A study of logarithmic corrections and universal amplitude ratios in the two-dimensional 4-state Potts model

Lev Shchur (1) , Bertrand Berche (2) , Paolo Butera (3)

1 L.D. Landau Institute for Theoretical Physics of RAS
2 LPM - Laboratoire de physique des matériaux
3 INFN - Istituto Nazionale di Fisica Nucleare, Universita Milano-Bicocca

Monte Carlo (MC) and series expansion (SE) data for the energy, specific heat, magnetization and susceptibility of the two-dimensional 4-state Potts model in the vicinity of the critical point are analysed. The role of logarithmic corrections is discussed and an approach is proposed in order to account numerically for these corrections in the determination of critical amplitudes. Accurate estimates of universal amplitude ratios $A_+/A_-$, $\Gamma_+/\Gamma_-$, $\Gamma_T/\Gamma_-$ and $R_C^\pm$ are given, which arouse new questions with respect to previous works.

Domaines: Mécanique statistique [cond-mat.stat-mech]; Physique des Hautes Energies - Réseau [hep-lat]; Physique des Hautes Energies - Théorie [hep-th]

Lev Shchur, Bertrand Berche, Paolo Butera. A study of logarithmic corrections and universal amplitude ratios in the two-dimensional 4-state Potts model. EPL - Europhysics Letters, 2008, 81, pp.30008. ⟨10.1209/0295-5075/81/30008⟩. ⟨hal-00163187v2⟩