skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Phase transitions in the two-dimensional ferro- and antiferromagnetic potts models on a triangular lattice

Abstract

The phase transitions in the two-dimensional ferro- and antiferromagnetic Potts models with q = 3 states of spin on a triangular lattice are studied using cluster algorithms and the classical Monte Carlo method. Systems with linear sizes L = 20-120 are considered. The method of fourth-order Binder cumulants and histogram analysis are used to discover that a second-order phase transition occurs in the ferromagnetic Potts model and a first-order phase transition takes place in the antiferromagnetic Potts model. The static critical indices of heat capacity ({alpha}), magnetic susceptibility ({gamma}), magnetization ({beta}), and correlation radius index ({nu}) are calculated for the ferromagnetic Potts model using the finite-size scaling theory.

Authors:
Publication Date:
OSTI Identifier:
22069226
Resource Type:
Journal Article
Journal Name:
Journal of Experimental and Theoretical Physics
Additional Journal Information:
Journal Volume: 115; Journal Issue: 6; Other Information: Copyright (c) 2012 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ALGORITHMS; ANTIFERROMAGNETISM; CORRELATIONS; FERROMAGNETISM; MAGNETIC SUSCEPTIBILITY; MAGNETIZATION; MATHEMATICAL MODELS; MONTE CARLO METHOD; PHASE TRANSFORMATIONS; SPECIFIC HEAT; SPIN; TWO-DIMENSIONAL CALCULATIONS

Citation Formats

Murtazaev, A K, and Babaev, A. B., E-mail: b_albert78@mail.ru. Phase transitions in the two-dimensional ferro- and antiferromagnetic potts models on a triangular lattice. United States: N. p., 2012. Web. doi:10.1134/S1063776112130092.
Murtazaev, A K, & Babaev, A. B., E-mail: b_albert78@mail.ru. Phase transitions in the two-dimensional ferro- and antiferromagnetic potts models on a triangular lattice. United States. https://doi.org/10.1134/S1063776112130092
Murtazaev, A K, and Babaev, A. B., E-mail: b_albert78@mail.ru. Sat . "Phase transitions in the two-dimensional ferro- and antiferromagnetic potts models on a triangular lattice". United States. https://doi.org/10.1134/S1063776112130092.
@article{osti_22069226,
title = {Phase transitions in the two-dimensional ferro- and antiferromagnetic potts models on a triangular lattice},
author = {Murtazaev, A K and Babaev, A. B., E-mail: b_albert78@mail.ru},
abstractNote = {The phase transitions in the two-dimensional ferro- and antiferromagnetic Potts models with q = 3 states of spin on a triangular lattice are studied using cluster algorithms and the classical Monte Carlo method. Systems with linear sizes L = 20-120 are considered. The method of fourth-order Binder cumulants and histogram analysis are used to discover that a second-order phase transition occurs in the ferromagnetic Potts model and a first-order phase transition takes place in the antiferromagnetic Potts model. The static critical indices of heat capacity ({alpha}), magnetic susceptibility ({gamma}), magnetization ({beta}), and correlation radius index ({nu}) are calculated for the ferromagnetic Potts model using the finite-size scaling theory.},
doi = {10.1134/S1063776112130092},
url = {https://www.osti.gov/biblio/22069226}, journal = {Journal of Experimental and Theoretical Physics},
issn = {1063-7761},
number = 6,
volume = 115,
place = {United States},
year = {2012},
month = {12}
}