model on a triangular lattice with number q = 4 of spin states with first and second nearest neighbor interactions. It is shown that the inclusion of the antiferromagnetic interaction of the second nearest neighbors leads to frustration and violation of magnetic breaking. It is established that in the model under investigation, no phase transition is observed at the point of frustration.

中文翻译：

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三角晶格上具有自旋态数q = 4的失意的Potts模型

摘要

使用蒙特卡罗·旺-朗道算法研究了基态的磁性结构和二维晶格模型在q  = 4的自旋态具有第一个和第二个最邻近相互作用的三角晶格上的热力学性质。结果表明，第二近邻的反铁磁相互作用的包含会导致挫败感和破坏磁性的行为。已经确定，在所研究的模型中，在受挫点未观察到相变。