Superparamagnetism Phenomenon for a Mixed Spin Ferrimagnetic Binary System


  • Aqeel Ghafel Al Muthanna University, College of Science, Physics Department, Samawah550, Iraq
  • Hadey K. Mohamad Al Muthanna University, College of Science, Physics Department, Samawah550, Iraq



Decorated ferrimagnets, triangular lattice, Nodal and decorating anisotropies, superparamagnetic behaviour


A decorated ferrimagnetic mixed triangular system was studied using the molecular mean-field approximation. The outcomes of the investigation were examined using the Blume-Capel Ising model. The study paper investigates the influence of crystal and external magnetic fields on ferrimagnetic devices decorated with mixed spin-2 and spin-7/2 of a triangular lattice. It is noteworthy that spin-2 ions are located at the nodal points, whereas six additional spin-7/2 ions surround the proposed lattice. Altering the exchange interactions through the specific crystal and external magnetic fields induces superparamagnetic behaviours. New characteristics reveal that mixed spin triangular decorated ferrimagnets exhibit superparamagnetic behaviour at DA∕|J2|=-2.5, with J1 = -0.5 and J2 = -1.0 in the range (15 ≤ KBT /|J2| ≤ 18). It is important to note that the total magnetization changes with the external magnetic field and affects the superparamagnetism phenomenon of a decorated mixed spin ferrimagnet when DA/|J2| = 8, and DB/|J2|=-11, J1 = -0.5 and J2 = 1, for KBT/|J2| = 2, 2.5, 3, 3.5, and 4 Ko respectively.


. S. Bedanta, W. Kleemann. "Supermagnetism" J. Phys. D Appl. Phys. 42 (2009), 013001, https://doi. org/10.1088/0022-3727/42/1/013001.

. O. Raita, et al. "Superparamagnetic behavior of ZnFe204 nanoparticles as evidenced by EPR." J. Optoelectron. Adv. Mater 17.9-10,2015.

. Y. Nakamura, "Monte Carlo simulation of mixed S = 2 and S = 5/2 Ising system," Prog. Theor. Phys. Suppl, no. 138, pp.466-467,2000, doi:10.1143/PTPS. 138.466.

. V. Stubňa and M. Jaščur, "Mixed spin-1/2 and 3/2 Ising model with multipin interactions on a decorated square lattice," J. Magn. Magn. Mater, vol 442, pp364-370, 2017, doi:10. 1016/j. jmmm. 2017.07. 011.

. M. Boughrara and M. Kerouad, "Phase transition and magnetic properties of a decorated Ising film: Monte Carlo and effective field treatments". Phys. A Stat.387, no.24, PP.6105-6114, 2008, doi: 10.1016/j.physa.2008.07.006.

. R. Masrour, A. Jabar, A. Benyoussef, and M. Hamedoun, "Comparable studies of magnetic properties of Ising spins-5/2 and 3/2 systems on decorated square and triangular lattices", J. Magn. Magn. Mater., vol. 410, pp. 223-225, 2016, doi: 10.1016/j.jmmm.2016.03.035.

. M. Karimou and N. De La Espriella, "Critical phenomena in a two-dimensional ferrimagnetic system: Monte Carlo and Mean-Field Analysis," Phys. A Stat. Mech. its Appl., vol. 531, p. 121738, 2019, doi: 10.1016/j.physa 2019.121738.

. H K. Mohamad, "Crystal fields induced compensation temperatures in a decorated square lattice," Indian J. Phys., 2022, doi: 10.1007/s12648-022-02280-9.

. A. Jabar and R. Masrour, "Magnetic properties of mixed spin-5/2 and spin-2 Ising model on a decorated square lattice: A Monte Carlo simulation," Phys. A Stat. Mech. its Appl., vol. 515, pp.270-278,2019,doi: 10.1016/j.physa.2018.09.190.

. H. Jie Song, S. You, X. Hualia, J. Yang. "MoS2 nanosheets decorated with magnetic Fe3O4 nanoparticles and their ultrafast adsorption for wastewater treatment" V. 41, Issue 10, P. A, December 2015, PP. 13896-13902.

. J.M. Yeomans, Statistical Mechanics of Phase Transitions, Oxford University Press,1992.

. B. Deviren, M. Keshin, "Dynamic Phase Transitions and Compensation Temperatures in a Mixed Spin-3/2 and Spin-5/2 Ising System", J State Phys, Vol. 140, pp.934-947, 2010.

. W. Wang, et al. "Effects of the single-ion anisotropy on magnetic and thermodynamic properties of a ferrimagnetic mixed-spin (1, 3/2) cylindrical Ising nanowire." Super lattices and Microstructures 98,2016.

. A. Feraoun, M. Kerouad, the mixed spin-(1,3/2) Ising nanowire with core/inter shell/outer-shell morphology, Appl. Phys. A, 2018.

. T. Kaneyoshi, M. Jascur and Tomczak, "The Ferrimagnetic Mixed Spin-1/2 and -3/2 Ising system", J. Phys.: Condens. Matter 4, pp. L653- L658, 1992.

. A. Bobak and M. Jascur, "Correlated Effective-Field Theory of the Site-Diluted Ising Model," Journal of Magnetism and Magnetic Materials 136, pp. 105-117, 1994.

. H. K. Mohamad, "Magnetic and Thermodynamic Properties of a Mixed Spin-1 and Spin -7/2 Blume-Capel Ising Ferrimagnetic System", International Journal of Advanced Research, Vol. 2, No. 9, pp. 442-453, 2014.

. F. Abubrig, "Mean-Field Solution of The Mixed Spin-2 and Spin-5/2 Ising Ferrimagnetic System with Different Single-Ion Anisotropies", Open Journal of Applied Sciences, pp. 270-277, 2013.

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

. A. Bobak, "The Effect of Anisotropies on The Magnetic Properties of a Mixed Spin-1 and Spin-3/2 Ising Ferrimagnetic System", Physica A 258, pp. 140-156, 1998.

. J. Oitmaa and I. G. Enting, "A series of a Mixed-Spin S  1/ 2,1 Ferrimagnetic Ising Model", J. Physica Condens. Matter, Vol. 18, pp. 10931-10942, 2006.

. B. Deviren, M. Keskin, and O. Canko, "Magnetic Properties of an Antiferromagnetic and Ferrimagnetic Mixed Spin-12 and Spin-52 Ising Model in The Longitudinal Magnetic Field within The Effective-Field Approximation", Physica A 388, PP. 1835-1848, 2009.

. H. Miao, G. Wei, J. Geng, Phase transitions and I multicritical points in the mixed spin-3/2 and spin-2 Ising model with different single-ion-anisotropies, J. Magn. Magn. Mater., vol.321, p.4139(2009).

. B. Boughazi, M Boughrara, M Kerouad, Phase diagrams and magnetic properties of ferrimagnetic mixed spin- 1/2and spin-3/2 Ising nanowire, Physica A.vol.465, p. 628(2017).

M. Boughrara, M. Kerouad, and M. Saber, "Effect of a random longitudinal field and crystal field on a decorated ferrimagnetic Ising model," J. Magn. Magn. Mater., vol. 316, no.2 SPEC. ISS., pp. 287-290, 2007, doi:10.1016 j. jmmm.2007.02.120.








How to Cite

Superparamagnetism Phenomenon for a Mixed Spin Ferrimagnetic Binary System. (2024). University of Thi-Qar Journal of Science, 11(1), 55-62.