Skip to main content
SpringerLink
Log in

Ground-State Phase Diagram of a Mixed Spin-3/2 and Spin-7/2 Ising Model: A Study of Complex [Cr(CN)4(μ-CN)2Gd(H2O)4-(bpy)]n.4nH2O.1.5nbpy

  • Original Paper
  • Published:
Journal of Superconductivity and Novel Magnetism Aims and scope Submit manuscript

Abstract

In this work, the phase transitions, for a molecular-based magnet, are examined using mean field method (MFM). The longitudinal magnetizations can be achieved by minimizing the free energy is an interesting function for locating and induction of spin compensation temperatures as well. By applying Blume-Capel (BC) configuration to a system consisting of two sublattices for a mixed spin-3/2 and spin-7/2on a square lattice in the anisotropies plane, the ground-state phase diagram of this system has been built. On principles of Bogoliubov inequality (BI) of the free energy, it has been investigated the spin compensation phenomena. In particular, characteristic ferrimagnetic features have been shown depending on an unequal crystal field parameters (DA, DB<-1.0) applied on the A−sites and B−sites, respectively.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. Xu, L., Long, X., Liu, T., Zhu, G., Cao, J.: Magnetic properties and magnetic anisotropy of two-dimensional organometallic framework. Solid State Commun. 290, 22 (2019)

    Article  ADS  Google Scholar 

  2. Bouda, H., et al.: Hysteresis Cycle and Magnetization Behaviors of a Mixed-Spin (7/2, 3/2) Ferrimagnetic Ising Model: Monte Carlo Investigation. J. Supercond. Nov. Magn. 32(8), 2539–2550 (2019). https://doi.org/10.1007/s10948-018-4981-4

  3. Bouda, H., Bahmad, L., Masrour, R., Benyoussef, A.: Compensation behavior in a ferrimagnetic mixed spin-7/2 and Spin-3: Monte Carlo simulation. J. Supercond. Nov. Magn. 32(6), 1837–1845 (2019)

    Article  Google Scholar 

  4. N.De La Espriella, G.M. Buendía, Magnetic behavior of a mixed Ising 3/2 and 5/2 spin model, J. Phys. Condens. Matter 23 (2011) 176003. doi:https://doi.org/10.1088/0953-8984/23/17/176003

  5. Deviren, B., Keskin, M.: Dynamic phase transitions and compensation temperatures in a mixed spin-3/2 and spin-5/2 Ising system. J. Stat. Phys. 140, 934 (2010). https://doi.org/10.1007/s10955-010-0025-6

    Article  ADS  MathSciNet  MATH  Google Scholar 

  6. Albayrak, E.: The critical and compensation temperatures for the mixed spin-3/2 and spin-2 Ising model. Phys. B Condens. Matter. 391, 47–53 (2007). https://doi.org/10.1016/j.physb.2006.08.045

    Article  ADS  Google Scholar 

  7. Albayrak, E.: Mixed spin-3/2 and spin-5/2 Ising system on the Bethe lattice. Phys. Lett. A. 353, 121 (2006)

    Article  ADS  Google Scholar 

  8. Abubrig, O.F., Horvath, D., Bobak, A., Jaščur, M.: Mean-field solution of the mixed spin-1 and 3/2 Ising system with diferent single-ion anisotropies. Physica A. 296, 437 (2001)

    Article  ADS  Google Scholar 

  9. Bahlagui, T., Bouda, H., El Kenz, A., Bahmad, L., Benyoussef, A.: Monte-Carlo simulation of compensation behavior for a mixed spin-5/2 and spin-7/2 Ising system with crystal field interaction. Superlattice. Microst. 110, 90–97 (2017)

    Article  ADS  Google Scholar 

  10. Karimou, M., Yessoufou, R.A., Ngantso, G.D., Hontinfinde, F., Benyoussef, A.: Mean-field and Monte Carlo studies of the magnetic properties of a Spin-7/2 and Spin-5/2 Ising Bilayer Film. J. Supercond. Nov. Magn. 32(6,) 1769–1779 (2018). https://doi.org/10.1007/s10948-018-4876-4

  11. Jabar, A., Masrour, R.: Magnetic properties of mixed spin-5/2 and spin-2 Ising model on a decorated square lattice: a Monte Carlo simulation. Physica A. 515, 270–278 (2019)

    Article  ADS  MathSciNet  Google Scholar 

  12. Masrour, R., Jabar, A., Benyoussef, A., Hamedoun, M.: Magnetic properties of cluster dendrimers of core/shell with mixed spins σ = 3/2 and S = 2: A Monte Carlo study. Chem. Phys. Lett. 691, 199–205 (2018)

    Article  ADS  Google Scholar 

  13. Jabar, A., Masrour, R., Benyoussef, A., Hamedoun, M.: Monte Carlo study of alternate mixed spin-5/2 and spin-2 Ising ferrimagnetic system on the Bethe lattice. J. Magn. Magn. Mater. 397, 287–294 (2016)

    Article  ADS  Google Scholar 

  14. Jabar, A., Masrour, R., Benyoussef, A., Hamedoun, M.: Magnetic properties of the mixed spin-1 and spin-3/2 Ising system on a bilayer square lattice: a Monte Carlo study. Chem. Phys. Lett. 670, 16–21 (2017)

    Article  ADS  Google Scholar 

  15. Masrour, R., Jabar, A., Benyoussef, A., Hamedoun, M.: Comparable studies of magnetic properties of Ising spins-5/2 and 3/2 systems on decorated square and triangular lattices. J. Magn. Magn. Mater. 410, 223–225 (2016)

    Article  ADS  Google Scholar 

  16. Masrour, R., Jabar, A., Benyoussef, A., Hamedoun, M.: Mixed spin-5/2 and spin-2 Ising ferrimagnetic system on the Bethe lattice. J. Magn. Magn. Mater. 393, 151–156 (2015)

    Article  ADS  Google Scholar 

  17. Jabar, A., Masrour, R.: Magnetic properties of Kekulene structure: a Monte Carlo study. Physica A. 514, 974–981 (2019)

    Article  ADS  Google Scholar 

  18. Jabar, A., Masrour, R.: Monte Carlo study of the magnetic properties in a bilayer dendrimer structure with non-magnetic layers. Solid State Commun. 268, 38–43 (2017)

    Article  ADS  Google Scholar 

  19. Jabar, A., Masrour, R.: Effect of surface and interface couplings in thin film system: Monte Carlo simulation. Comput. Condens. Matter. 13, 91–95 (2017)

    Article  Google Scholar 

  20. da Cruz Filho, J.S., Godoy, M., de Arruda, A.S.: Phase diagram of the mixed spin-2and spin-5/2 Ising system with two different single-ion anisotropies. Physica A. 392, 6247 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  21. da Cruz Filho, J.S., Tunes, T.M., Godoy, M., de Arruda, A.S.: Effects of two different random single-ion anisotropies on the critical properties of a mixed spin-2 and spin-5/2 Ising system. Physica A. 450, 180 (2016)

    Article  ADS  MathSciNet  Google Scholar 

  22. Dakhama, A., Benayad, N.: On the existence of compensation temperature in 2d mixed-spin Ising ferrimagnets: an exactly solvable model. J. Magn. Magn. Mater. 213, 117 (2000)

    Article  ADS  Google Scholar 

  23. Deviren, B., Keskin, M., Canko, O.: Magnetic properties of an anti-ferromagnetic and ferrimagnetic mixed spin-1/2 and spin-5/2 Ising model in the longitudinal magnetic field within the effective-field approximation. Physica A: Stat. Mech. Appl. 388, 1835–1848 (2009). https://doi.org/10.1016/j.physa.2009.01.032

    Article  ADS  Google Scholar 

  24. De La Espriella, N., Mercado, C.A., Madera, J.C.: Spin compensation temperatures in the Monte Carlo study of a mixed spin-2 and spin-5/2 Ising ferrimagnetic system. J. Magn. Magn. Mater. 401, 22 (2016)

    Article  ADS  Google Scholar 

  25. Néel, L.: Magnetic properties of ferrites: ferrimagnetism and antiferromagnetism. Ann. Phys. 3, 137 (1948)

    Article  Google Scholar 

  26. Kaneyoshi, T., Jascur, M.: Magnetic properties of a ferromagnetic or ferrimagnetic bilayer system. Physica A. 195, 474 (1993)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. College of Science, Department of Physics, Al Muthanna University, Samawah, 550, Iraq

    Hadey K. Mohamad & Amenah Zuhair

Authors
  1. Hadey K. Mohamad
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Amenah Zuhair
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hadey K. Mohamad.

Additional information

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Mohamad, H.K., Zuhair, A. Ground-State Phase Diagram of a Mixed Spin-3/2 and Spin-7/2 Ising Model: A Study of Complex [Cr(CN)4(μ-CN)2Gd(H2O)4-(bpy)]n.4nH2O.1.5nbpy. J Supercond Nov Magn 33, 1481–1487 (2020). https://doi.org/10.1007/s10948-019-05352-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10948-019-05352-w

Keywords

Search

Navigation