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Pis'ma v Zh. Èksper. Teoret. Fiz., 2014, Volume 100, Issue 4, Pages 267–271 (Mi jetpl4099)  

This article is cited in 9 scientific papers (total in 9 papers)

CONDENSED MATTER

Frustrations and phase transitions in the three-vertex Potts model with next-nearest-neighbor interactions on a triangular lattice

A. K. Murtazaevab, A. B. Babaevcb, M. A. Magomedovab, F. A. Kassan-Oglyd, A. I. Proshkind

a Daghestan State University, Makhachkala
b Daghestan Institute of Physics after Amirkhanov
c Daghestan State Pedagogical University
d Institute of Metal Physics, Ural Division of the Russian Academy of Sciences, Ekaterinburg

Abstract: Phase transitions in two-dimensional arrays described by the three-vertex Potts model involving the interactions between magnetic moments located at the nearest-neighbor and next-nearest-neighbor sites of a triangular lattice are studied using the Monte Carlo method. The ratio of the next-nearest-neighbor and nearest-neighbor exchange constants $r=J_2/J_1=0\div1.0$ is chosen within the $0$$1$ range. The analysis of the low temperature behavior of the entropy and density of states in the system, as well as of the fourth-order Binder cumulants, shows that in the range $0\leq r<0.2$, this model exhibits a first-order phase transition, whereas at $r\geq0.2$, frustrations arise in such a system.

DOI: https://doi.org/10.7868/S0370274X1416005X

Full text: PDF file (415 kB)
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English version:
Journal of Experimental and Theoretical Physics Letters, 2014, 100:4, 242–246

Bibliographic databases:

Received: 09.07.2014

Citation: 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”, Pis'ma v Zh. Èksper. Teoret. Fiz., 100:4 (2014), 267–271; JETP Letters, 100:4 (2014), 242–246

Citation in format AMSBIB
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\paper Frustrations and phase transitions in the three-vertex Potts model with next-nearest-neighbor interactions on a triangular lattice
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2014
\vol 100
\issue 4
\pages 267--271
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\crossref{https://doi.org/10.7868/S0370274X1416005X}
\elib{http://elibrary.ru/item.asp?id=21997959}
\transl
\jour JETP Letters
\yr 2014
\vol 100
\issue 4
\pages 242--246
\crossref{https://doi.org/10.1134/S0021364014160115}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Ramazanov M.K. Murtazaev A.K. Magomedov M.A., Solid State Commun., 233 (2016), 35–40  crossref  adsnasa  isi  elib  scopus
    2. Babaev A.B., Murtazaev A.K., Low Temp. Phys., 42:12 (2016), 1120–1121  crossref  isi  scopus
    3. Babaev A.B., Murtazaev A.K., Suleimanov E.M., Rizvanova T.R., Phys. Solid State, 58:10 (2016), 2074–2077  crossref  isi  elib  scopus
    4. Murtazaev A.K., Babaev A.B., Magomedov M.A., Kassan-Ogly F.A., Proshkin A.I., Solid State Commun., 246 (2016), 41–46  crossref  isi  elib  scopus
    5. Babaev A.B., Magomedov M.A., Murtazaev A.K., Kassan-Ogly F.A., Proshkin A.I., J. Exp. Theor. Phys., 122:2 (2016), 310–317  crossref  isi  elib  scopus
    6. A. B. Babaev, T. R. Rizvanova, A. K. Murtazaev, Phys. Solid State, 59:12 (2017), 2444–2447  crossref  isi  scopus
    7. A. B. Babaev, A. K. Murtazaev, G. Ya. Ataeva, T. R. Rizvanova, M. R. Dzhamaludinov, Phys. Solid State, 60:6 (2018), 1180–1183  crossref  isi  scopus
    8. A. B. Babaev, A. K. Murtazaev, F. A. Kassan-Ogly, J. Exp. Theor. Phys., 127:2 (2018), 323–327  crossref  isi  scopus
    9. A. B. Babaev, A. K. Murtazaev, F. A. Kassan-Ogly, Low Temp. Phys., 44:11 (2018), 1145–1148  crossref  isi  scopus
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