M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, M. K. Mazagaeva, “Phase transformations and thermodynamic properties of the Potts model with $q$ = 4 on a hexagonal lattice with interactions of next-nearest neighbors”, Fizika Tverdogo Tela, 62:3 (2020), 442–446; Phys. Solid State, 62:3 (2020), 499

Fizika Tverdogo Tela

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Fizika Tverdogo Tela:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Fizika Tverdogo Tela, 2020, Volume 62, Issue 3, Pages 442–446
DOI: https://doi.org/10.21883/FTT.2020.03.49011.621 (Mi ftt8476)

This article is cited in 17 scientific papers (total in 17 papers)

Lattice dynamics

Phase transformations and thermodynamic properties of the Potts model with $q$ = 4 on a hexagonal lattice with interactions of next-nearest neighbors

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

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

Full-text PDF (139 kB) Citations (17)

DOI: https://doi.org/10.21883/FTT.2020.03.49011.621

Abstract: Magnetic structures of the ground state, phase transitions and thermodynamic properties of the 2D ferromagnetic Potts model with the number of spin states $q$ = 4 on a hexagonal lattice with next-nearest neighbors interactions are investigated by the Monte Carlo method based on the Wang–Landau algorithm. It is shown that taking into account the antiferromagnetic interactions of the next-nearest neighbors leads to the appearance of frustration and a violation of magnetic ordering. The orders of the phase transitions are investigated using the Binder fourth-order cumulant method and histogram analysis of data. It is established that a first-order transition is observed in the model being investigated.

Keywords: frustrations, phase transitions, Monte Carlo method, Potts model.

Funding agency	Grant number
Russian Foundation for Basic Research	19-02-00153-а 18-32-20098-мол-а-вед
This work was supported by the Russian Foundation for Basic Research, projects nos. 19-02-00153-a and 18-32-20098-mol-a-ved.

Received: 31.10.2019
Revised: 31.10.2019
Accepted: 07.11.2019

English version:
Physics of the Solid State, 2020, Volume 62, Issue 3, Pages 499–503
DOI: https://doi.org/10.1134/S1063783420030178

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, M. K. Mazagaeva, “Phase transformations and thermodynamic properties of the Potts model with $q$ = 4 on a hexagonal lattice with interactions of next-nearest neighbors”, Fizika Tverdogo Tela, 62:3 (2020), 442–446; Phys. Solid State, 62:3 (2020), 499–503

Citation in format AMSBIB

\Bibitem{RamMurMag20}

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

\paper Phase transformations and thermodynamic properties of the Potts model with $q$ = 4 on a hexagonal lattice with interactions of next-nearest neighbors

\jour Fizika Tverdogo Tela

\yr 2020

\vol 62

\issue 3

\pages 442--446

\mathnet{http://mi.mathnet.ru/ftt8476}

\crossref{https://doi.org/10.21883/FTT.2020.03.49011.621}

\elib{https://elibrary.ru/item.asp?id=42776725}

\transl

\jour Phys. Solid State

\yr 2020

\vol 62

\issue 3

\pages 499--503

\crossref{https://doi.org/10.1134/S1063783420030178}

Linking options:

https://www.mathnet.ru/eng/ftt8476

https://www.mathnet.ru/eng/ftt/v62/i3/p442

This publication is cited in the following 17 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
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
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, M. K. Mazagaeva, A. A. Murtazaeva, “Studying the Effect of Strong Magnetic Fields on the Phase Transitions of the Frustrated Potts Model with a Number of Spin States q = 4”, Phys. Metals Metallogr., 123:3 (2022), 290
M.K. Ramazanov, A.K. Murtazaev, M.A. Magomedov, “Phase transitions in the frustrated Potts model in the magnetic field”, Physica E: Low-dimensional Systems and Nanostructures, 140 (2022), 115226
K. Sh. Murtazaev, A. K. Murtazaev, M. K. Ramazanov, M. A. Magomedov, “Phase Transitions in an Antiferromagnetic Ising Model with Competitive Exchange Interactions in a Magnetic Field”, Bull. Russ. Acad. Sci. Phys., 86:2 (2022), 130
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, “Kompyuternoe modelirovanie dvumernoi modeli Pottsa s konkuriruyuschimi obmennymi vzaimodeistviyami”, Dagestanskie elektronnye matematicheskie izvestiya, 2021, no. 16, 16–23
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
M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, T. R. Rizvanova, A. A. Murtazaeva, “Phase diagram of the Potts model with the number of spin states q = 4 on a kagome lattice”, Low Temperature Physics, 47:5 (2021), 396
A. K. Murtazaev, M. K. Mazagaeva, M. K. Ramazanov, M. A. Magomedov, “Phase Diagram of the Antiferromagnetic Potts Model with Number q = 4 of Spin States in the Hexagonal Lattice”, Phys. Metals Metallogr., 122:5 (2021), 428
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”, Phys. Solid State, 63:5 (2021), 742–747
M. K. Ramazanov, A. K. Murtazaev, “Kompyuternoe modelirovanie modeli Pottsa s chislom sostoyanii spina $q = 4$ na treugolnoi reshetke”, Dagestanskie elektronnye matematicheskie izvestiya, 2020, no. 13, 57–64
D. R. Kurbanova, A. K. Murtazaev, M. K. Ramazanov, M. A. Magomedov, T. A. Taaev, “Frustrated Potts Model with Spin States Number q = 4 on a Triangular Lattice”, J. Exp. Theor. Phys., 131:6 (2020), 951
A. K. Murtazaev, T. R. Rizvanova, M. K. Ramazanov, M. A. Magomedov, “Phase transitions and the thermodynamic properties of the Potts model with the spin state number $q$ = 4 at a kagome lattice”, Phys. Solid State, 62:8 (2020), 1434–1438

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

Statistics & downloads:
Abstract page:	113
Full-text PDF :	38

Registration to the website

Logotypes