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Fizika Tverdogo Tela, 2018, Volume 60, Issue 6, Pages 1078–1085
DOI: https://doi.org/10.21883/FTT.2018.06.45980.04M (Mi ftt9157) 		 
This article is cited in 22 scientific papers (total in 22 papers)

International conference ''Phase transitions, critical and nonlinear phenomena in condensed matter'', Makhachkala, September 6-9, 2017
Magnetism

Frustrations and ordering in magnetic systems of various dimensions

F. A. Kassan-Oglya, A. I. Proshkinab

a Institute of Metal Physics, Ural Division of the Russian Academy of Sciences, Ekaterinburg
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
Full-text PDF (251 kB) Citations (22)
DOI: https://doi.org/10.21883/FTT.2018.06.45980.04M
Abstract: Based on the exact and numerical calculations within the Ising and Potts models on lattices of various types and dimensions (one-dimensional, square, triangular, hexagonal, kagome, simple cubic, and body-centered cubic), magnetic orderings, phase transitions, and frustrations were investigated, taking into account the exchange interactions between magnetic moments at the nearest and next-nearest nodes and an external magnetic field. The causes of the occurrence of frustrations are found, and the essential features of the behavior of frustrated systems that distinguish them from the nonfrustrated systems are determined.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 01201463332
Ural Branch of the Russian Academy of Sciences 15-8-2-10
English version:
Physics of the Solid State, 2018, Volume 60, Issue 6, Pages 1090–1097
DOI: https://doi.org/10.1134/S1063783418060136
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: F. A. Kassan-Ogly, A. I. Proshkin, “Frustrations and ordering in magnetic systems of various dimensions”, Fizika Tverdogo Tela, 60:6 (2018), 1078–1085; Phys. Solid State, 60:6 (2018), 1090–1097
Citation in format AMSBIB
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\by F.~A.~Kassan-Ogly, A.~I.~Proshkin
\paper Frustrations and ordering in magnetic systems of various dimensions
\jour Fizika Tverdogo Tela
\yr 2018
\vol 60
\issue 6
\pages 1078--1085
\mathnet{http://mi.mathnet.ru/ftt9157}
\crossref{https://doi.org/10.21883/FTT.2018.06.45980.04M}
\elib{https://elibrary.ru/item.asp?id=34982812}
\transl
\jour Phys. Solid State
\yr 2018
\vol 60
\issue 6
\pages 1090--1097
\crossref{https://doi.org/10.1134/S1063783418060136}
Linking options:
  • https://www.mathnet.ru/eng/ftt9157
  • https://www.mathnet.ru/eng/ftt/v60/i6/p1078
    • This publication is cited in the following 22 articles:
    1. M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, T. R. Rizvanova, “ISSLEDOVANIE FAZOVYKh PEREKhODOV I TERMODINAMIChESKIKh SVOYSTV MODELI POTTSA S FRUSTRATsIYaMI NA REShETKE KAGOME”, Žurnal èksperimentalʹnoj i teoretičeskoj fiziki, 165:3 (2024)  crossref
    2. 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  crossref
    3. 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  crossref
    4. D. R Kurbanova, M. K Ramazanov, M. A Magomedov, A. K Murtazaev, “Antiferromagnitnaya model' Pottsa na obëmno-tsentrirovannoy kubicheskoy reshetke”, Zhurnal eksperimentalnoi i teoreticheskoi fiziki, 163:6 (2023), 816  crossref
    5. K. Sh Murtazaev, M.A. Magomedov, A.K. Murtazaev, M.K. Ramazanov, “Phase diagram of the antiferromagnetic Ising model on a body-centered cubic lattice with competing exchange interactions under a magnetic field”, Physica E: Low-dimensional Systems and Nanostructures, 148 (2023), 115646  crossref
    6. 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  crossref
    7. D. R. Kurbanova, M. K. Ramazanov, M. A. Magomedov, A. K. Murtazaev, “Antiferromagnetic Potts Model on the Body-Centered Cubic Lattice”, J. Exp. Theor. Phys., 136:6 (2023), 729  crossref
    8. F.A. Kassan-Ogly, “Spontaneous magnetization of Kagome lattice in Ising model”, Journal of Magnetism and Magnetic Materials, 572 (2023), 170568  crossref
    9. 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  crossref
    10. F.A. Kassan-Ogly, A.V. Zarubin, “Frustrations on decorated triangular lattice in Ising model”, Physica A: Statistical Mechanics and its Applications, 627 (2023), 129136  crossref
    11. F. A. Kassan-Ogly, A. V. Zarubin, “Frustrations on Decorated Planar Lattices in Ising Model”, J Supercond Nov Magn, 35:6 (2022), 1647  crossref
    12. 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  mathnet  mathnet  crossref  crossref
    13. 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  crossref
    14. 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  mathnet  mathnet  crossref  crossref
    15. 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  crossref
    16. K. S. Murtazaev, A. K. Murtazaev, M. K. Ramazanov, M. A. Magomedov, A. A. Murtazaeva, “Ising model on a body-centered cubic lattice with competing exchange interactions in strong magnetic fields”, Low Temperature Physics, 47:6 (2021), 478  crossref
    17. 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  crossref
    18. Nan Si, Xin Su, Jing Meng, Hai-Ling Miao, Yan-Li Zhang, Wei Jiang, “Magnetic properties of decorated 2D kagome-like lattice”, Physica A: Statistical Mechanics and its Applications, 560 (2020), 125222  crossref
    19. A. K. Murtazaev, M. K. Ramazanov, K. Sh. Murtazaev, M. A. Magomedov, M. K. Badiev, “Effect of magnetic field on the thermodynamic and magnetic properties of the antiferromagnetic Ising model on a body-centered cubic lattice”, Phys. Solid State, 62:2 (2020), 273–277  mathnet  mathnet  crossref  crossref
    20. V. N. Nechaev, A. V. Viskovatykh, “Domain structure in nanoscale ferroelastic plate”, Ferroelectrics, 561:1 (2020), 84  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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