TY - JOUR

T1 - Three-state Potts model and anomalous tricritical points

AU - Straley, J. P.

AU - Fisher, M. E.

PY - 1973

Y1 - 1973

N2 - 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.

AB - 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.

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U2 - 10.1088/0305-4470/6/9/007

DO - 10.1088/0305-4470/6/9/007

M3 - Article

AN - SCOPUS:0000947160

SN - 0305-4470

VL - 6

SP - 1310

EP - 1326

JO - Journal of Physics A: General Physics

JF - Journal of Physics A: General Physics

IS - 9

M1 - 007

ER -