A. K. Murtazaev, M. K. Mazagaeva, M. K. Ramazanov, M. A. Magomedov, A. A. Murtazaevа, “Phase diagram of the Potts model with the number of spin states $q$ = 4 on a hexagonal lattice”, Fizika Tverdogo Tela, 63:5 (2021), 622–627; Phys. Solid State, 63:5 (2021), 742

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Fizika Tverdogo Tela, 2021, Volume 63, Issue 5, Pages 622–627
DOI: https://doi.org/10.21883/FTT.2021.05.50812.270 (Mi ftt8131)

This article is cited in 9 scientific papers (total in 9 papers)

Magnetism

Phase diagram of the Potts model with the number of spin states

$q$ = 4 on a hexagonal lattice

A. K. Murtazaev^ab, M. K. Mazagaeva^a, M. K. Ramazanov^ab, M. A. Magomedov^ab, A. A. Murtazaevа^a

^a Institute of Physics, Dagestan Federal Research Center, Russian Academy of Sciences
^b Dagestan Federal Research Center, Russian Academy of Sciences, Makhachkala, Russia

Full-text PDF (231 kB) Citations (9)

DOI: https://doi.org/10.21883/FTT.2021.05.50812.270

Abstract: We have carried out Monte Carlo investigations of the phase transitions, thermodynamic properties and ground-state magnetic structures in two-dimensional 4-state Potts model on a hexagonal lattice with the competing exchange interactions. Researches are carried out for the value of interaction of next-nearest neighbor in the range of 0.0

$\le r\le$ 1.0. Taking into account of antiferromagnetic interaction of next-nearest neighbor is shown to lead to the violation of the magnetic ordering. The phase diagram of dependence of critical temperature on the value of interaction of next-nearest neighbor is plotted. Of the orders of phase transitions has been carried out. It is established that the phase transition of the first order is observed in the ranges of 0.0

$\le r\le$ 0.2 and 0.7

$\le r\le$ 1.0. In the range of 0.3

$\le r\le$ 0.6 frustration are observed.

Keywords: frustration, phase diagram, monte Carlo method, Potts model.

Funding agency	Grant number
Russian Foundation for Basic Research	19-02-00153-а
This work was supported by the Russian Foundation for Basic Research, project no. 19-02-00153-a.

Received: 24.12.2020
Revised: 24.12.2020
Accepted: 19.01.2021

English version:
Physics of the Solid State, 2021, Volume 63, Issue 5, Pages 742–747
DOI: https://doi.org/10.1134/S1063783421050139

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: A. K. Murtazaev, M. K. Mazagaeva, M. K. Ramazanov, M. A. Magomedov, A. A. Murtazaevа, “Phase diagram of the Potts model with the number of spin states

$q$ = 4 on a hexagonal lattice”, Fizika Tverdogo Tela, 63:5 (2021), 622–627; Phys. Solid State, 63:5 (2021), 742–747

Citation in format AMSBIB

\Bibitem{MurMazRam21}

\by A.~K.~Murtazaev, M.~K.~Mazagaeva, M.~K.~Ramazanov, M.~A.~Magomedov, A.~A.~Murtazaevа

\paper Phase diagram of the Potts model with the number of spin states $q$ = 4 on a hexagonal lattice

\jour Fizika Tverdogo Tela

\yr 2021

\vol 63

\issue 5

\pages 622--627

\mathnet{http://mi.mathnet.ru/ftt8131}

\crossref{https://doi.org/10.21883/FTT.2021.05.50812.270}

\elib{https://elibrary.ru/item.asp?id=46348325}

\transl

\jour Phys. Solid State

\yr 2021

\vol 63

\issue 5

\pages 742--747

\crossref{https://doi.org/10.1134/S1063783421050139}

Linking options:

https://www.mathnet.ru/eng/ftt8131

https://www.mathnet.ru/eng/ftt/v63/i5/p622

This publication is cited in the following 9 articles:

M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, M. K. Mazagaeva, “Influence of Magnetic Field on Phase Transitions in the Antiferromagnetic Potts Model”, Phys. Metals Metallogr., 125:6 (2024), 563
M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, M. K. Mazagaeva, “Influence of magnetic field on phase transitions in the antiferromagnetic Potts model”, Fizika metallov i metallovedenie, 125:6 (2024), 637
M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, M. K. Mazagaeva, “Phase Transitions in a Frustrated Four-Vertex Potts Model on a Hexagonal Lattice in a Magnetic Field”, Fizika metallov i metallovedenie, 124:5 (2023), 339
A. B. Babaev, A. K. Murtazaev, “Simulation of the Three-Component Potts Model on a Hexagonal Lattice by the Monte Carlo Method”, Fizika metallov i metallovedenie, 124:7 (2023), 577
M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, M. K. Mazagaeva, “Phase Transitions in a Frustrated Four-Vertex Potts Model on a Hexagonal Lattice in a Magnetic Field”, Phys. Metals Metallogr., 124:5 (2023), 429
G. Ya. Ataeva, A. B. Babaev, A. K. Murtazaev, “Calculating the Relative Variances of Magnetization, Heat Capacity, and Susceptibility in a Two-Dimensional Weakly Diluted Four-Component Potts Model”, Fizika metallov i metallovedenie, 124:7 (2023), 584
D. R. Kurbanova, A. K. Murtazaev, M. K. Ramazanov, M. A. Magomedov, “Phase diagram of the four-vertex Potts model with competing exchange interactions”, JETP Letters, 115:8 (2022), 471–476
M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, “Frustrated Potts Model with Number of Spin States q = 4 in Magnetic Field”, J. Exp. Theor. Phys., 134:6 (2022), 693
M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, M. K. Mazagaeva, “Phase transitions and the magnetic properties of the Potts model with four spin states on a hexagonal lattice in low magnetic fields”, JETP Letters, 114:11 (2021), 693–698

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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