Three-state Potts model and anomalous tricritical points
Three-state Potts model and anomalous tricritical points
复制标题
三态 Potts 模型和反常三临界点
DOI：
10.1088/0305-4470/6/9/007
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发表时间：
1973
期刊：
影响因子：
--
通讯作者：
M. Fisher
中科院分区：
文献类型：
--
作者：
J. Straley;M. Fisher
本文给出了三态Potts模型在任意外场作用下自由能的低温级数的十三项。对比热、序参量和磁化率的系列外推表明，零场中的跃迁是连续的（与朗道的预测相反），指数α = α '=0.05+或-0.10，beta =0.10+或-0.01，gamma '大约=1.5+或-0.2，gamma '垂直于=1.1+或-0.1。这些结论表明存在一个“异常”的三临界点的模型，相关的相图进行了讨论，并与唯象预测。
Thirteen terms are presented of the low-temperature series for the free energy of the three-state Potts model in arbitrary external fields. Extrapolation of the series for specific heat, order parameter, and susceptibilities indicates that the transition in zero field is continuous (in contrast to the Landau prediction) with exponents alpha = alpha '=0.05+or-0.10, beta =0.10+or-0.01, gamma ' approximately=1.5+or-0.2 and gamma 'perpendicular to =1.1+or-0.1. These conclusions suggest the presence of an 'anomalous' tricritical point in the model; the associated phase diagram is discussed and contrasted with phenomenological predictions.