Three-state Potts model on the centered triangular lattice.
Three-state Potts model on the centered triangular lattice.
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中心三角晶格上的三态 Potts 模型。
DOI：
10.1103/physreve.101.012118
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
H. Blöte
中科院分区：
文献类型：
--
作者：
Z. Fu;Wenan Guo;H. Blöte
我们研究了Potts模型在中心三角形晶格上的相变，其中有两种类型的耦合，即相邻三角形位置之间的K和中心和三角形位置之间的J。结果通过基于数值传输矩阵计算和Monte Carlo模拟的有限尺寸分析得到。我们的研究涵盖了整个（K，J）相图，但我们发现，大多数有趣的物理适用于反铁磁的情况下，K<0，模型是几何挫折。特别是，我们发现，有，对于所有有限的J，两个过渡时，K是变化的。他们的关键属性进行了探讨。在J→±∞的极限中，我们发现了具有无限阶跃迁到铁磁相的代数相。
We study phase transitions of the Potts model on the centered-triangular lattice with two types of couplings, namely, K between neighboring triangular sites, and J between the centered and the triangular sites. Results are obtained by means of a finite-size analysis based on numerical transfer-matrix calculations and Monte Carlo simulations. Our investigation covers the whole (K,J) phase diagram, but we find that most of the interesting physics applies to the antiferromagnetic case K<0, where the model is geometrically frustrated. In particular, we find that there are, for all finite J, two transitions when K is varied. Their critical properties are explored. In the limits J→±∞ we find algebraic phases with infinite-order transitions to the ferromagnetic phase.