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Critical exponents and marginality of the four-state Potts model: Monte Carlo renormalization group

1981; American Physical Society; Volume: 24; Issue: 11 Linguagem: Inglês

10.1103/physrevb.24.6732

1095-3795

Robert H. Swendsen, David Andelman, A. Nihat Berker,

Physics of Superconductivity and Magnetism

The thermal critical exponent of the four-state Potts model in two dimensions is evaluated as ${\ensuremath{\nu}}^{\ensuremath{-}1}=1.49\ifmmode\pm\else\textpm\fi{}0.01$, using the Monte Carlo renormalization-group method. The presence of a marginal scaling direction is also indicated. These results confirm previous conjectures, universality, and logarithmic corrections. A purely Potts Hamiltonian is considered. A four-point interaction is used to control the chemical potential of effective vacancies, without the introduction of explicit vacancy states.