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

Robert H. Swendsen*, D. Andelman, A. Nihat Berker

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The thermal critical exponent of the four-state Potts model in two dimensions is evaluated as ν-1=1.49±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.

Original languageEnglish
Pages (from-to)6732-6735
Number of pages4
JournalPhysical Review B-Condensed Matter
Volume24
Issue number11
DOIs
StatePublished - 1981
Externally publishedYes

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