Three-state Potts model and anomalous tricritical points

作者：Joseph P. Straley, Michael Ellis Fisher · 发表于：Journal of Physics A Mathematical Nuclear and General · 年份：1973 · DOI：10.1088/0305-4470/6/9/007 · 被引用次数：193 · 研究领域：Theoretical and Computational Physics、Spectroscopy and Quantum Chemical Studies、Material Dynamics and Properties

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.