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Emergent O(n) symmetry in a series of three-dimensional Potts models

Chengxiang Ding, Henk W. J. Blöte, and Youjin Deng
Phys. Rev. B 94, 104402 – Published 1 September 2016

Abstract

We study the q-state Potts model on a simple cubic lattice with ferromagnetic interactions in one lattice direction, and antiferromagnetic interactions in the other two directions. As the temperature T decreases, the system undergoes a second-order phase transition that fits in the universality class of the three-dimensional O(n) model with n=q1. This conclusion is based on the estimated critical exponents, and histograms of the order parameter. At even smaller T we find, for q=4 and 5, a first-order transition to a phase with a different type of long-range order. This long-range order dissolves at T=0, and the system effectively reduces to a disordered two-dimensional Potts antiferromagnet. These results are obtained by means of Monte Carlo simulations and finite-size scaling.

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  • Received 11 November 2015
  • Revised 12 August 2016

DOI:https://doi.org/10.1103/PhysRevB.94.104402

©2016 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
  1. Physical Systems
Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Chengxiang Ding1,*, Henk W. J. Blöte2, and Youjin Deng3,†

  • 1School of Science and Engineering of Mathematics and Physics, Anhui University of Technology, Maanshan 243002, China
  • 2Instituut Lorentz, Leiden University, P.O. Box 9506, 2300 RA Leiden, The Netherlands
  • 3Hefei National Laboratory for Physical Sciences at Microscale, Department of Modern Physics, University of Science and Technology of China, Hefei 230027, China

  • *dingcx@ahut.edu.cn
  • yjdeng@ustc.edu.cn

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Issue

Vol. 94, Iss. 10 — 1 September 2016

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