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The effective-field theory studies of critical phenomena in a mixed spin-1 and spin-2 Ising model on honeycomb and square lattices

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  • Deviren, Bayram
  • Ertaş, Mehmet
  • Keskin, Mustafa

Abstract

An effective-field theory with correlations has been used to study critical behaviors of a mixed spin-1 and spin-2 Ising system on a honeycomb and square lattices in the absence and presence of a longitudinal magnetic field. The ground-state phase diagram of the model is obtained in the longitudinal magnetic field (h) and a single-ion potential or crystal-field interaction (Δ) plane. The thermal behavior of the sublattice magnetizations of the system are investigated to characterize the nature of (continuous and discontinuous) of the phase transitions and obtain the phase transition temperature. The phase diagrams are presented in the (Δ/|J|, kBT/|J|) plane. The susceptibility, internal energy and specific heat of the system are numerically examined and some interesting phenomena in these quantities are found due to the absence and presence of the applied longitudinal magnetic field. Moreover, the system undergoes second- and first-order phase transition; hence, the system gives a tricritical point. The system also exhibits reentrant behavior.

Suggested Citation

  • Deviren, Bayram & Ertaş, Mehmet & Keskin, Mustafa, 2010. "The effective-field theory studies of critical phenomena in a mixed spin-1 and spin-2 Ising model on honeycomb and square lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(10), pages 2036-2047.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:10:p:2036-2047
    DOI: 10.1016/j.physa.2010.01.038
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    Cited by:

    1. Gharaibeh, Maen & Alqaiem, Samah & Obeidat, Abdalla & Al-Qawasmeh, Ahmad & Abedrabbo, Sufian & Badarneh, Mohammad H.A., 2021. "Magnetic properties of the ferrimagnetic triangular nanotube with core–shell structure: A Monte Carlo study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 584(C).
    2. De La Espriella, N. & Madera, J.C. & Sánchez-Caraballo, A., 2018. "Reentrant and spin compensation phenomena in an Ising type ferrimagnetic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 511(C), pages 289-301.

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