Phase transitions of a mixed spin ferrimagnet in high temperatures
DOI:
https://doi.org/10.32792/utq/utjsci/v10i1.1046Keywords:
Molecular mean field theory, Ferrimagnetic phase transition, Crystal field domain, Spin free energy function, Curie temperatureAbstract
In this research paper molecular mean field theory (MMFT) has been investigated based on Gibbs-Bogoliubov free energy function of a ferromagnetic mixed spin-3 and spin-5/2 Blume-Capel model with different magnetic crystal fields. The free energy of the proposed ferrimagnet has been evaluated depending on the trial Hamiltonian operator. Minimizing the free energy, one may induce characteristic features of the longitudinal magnetizations, phase transitions and spin compensation temperatures, in the ranges of low temperatures, respectively. In particular, we study the effect of crystal field domains on the critical phenomena for the proposed model. The sublattice magnetization dependence of freerenergy function has been discussed as well. Our results predict the existence of multiple spin compensation sites in the disordered Blume-Capel Ising system for a simple cubic lattice.
References
J. Kplé, S. Massou, F. Hontinfinde, and E. Albayrak, "Spin-1/2 Ising model on a AFM/FM two-layer Bethe lattice in a staggered magnetic field," Chinese journal of physics, vol. 56, no. 3, pp. 1252-1261, 2018.
R. Masrour and A. Jabar, "Monte Carlo study of magnetic and thermodynamic properties of a ferrimagnetic Ising on the bathroom tile (4–8) lattice," Journal of Superconductivity and Novel Magnetism, vol. 30, no. 8, pp. 2115-2121, 2017
A. Feraoun and M. Kerouad, "The mixed spin-(1, 3/2) Ising nanowire with core/inter-shell/outer-shell morphology," Applied Physics A, vol. 124, pp. 1-9, 2018
E. Kantar and M. Ertaş, "The hysteretic features of ternary spins (1/2, 1, 3/2) idealized Ising nanoparticles on the core–multishell structure," The European Physical Journal Plus, vol. 137, no. 5, p. 643, 2022
M. Ertaş, "Dynamic magnetic properties of the spin-7/2 Ising nanowire systems with core–shell structure," The European Physical Journal Plus, vol. 137, no. 2, p. 178, 2022..
C. Mercado, N. De La Espriella, and L. Sánchez, "Ground state phase diagrams for the mixed Ising 2 and 5/2 spin model," Journal of Magnetism and Magnetic Materials, vol. 382, pp. 288-295, 2015.
J. Brabers, V. Duijn, F. De Boer, and K. Buschow, "Magnetic properties of rare-earth manganese compounds of the RMn6Ge6 type," Journal of alloys and compounds, vol. 198, no. 1-2, pp. 127-132, 1993.
G. Venturini, B. C. El Idrissi, E. Ressouche, and B. Malaman, "Magnetic structure of TbMn6Ge6 from neutron diffraction study," Journal of alloys and compounds, vol. 216, no. 2, pp. 243-250, 1995.
M. Karimou, R. Yessoufou, G. Ngantso, F. Hontinfinde, and A. Benyoussef, "Mean-field and Monte Carlo studies of the magnetic properties of a spin-7/2 and spin-5/2 Ising bilayer film," Journal of Superconductivity and Novel Magnetism, vol. 32, pp. 1769-1779, 2019.
T. Kaneyoshi and M. Jaščur, "Magnetic properties of a ferromagnetic or ferrimagnetic bilayer system," Physica A: Statistical Mechanics and its Applications, vol. 195, no. 3-4, pp. 474-496, 1993.
A. Bobák, "The effect of anisotropies on the magnetic properties of a mixed spin-1 and spin-32 Ising ferrimagnetic system," Physica A: Statistical Mechanics and its Applications, vol. 258, no. 1-2, pp. 140-156, 1998.
T. Kaneyoshi, Y. Nakamura, and S. Shin, "A diluted mixed spin-2 and spin-5/2 ferrimagnetic Ising system; a study of a molecular-based magnet," Journal of Physics: Condensed Matter, vol. 10, no. 31, p. 7025, 1998.
Y. Nakamura, "Existence of a compensation temperature of a mixed spin-2 and spin-5 2 Ising ferrimagnetic system on a layered honeycomb lattice," Physical Review B, vol. 62, no. 17, p. 11742, 2000.
A. Özkan, "A simulation of the mixed spin 3–spin 3/2 ferrimagnetic Ising model," Phase transitions, vol. 89, no. 1, pp. 94-105, 2016.
M. Godoy, V. S. Leite, and W. Figueiredo, "Mixed-spin Ising model and compensation temperature," Physical Review B, vol. 69, no. 5, p. 054428, 2004.
R. Masrour, A. Jabar, L. Bahmad, M. Hamedoun, and A. Benyoussef, "Magnetic properties of mixed integer and half-integer spins in a Blume–Capel model: A Monte Carlo study," Journal of Magnetism and Magnetic Materials, vol. 421, pp. 76-81, 2017.
R. Masrour and A. Jabar, "Magnetic properties of multilayered with alternating magnetic wires with the mixed spins-2 and 5/2 ferrimagnetic Ising model," Superlattices and Microstructures, vol. 109, pp. 641-647, 2017.
B. Deviren, M. Keskin, and O. Canko, "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: Statistical Mechanics and its Applications, vol. 388, no. 9, pp. 1835-1848, 2009.
A. Dakhama and N. Benayad, "On the existence of compensation temperature in 2d mixed-spin Ising ferrimagnets: an exactly solvable model," Journal of Magnetism and Magnetic Materials, vol. 213, no. 1-2, pp. 117-125, 2000.
H. Miao, G. Wei, and J. Geng, "Phase transitions and multicritical points in the mixed spin-3/2 and spin-2 Ising model with different single-ion anisotropies," Journal of magnetism and magnetic materials, vol. 321, no. 24, pp. 4139-4144, 2009.
G. Buendia and J. Liendo, "Monte Carlo simulation of a mixed spin 2 and spin Ising ferrimagnetic system," Journal of Physics: Condensed Matter, vol. 9, no. 25, p. 5439, 1997.
E. Albayrak and A. Yigit, "Mixed spin-3/2 and spin-5/2 Ising system on the Bethe lattice," Physics Letters A, vol. 353, no. 2-3, pp. 121-129, 2006.
J. Oitmaa and I. Enting, "A series study of a mixed-spin ferrimagnetic Ising model," Journal of Physics: Condensed Matter, vol. 18, no. 48, p. 10931, 2006.
L. Néel, "Magnetic properties of ferrites: ferrimagnetism and antiferromagnetism," Physical Chemical & Earth Sciences, no. 31, p. 18, 1984.
S. Ferlay, T. Mallah, R. Ouahès, P. Veillet, and M. Verdaguer, "A Chromium− Vanadyl Ferrimagnetic Molecule-Based Magnet: Structure, Magnetism, and Orbital Interpretation," Inorganic Chemistry, vol. 38, no. 2, pp. 229-234, 1999.
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