Skip to main content
SpringerLink
Log in

Effect of quenched-in nonmagnetic impurities on phase transitions in a two-dimensional antiferromagnetic three-vertex Potts model on a triangular lattice

  • Phase Transitions
  • Published:
Physics of the Solid State Aims and scope Submit manuscript

Abstract

The effect of quenched-in nonmagnetic impurities on phase transitions in a two-dimensional diluted antiferromagnetic three-vertex Potts model on a triangular lattice has been investigated using the Monte Carlo method. The systems with linear dimensions L × L = N and L = 9–144 have been considered. It has been shown using the fourth-order Binder cumulant method that the introduction of a quenched-in disorder into a spin system described by the two-dimensional antiferromagnetic Potts model leads to a change from the first-order phase transition to the second-order phase transition.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. Z. Patashinskii and V. A. Pokrovskii, Fluctuation Theory of Phase Transitions (Pergamon, London, 1979; Nauka, Moscow, 1982).

    Google Scholar 

  2. K. Wilson and J. Kogut, The Renormalization Group and the ɛ-Expansion (Wiley, New York, 1974; Mir, Moscow, 1975).

    Google Scholar 

  3. H. Stanley, Introduction to Phase Transitions and Critical Phenomena (Pergamon, Oxford, 1971; Mir, Moscow, 1973).

    Google Scholar 

  4. V. S. Dotsenko, Phys.-Usp. 38(5), 457 (1995).

    Article  ADS  Google Scholar 

  5. A. K. Murtazaev, A. B. Babaev, and G. Ya. Ataeva, Low Temp. Phys. 39(2), 147 (2013).

    Article  ADS  Google Scholar 

  6. A. K. Murtazaev and A. B. Babaev, J. Exp. Theor. Phys. 115(6), 1042 (2012).

    Article  ADS  Google Scholar 

  7. A. K. Murtazaev and A. B. Babaev, Bull. Russ. Acad. Sci.: Phys. 77(10), 1272 (2013).

    Article  Google Scholar 

  8. X. Qian, Y. Deng, and W. Blote, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 72(10), 056132 (2005).

    Article  ADS  Google Scholar 

  9. F. Y. Wu, Rev. Mod. Phys. 54, 235 (1982).

    Article  ADS  Google Scholar 

  10. K. Eichhorn and K. Binder, J. Phys.: Condens. Matter 8, 5209 (1996).

    ADS  Google Scholar 

  11. D. Loison and K. D. Schotte, Eur. Phys. J. B 5, 735 (1998).

    Article  ADS  Google Scholar 

  12. A. K. Murtazaev, A. B. Babaev, and G. Y. Aznaurova, Solid State Phenom. 168–169, 357 (2011).

    Google Scholar 

  13. A. K. Murtazaev and A. B. Babaev, J. Magn. Magn. Mater. 324, 3870 (2012).

    Article  ADS  Google Scholar 

  14. A. K. Murtazaev, A. B. Babaev, and G. Ya. Aznaurova, Phys. Solid State 50(4), 733 (2008).

    Article  ADS  Google Scholar 

  15. A. K. Murtazaev and A. B. Babaev, J. Magn. Magn. Mater. 321, 2630 (2009).

    Article  ADS  Google Scholar 

  16. A. K. Murtazaev and A. B. Babaev, JETP Lett. 99(9), 535 (2014).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Kh.I. Amirkhanov Institute of Physics, Daghestan Scientific Center of the Russian Academy of Sciences, ul. M. Yagarskogo 94, Makhachkala, 367003, Dagestan, Russia

    A. K. Murtazaev, A. B. Babaev & G. Ya. Ataeva

  2. Dagestan State University, ul. Gadzhieva 43a, Makhachkala, 367000, Dagestan, Russia

    A. K. Murtazaev

  3. Dagestan State Pedagogical University, ul. M. Yagarskogo 57, Makhachkala, 367003, Dagestan, Russia

    A. B. Babaev

Authors
  1. A. K. Murtazaev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. B. Babaev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. G. Ya. Ataeva
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. B. Babaev.

Additional information

Original Russian Text © A.K. Murtazaev, A.B. Babaev, G.Ya. Ataeva, 2015, published in Fizika Tverdogo Tela, 2015, Vol. 57, No. 7, pp. 1410–1412.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Murtazaev, A.K., Babaev, A.B. & Ataeva, G.Y. 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, 1436–1438 (2015). https://doi.org/10.1134/S1063783415070239

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063783415070239

Keywords

Search

Navigation