Three-state Potts model on the centered triangular lattice

Physical review. E, vol. 101, pp. 012118

Abstract

We study phase transitions of the Potts model on the centered-triangular lattice with two types of couplings, namely, K between neighboring triangular sites, and J between the centered and the triangular sites. Results are obtained by means of a finite-size analysis based on numerical transfer-matrix calculations and Monte Carlo simulations. Our investigation covers the whole (K,J) phase diagram, but we find that most of the interesting physics applies to the antiferromagnetic case K<0, where the model is geometrically frustrated. In particular, we find that there are, for all finite J, two transitions when K is varied. Their critical properties are explored. In the limits J→±∞ we find algebraic phases with infinite-order transitions to the ferromagnetic phase.

Authors 3

1. Zhe Fu

   Xinxiang University

   Affiliation as printed

   College of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, China

2. Wenan Guo

   Beijing Normal University · Beijing Computational Science Research Center · Xinxiang University

   Affiliation as printed

   Physics Department, Beijing Normal University, Beijing 100875, China and Beijing Computational Science Research Center, Beijing 100193, China

   College of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, China

3. Henk W. J. Blöte Aachen Instituut-Lorentz

   Leiden University · Xinxiang University

   Affiliation as printed

   Instituut Lorentz, Leiden University, P.O. Box 9506, 2300 RA Leiden, the Netherlands

   College of Physics and Electronic Engineering, Xinxiang University, Xinxiang 453003, China