Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics A Mathematical and General

Mean-field renormalisation group study of antiferromagnetic q-state Potts models

M C Marques

Published Mar 7, 1988• 3 citations
Publisher

Abstract

The MFRG method is used to study the critical behaviour of the q-state Potts antiferromagnet in three dimensions. The q dependence of the critical temperature T c as well as the exponent v are derived, and the results are compared with Monte Carlo data and predictions of mean-field theory.
DOI
10.1088/0305-4470/21/5/024

Related papers

Three-state Potts model with antiferromagnetic interactions: a MFRG approach

M C Marques

The mean-field renormalisation group method is used to study the critical temperature of the three-state Potts antiferromagnet in 3D lattices, as well as the three-state Potts model on the square lattice with ferromagnetic (along x) and antiferromagnetic (along y) interactions, and its quantum version, the 1D Potts antiferromagnet in a transverse field. Comparison is made with other results.

Journal of Physics A Mathematical and General•Feb 21, 1988•15 citations

Mean-field renormalisation group study of the semi-infinite Potts model

M A Santos, M C Marques

The MFRG method is used to study the critical behaviour of the semi-infinite three-dimensional q-state Potts model. Estimates of Delta c , the critical enhancement at the special transition, and the phase diagram are obtained for different values of q and compared with results from other techniques.

Journal of Physics A Mathematical and General•Dec 1, 1987•2 citations

Antiferromagnetic Potts models

Jian‐Sheng Wang, Robert H. Swendsen, Roman Kotecký

We present a study of the antiferromagnetic Potts model in two and three dimensions, using a new method of Monte Carlo simulations, which enables us to perform simulations with greatly improved efficiency. Illustrating the method for the three-state model, we have obtained new results for the entropy and critical exponents in two and three dimensions. The low-temperature phase in three dimensions is shown to have long-range order with a finite-size dependence similar to that of the XY model.

Physical Review Letters•Jul 10, 1989•142 citations

Mean-field renormalisation group for the Potts model in a transverse field

M C Marques, M. Santos

The mean-field renormalisation group method is used to study the bond-diluted q-states Potts model in a transverse field. The critical surface in the transverse field-temperature-concentration space is obtained for different dimensionalities, and some critical exponents are estimated.

Journal of Physics C Solid State Physics•Aug 10, 1986•4 citations

A Monte Carlo study of the three-states antiferromagnetic Potts model in two dimensions

Francesco Fucito

Using Monte Carlo methods the author studies the two-dimensional three-stages Potts model with antiferromagnetic nearest neighbours and ferromagnetic next-nearest neighbours couplings on a square lattice. The author focuses on the case with only antiferromagnetic coupling; from the analysis of the data gathered, there is evidence that this system shows critical behaviour only at T=0.

Journal of Physics A Mathematical and General•Oct 1, 1983•8 citations

Three-state antiferromagnetic Potts models: A Monte Carlo study

Jian‐Sheng Wang, Robert H. Swendsen, Roman Kotecký

We present a study of the three-state antiferromagnetic Potts model in two and three dimensions, using a cluster-flip Monte Carlo simulation algorithm. The new approach enables us to perform simulations with greatly improved efficiency. We have obtained results for the ground-state entropy and critical exponents in two and three dimensions. The low-temperature phase in three dimensions is shown to have long-range order with a finite-size dependence of the magnetization and susceptibility similar to that of the XY model.

Physical review. B, Condensed matter•Aug 1, 1990•129 citations
We present a study of the three-state antiferromagnetic Potts model in two and three dimensions, using a cluster-flip Monte Carlo simulation algorithm. The new approach enables us to perform simulations with greatly improved efficiency. We have obtained results for the ground-state entropy and critical exponents in two and three dimensions. The low-temperature phase in three dimensions is shown to have long-range order with a finite-size dependence of the magnetization and susceptibility similar to that of the XY model.