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

Robert H. Swendsen; D. Andelman; A. Nihat Berker

doi:10.1103/PhysRevB.24.6732

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

Robert H. Swendsen

D. Andelman

A. Nihat Berker^*

IBM Research Laboratory, Zürich, CH-8803 Rüschlikon, Switzerland

Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

IBM Research Laboratory, Zürich, CH-8803 Rüschlikon, Switzerland
Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

^*Permanent address.

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Phys. Rev. B 24, 6732(R) – Published 1 December, 1981

DOI: https://doi.org/10.1103/PhysRevB.24.6732

Abstract

The thermal critical exponent of the four-state Potts model in two dimensions is evaluated as $ν^{- 1} = 1.49 \pm 0.01$ , 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.

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Physical Review B

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

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

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