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Pis'ma v Zh. Èksper. Teoret. Fiz., 2015, Volume 101, Issue 10, Pages 793–798 (Mi jetpl4641)  

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


Phase transitions and critical characteristics in the layered antiferromagnetic Ising model with next-nearest-neighbor intralayer interactions

M. K. Ramazanova, A. K. Murtazaevab

a Amirkhanov Institute of Physics, Dagestan Scientific Center, Russian Academy of Sciences, ul. Yaragskogo 94, Makhachkala, 367003, Russia
b Dagestan State University, ul. Gadzhieva 43a, Makhachkala, 367025, Russia

Abstract: Phase transitions and critical characteristics of the layered antiferromagnetic Ising model in the case of a cubic lattice with next-nearest-neighbor intralayer interactions are studied in the framework of the Monte Carlo method implementing the replica algorithm. The characteristics of the phase transitions are analyzed within the histogram method and with the Binder cumulants. For the model under study, it is found that the transition from the superantiferromagnetic phase to the paramagnetic one is a second order phase transition. The static critical exponents for the specific heat $\alpha$, susceptibility $\gamma$, order parameter $\beta$, correlation radius $\nu$, and the Fisher exponent $\eta$ are calculated using the finite-size scaling theory. It is shown that the three-dimensional Ising model for the cubic lattice with next-nearest-neighbor interactions belongs to the same universality class of critical behavior as the completely frustrated three-dimensional Ising model.


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English version:
Journal of Experimental and Theoretical Physics Letters, 2015, 101:10, 714–718

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Received: 10.04.2015
Revised: 17.04.2015

Citation: M. K. Ramazanov, A. K. Murtazaev, “Phase transitions and critical characteristics in the layered antiferromagnetic Ising model with next-nearest-neighbor intralayer interactions”, Pis'ma v Zh. Èksper. Teoret. Fiz., 101:10 (2015), 793–798; JETP Letters, 101:10 (2015), 714–718

Citation in format AMSBIB
\by M.~K.~Ramazanov, A.~K.~Murtazaev
\paper Phase transitions and critical characteristics in the layered antiferromagnetic Ising model with next-nearest-neighbor intralayer interactions
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2015
\vol 101
\issue 10
\pages 793--798
\jour JETP Letters
\yr 2015
\vol 101
\issue 10
\pages 714--718

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    This publication is cited in the following articles:
    1. M. K. Ramazanov, A. K. Murtazaev, JETP Letters, 103:7 (2016), 460–464  mathnet  crossref  crossref  isi  elib
    2. Badiev M.K., Murtazaev A.K., Ramazanov M.K., J. Exp. Theor. Phys., 123:4 (2016), 623–628  crossref  isi  elib  scopus
    3. M. K. Ramazanov, A. K. Murtazaev, JETP Letters, 106:2 (2017), 86–91  mathnet  crossref  crossref  isi  elib
    4. A. K. Murtazaev, M. K. Ramazanov, Phys. Solid State, 59:9 (2017), 1822–1828  crossref  isi  scopus
    5. A. K. Murtazaev, M. K. Ramazanov, D. R. Kurbanova, M. K. Badiev, Ya. K. Abuev, Phys. Solid State, 59:6 (2017), 1103–1109  crossref  isi  scopus
    6. M. K. Ramazanov, A. K. Murtazaev, Phase Transit., 91:1 (2018), 83–91  crossref  isi  scopus
    7. A. K. Murtazaev, M. K. Ramazanov, M. K. Badiev, Physica A, 507 (2018), 210–218  crossref  mathscinet  isi  scopus
    8. A. K. Murtazaev, M. K. Ramazanov, D. R. Kurbanova, M. K. Badiev, Phys. Solid State, 60:6 (2018), 1173–1176  crossref  isi  scopus
    9. M. K. Ramazanov, A. K. Murtazaev, M. A. Magomedov, M. K. Badiev, Phase Transit., 91:6 (2018), 610–618  crossref  isi  scopus
    10. A. K. Murtazaev, M. A. Magomedov, M. K. Ramazanov, JETP Letters, 107:4 (2018), 259–263  mathnet  crossref  crossref  isi  elib
    11. A. K. Murtazaev, M. K. Ramazanov, M. A. Magomedov, D. R. Kurbanova, Phys. Solid State, 60:9 (2018), 1848–1852  crossref  isi  scopus
    12. A. O. Sorokin, Phys. Lett. A, 382:48 (2018), 3455–3462  crossref  mathscinet  isi  scopus
    13. Murtazaev A.K. Ramazanov M.K. Kurbanova D.R. Magomedov M.A. Murtazaev K.Sh., Mater. Lett., 236 (2019), 669–671  crossref  isi  scopus
    14. Ramazanov M.K. Murtazaev A.K. Magomedov M.A., Physica A, 521 (2019), 543–550  crossref  isi  scopus
    15. Murtazaev A.K. Ramazanov M.K. Kurbanova D.R. Magomedov M.A. Badiev M.K. Mazagaeva M.K., Phys. Solid State, 61:6 (2019), 1107–1112  crossref  isi
    16. M. K. Ramazanov, A. K. Murtazaev, JETP Letters, 109:9 (2019), 589–593  mathnet  crossref  crossref  isi  elib
    17. A. O. Sorokin, Theoret. and Math. Phys., 200:2 (2019), 1193–1204  mathnet  crossref  crossref  adsnasa  isi  elib
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