Critical exponents of the 3D antiferromagnetic three-state Potts model using the coherent-anomaly method

Miroslav Kolesik; Masuo Suzuki

doi:10.1016/0378-4371(95)00086-M

Critical exponents of the 3D antiferromagnetic three-state Potts model using the coherent-anomaly method

Miroslav Kolesik, Masuo Suzuki

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13 Scopus citations

Abstract

The antiferromagnetic three-state Potts model on the simple-cubic lattice is studied using the coherent-anomaly method (CAM). The CAM analysis provides the estimates for the critical exponents which indicate the XY universality class, namely α = -0.011, β = 0.351, γ = 1.309 and δ = 4.73. This observation corroborates the results of the recent Monte Carlo simulations, and disagrees with the proposal of a new universality class.

Original language	English (US)
Pages (from-to)	469-477
Number of pages	9
Journal	Physica A: Statistical Mechanics and its Applications
Volume	216
Issue number	4
DOIs	https://doi.org/10.1016/0378-4371(95)00086-M
State	Published - Jul 1 1995
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Condensed Matter Physics

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title = "Critical exponents of the 3D antiferromagnetic three-state Potts model using the coherent-anomaly method",

abstract = "The antiferromagnetic three-state Potts model on the simple-cubic lattice is studied using the coherent-anomaly method (CAM). The CAM analysis provides the estimates for the critical exponents which indicate the XY universality class, namely α = -0.011, β = 0.351, γ = 1.309 and δ = 4.73. This observation corroborates the results of the recent Monte Carlo simulations, and disagrees with the proposal of a new universality class.",

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T1 - Critical exponents of the 3D antiferromagnetic three-state Potts model using the coherent-anomaly method

AU - Kolesik, Miroslav

AU - Suzuki, Masuo

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Y1 - 1995/7/1

N2 - The antiferromagnetic three-state Potts model on the simple-cubic lattice is studied using the coherent-anomaly method (CAM). The CAM analysis provides the estimates for the critical exponents which indicate the XY universality class, namely α = -0.011, β = 0.351, γ = 1.309 and δ = 4.73. This observation corroborates the results of the recent Monte Carlo simulations, and disagrees with the proposal of a new universality class.

AB - The antiferromagnetic three-state Potts model on the simple-cubic lattice is studied using the coherent-anomaly method (CAM). The CAM analysis provides the estimates for the critical exponents which indicate the XY universality class, namely α = -0.011, β = 0.351, γ = 1.309 and δ = 4.73. This observation corroborates the results of the recent Monte Carlo simulations, and disagrees with the proposal of a new universality class.

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Critical exponents of the 3D antiferromagnetic three-state Potts model using the coherent-anomaly method

Abstract

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