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Pis'ma v Zh. Èksper. Teoret. Fiz., 2014, Volume 99, Issue 9, Pages 618–622 (Mi jetpl3732)  

This article is cited in 11 scientific papers (total in 11 papers)


Tricritical point of the three-dimensional Potts model ($q = 4$) with quenched nonmagnetic disorder

A. K. Murtazaevab, A. B. Babaevac

a Daghestan Institute of Physics after Amirkhanov
b Daghestan State University
c Daghestan State Pedagogical University

Abstract: The effect of quenched nonmagnetic impurities on the phase transitions in the three-dimensional Potts model with the number of spin states $q = 4$ for the case of the simple cubic lattice is studied using the Monte Carlo method. The phase transitions in this model are studied for spin density $p$ ranging from $1.0$ to $0.70$. The position of the tricritical point at the phase diagram is determined.


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English version:
Journal of Experimental and Theoretical Physics Letters, 2014, 99:9, 535–539

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Document Type: Article
Received: 26.03.2014
Revised: 04.04.2014

Citation: A. K. Murtazaev, A. B. Babaev, “Tricritical point of the three-dimensional Potts model ($q = 4$) with quenched nonmagnetic disorder”, Pis'ma v Zh. Èksper. Teoret. Fiz., 99:9 (2014), 618–622; JETP Letters, 99:9 (2014), 535–539

Citation in format AMSBIB
\by A.~K.~Murtazaev, A.~B.~Babaev
\paper Tricritical point of the three-dimensional Potts model ($q = 4$) with quenched nonmagnetic disorder
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2014
\vol 99
\issue 9
\pages 618--622
\jour JETP Letters
\yr 2014
\vol 99
\issue 9
\pages 535--539

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    This publication is cited in the following articles:
    1. A. K. Murtazaev, A. B. Babaev, M. A. Magomedov, F. A. Kassan-Ogly, A. I. Proshkin, “Frustrations and phase transitions in the three-vertex Potts model with next-nearest-neighbor interactions on a triangular lattice”, JETP Letters, 100:4 (2014), 242–246  mathnet  crossref  crossref  isi  elib  elib
    2. Babaev A.B., Murtazaev A.K., “Computer Simulation of Critical Behavior in Spin Models With Nonmagnetic Impurities”, Low Temp. Phys., 41:8 (2015), 608–613  crossref  adsnasa  isi  elib  scopus
    3. Murtazaev A.K., Babaev A.B., Ataeva G.Ya., “Effect of Quenched-in Nonmagnetic Impurities on Phase Transitions in a Two-Dimensional Antiferromagnetic Three-Vertex Potts Model on a Triangular Lattice”, Phys. Solid State, 57:7 (2015), 1436–1438  crossref  adsnasa  isi  elib  scopus
    4. Babaev A.B. Murtazaev A.K., “Computer simulation of diluted magnetic nanostructures”, Low Temp. Phys., 42:12 (2016), 1120–1121  crossref  isi  scopus
    5. A. B. Babaev, A. K. Murtazaev, “Tricritical point for the three-dimensional disordered Potts model ($q = 3$) on a simple cubic lattice”, JETP Letters, 105:6 (2017), 384–387  mathnet  crossref  crossref  isi  elib
    6. A. K. Murtazaev, A. B. Babaev, G. Ya. Ataeva, “Investigation of the thermodynamic properties and phase transitions in a strongly diluted three-vertex antiferromagnetic Potts model by the Monte Carlo method”, Phys. Solid State, 59:1 (2017), 141–144  crossref  isi  scopus
    7. A. B. Babaev, T. R. Rizvanova, A. K. Murtazaev, “Thermodynamic and Magnetic Properties of a Three-State Potts Model on a Triangular Lattice With Next-Neighbor Interactions”, Phys. Solid State, 59:12 (2017), 2444–2447  crossref  isi  scopus
    8. C. H. Araujo Ferraz, J. L. Sousa Lima, “Three-State Potts Model on Non-Local Directed Small-World Lattices”, Physica A, 484 (2017), 488–498  crossref  isi  scopus
    9. A. K. Murtazaev, A. B. Babaev, G. Y. Ataeva, “Phase Transitions and Thermodynamic Properties of Triangular Strongly-Diluted Antiferromagnetic Potts Model”, J. Magn. Magn. Mater., 440 (2017), 101–103  crossref  isi  scopus
    10. Babaev A.B. Murtazaev A.K. Ataeva G.Ya. Rizvanova T.R. Dzhamaludinov M.R., “Computer Simulation of Critical Behavior of Two-Dimensional Weakly Diluted Antiferromagnetic Potts Model on a Triangular Lattice”, Phys. Solid State, 60:6 (2018), 1180–1183  crossref  isi  scopus
    11. A. B. Babaev, A. K. Murtazaev, “Weak universality in the disordered two-dimensional antiferromagnetic Potts model on a triangular lattice”, JETP Letters, 107:10 (2018), 624–628  mathnet  crossref  crossref  isi
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