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Fizika Tverdogo Tela, 2020, Volume 62, Issue 5, Pages 683–688
DOI: https://doi.org/10.21883/FTT.2020.05.49230.20M (Mi ftt8422) 		 
This article is cited in 9 scientific papers (total in 9 papers)

International conference ''Phase transitions, critical and nonlinear phenomena in condensed matter'', Makhachkala, September 15-20, 2019
Magnetism

Decorated Ising square lattice in a magnetic field

F. A. Kassan-Oglya, A. I. Proshkinab, A. K. Murtazaevc, V. A. Mutailamovc

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
c Daghestan Institute of Physics after Amirkhanov, Makhachkala, Russia
Full-text PDF (346 kB) Citations (9)
DOI: https://doi.org/10.21883/FTT.2020.05.49230.20M
Abstract: Ising model on decorated square lattice is studied with arbitrary signs and values of exchange parameters in an external magnetic field. Comparison with the results of Ising madel on nondecorated square lattice is performed. It is shown that if magnetization increases antiferromagnetically then initial phase-transition-point gradually decreases up to the first frustration field and does not appear again even if further frustration fields apear. In the case of ferromagnetic type of magnetization increasing the phase transition disappears right away after switching on of magnetic field. In other words, an arbitrary low field completely suppresses the phase transition.
Keywords: Ising model, decorated square lattice, magnetic field, frustrations.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation АААА-А18-118020190095-4
Ural Branch of the Russian Academy of Sciences 18-2-2-11
This work was carried out within a state task from the Ministry of Education and Science of Russia (topic “Quantum”, no. AAAA-A18118020190095-4) and was supported in part by the Ural Branch of the Russian Academy of Sciences (project no. 18-2-2-11).
Received: 30.12.2019
Revised: 30.12.2019
Accepted: 10.01.2020
English version:
Physics of the Solid State, 2020, Volume 62, Issue 5, Pages 770–776
DOI: https://doi.org/10.1134/S1063783420050121
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: F. A. Kassan-Ogly, A. I. Proshkin, A. K. Murtazaev, V. A. Mutailamov, “Decorated Ising square lattice in a magnetic field”, Fizika Tverdogo Tela, 62:5 (2020), 683–688; Phys. Solid State, 62:5 (2020), 770–776
Citation in format AMSBIB
\Bibitem{KasProMur20}
\by F.~A.~Kassan-Ogly, A.~I.~Proshkin, A.~K.~Murtazaev, V.~A.~Mutailamov
\paper Decorated Ising square lattice in a magnetic field
\jour Fizika Tverdogo Tela
\yr 2020
\vol 62
\issue 5
\pages 683--688
\mathnet{http://mi.mathnet.ru/ftt8422}
\crossref{https://doi.org/10.21883/FTT.2020.05.49230.20M}
\elib{https://elibrary.ru/item.asp?id=42905977}
\transl
\jour Phys. Solid State
\yr 2020
\vol 62
\issue 5
\pages 770--776
\crossref{https://doi.org/10.1134/S1063783420050121}
Linking options:
  • https://www.mathnet.ru/eng/ftt8422
  • https://www.mathnet.ru/eng/ftt/v62/i5/p683
    • This publication is cited in the following 9 articles:
    1. Vadim A. Mutailamov, Akai K. Murtazaev, “Ground state of the decorated Ising model on the Kagome lattice”, Physica B: Condensed Matter, 709 (2025), 417204  crossref
    2. Vadim A. Mutailamov, Akai K. Murtazaev, “Phase diagram and ground state of the decorated Ising model on a triangular lattice with first neighbor antiferromagnetic and second neighbor ferromagnetic interactions”, Physica E: Low-dimensional Systems and Nanostructures, 155 (2024), 115828  crossref
    3. Vadim A. Mutailamov, Akai K. Murtazaev, “Phase diagram and ground state of a decorated antiferromagnetic Ising model on a triangular lattice with nearest and next nearest neighbor interactions”, Physica A: Statistical Mechanics and its Applications, 649 (2024), 129980  crossref
    4. F.A. Kassan-Ogly, “Spontaneous magnetization of Kagome lattice in Ising model”, Journal of Magnetism and Magnetic Materials, 572 (2023), 170568  crossref
    5. Liudmila E. Gonchar, “Spin Wave Spectra in Pseudoperovskite Manganites with Superexchange Interaction Competition”, Appl Magn Reson, 54:4-5 (2023), 503  crossref
    6. V. A. Mutailamov, A. K. Murtazaev, “Phase Diagram and the Ground State of the Decorated Ising Model on a Triangular Lattice with Ferromagnetic Interaction between the First Nearest Neighbors and Antiferromagnetic Interaction between the Next Nearest Neighbors”, J. Exp. Theor. Phys., 135:6 (2022), 860  crossref
    7. S. V. Semkin, V. P. Smagin, “Approximate accounting of spin correlations in the Ising model”, Phys. Solid State, 63:9 (2021), 1305–1310  mathnet  mathnet  crossref  crossref
    8. V. A. Mutailamov, A. K. Murtazaev, “Phase Diagram and Ground State of a Decorated Ising Model on a Cubic Lattice”, J. Exp. Theor. Phys., 133:1 (2021), 98  crossref
    9. E. S. Tsuvarev, F. A. Kassan-Ogly, “Decorated Ising Chain in a Magnetic Field”, J. Exp. Theor. Phys., 131:6 (2020), 976  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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