Phase transitions in a twodimensional antiferromagnetic Potts model on a triangular lattice with nextnearest neighbor interactions
Abstract
Phase transitions (PTs) and frustrations in twodimensional structures described by a threevertex antiferromagnetic Potts model on a triangular lattice are investigated by the Monte Carlo method with regard to nearest and nextnearest neighbors with interaction constants J{sub 1} and J{sub 2}, respectively. PTs in these models are analyzed for the ratio r = J{sub 2}/J{sub 1} of nextnearest to nearest exchange interaction constants in the interval r = 0–1.0. On the basis of the analysis of the lowtemperature entropy, the density of states function of the system, and the fourthorder Binder cumulants, it is shown that a Potts model with interaction constants J{sub 1} < 0 and J{sub 2} < 0 exhibits a firstorder PT in the range of 0 ⩽ r < 0.2, whereas, in the interval 0.2 ⩽ r ⩽ 1.0, frustrations arise in the system. At the same time, for J{sub 1} > 0 and J{sub 2} < 0, frustrations arise in the range 0.5 < r < 1.0, while, in the interval 0 ⩽ r ⩽ 1/3, the model exhibits a secondorder PT.
 Authors:

 Russian Academy of Sciences, Amirkhanov Institute of Physics, Dagestan Scientific Center (Russian Federation)
 Russian Academy of Sciences, Institute of Metal Physics, Ural Branch (Russian Federation)
 Publication Date:
 OSTI Identifier:
 22617354
 Resource Type:
 Journal Article
 Journal Name:
 Journal of Experimental and Theoretical Physics
 Additional Journal Information:
 Journal Volume: 122; Journal Issue: 2; Other Information: Copyright (c) 2016 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 10637761
 Country of Publication:
 United States
 Language:
 English
 Subject:
 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ANTIFERROMAGNETISM; BINDERS; DENSITY OF STATES; ENTROPY; EXCHANGE INTERACTIONS; MONTE CARLO METHOD; PHASE TRANSFORMATIONS; SIMULATION; TRIANGULAR CONFIGURATION; TWODIMENSIONAL CALCULATIONS; TWODIMENSIONAL SYSTEMS
Citation Formats
Babaev, A. B., Email: balbert78@mail.ru, Magomedov, M. A., Murtazaev, A. K., KassanOgly, F. A., and Proshkin, A. I. Phase transitions in a twodimensional antiferromagnetic Potts model on a triangular lattice with nextnearest neighbor interactions. United States: N. p., 2016.
Web. doi:10.1134/S1063776116020163.
Babaev, A. B., Email: balbert78@mail.ru, Magomedov, M. A., Murtazaev, A. K., KassanOgly, F. A., & Proshkin, A. I. Phase transitions in a twodimensional antiferromagnetic Potts model on a triangular lattice with nextnearest neighbor interactions. United States. https://doi.org/10.1134/S1063776116020163
Babaev, A. B., Email: balbert78@mail.ru, Magomedov, M. A., Murtazaev, A. K., KassanOgly, F. A., and Proshkin, A. I. Mon .
"Phase transitions in a twodimensional antiferromagnetic Potts model on a triangular lattice with nextnearest neighbor interactions". United States. https://doi.org/10.1134/S1063776116020163.
@article{osti_22617354,
title = {Phase transitions in a twodimensional antiferromagnetic Potts model on a triangular lattice with nextnearest neighbor interactions},
author = {Babaev, A. B., Email: balbert78@mail.ru and Magomedov, M. A. and Murtazaev, A. K. and KassanOgly, F. A. and Proshkin, A. I.},
abstractNote = {Phase transitions (PTs) and frustrations in twodimensional structures described by a threevertex antiferromagnetic Potts model on a triangular lattice are investigated by the Monte Carlo method with regard to nearest and nextnearest neighbors with interaction constants J{sub 1} and J{sub 2}, respectively. PTs in these models are analyzed for the ratio r = J{sub 2}/J{sub 1} of nextnearest to nearest exchange interaction constants in the interval r = 0–1.0. On the basis of the analysis of the lowtemperature entropy, the density of states function of the system, and the fourthorder Binder cumulants, it is shown that a Potts model with interaction constants J{sub 1} < 0 and J{sub 2} < 0 exhibits a firstorder PT in the range of 0 ⩽ r < 0.2, whereas, in the interval 0.2 ⩽ r ⩽ 1.0, frustrations arise in the system. At the same time, for J{sub 1} > 0 and J{sub 2} < 0, frustrations arise in the range 0.5 < r < 1.0, while, in the interval 0 ⩽ r ⩽ 1/3, the model exhibits a secondorder PT.},
doi = {10.1134/S1063776116020163},
url = {https://www.osti.gov/biblio/22617354},
journal = {Journal of Experimental and Theoretical Physics},
issn = {10637761},
number = 2,
volume = 122,
place = {United States},
year = {2016},
month = {2}
}