The Magnetic Susceptibility at The Transition Points Between The Ordered Phases of The Mixed Spin-2 and Spin-7/2 Ferrimagnetic System

Authors

  • Fathi Omar Abubrig Physics Department, Faculty of Science, Alasmarya Islamic University, Zliten, Libya

DOI:

https://doi.org/10.59743/jmset.v2i2.106

Keywords:

Ising model, Ferrimagentic system, Critical temperatures, Magnetic susceptibility, Phase transition

Abstract

The mixed-spin-2 and spin-7/2 Ising ferrimagnetic system is studied by using the mean-field theory based on Bogoliubov inequality for free energy. In a previous paper, the ground state phase diagram of this system was constructed. In that phase diagram, eight ordered and four disordered phases were found. In this paper, at temperatures higher than zero, first-order critical lines which separate different-ordered phases are obtained in the temperature-mono-crystal field Plane at some selected points of mono-crystal field constants. New ordered phases which are separated by first ordered lines at low temperatures are found, the curves represent the thermal variation of the sublattice, and total susceptibilities are plotted in the regions of the new phases and some interesting results for the sublattice susceptibilities which change their behaviors by changing the phase are found.

References

Abubrig F. (2013). Mean-Field Solution of a Mixed Spin-3/2 and Spin-2 Ising Ferrimagnetic System with Different Single-Ion Anisotropies. Open Journal of Applied Sciences, 3: 218-223.

Abubrig F. (2013). 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, 3: 270-277.

Abubrig F., and Gneper M. (2016). Phase Transitions and Multicritical Points in the Mixed Spin-2 and spin-7/2 Ising Ferrimagnetic System with Two Crystal Field Interactions. Journal of Humanities and Applied Science, 28: 34-52.

Abubrig O.F., Horvath D., Bobak A., and Jascur M. (2001). Mean-Field Solution of the Mixed Spin-1 and Spin-3/2 Ising System with Different Single-Ion Anisotropies. Physica A, 296(3-4): 437-450.

Albayrak E. (2007). Mixed-Spin-2 and Spin-5/2 Blume-Emery- Griffiths Model. Physica A: Statistical Mechanics and Its Applications, 375(1): 174-184.

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

Bobak A., and Jurcisin M. (1997). Discussion of Critical Behaviour in a Mixed-Spin Ising Model,” Physica A, 240 (3-4): 647-656.

Bobak A., Abubrig O.F., and Horvath D. (2002). An Effective-Field Study of the Mixed Spin-1 and Spin-3/2 Ising Ferrimagnetic System. Journal of Magnetism and Magnetic Materials, 246(1-2): 177-183.

Bobak A., and Dely J. (2007). Phase Transitions and Multicriti- cal Points in the Mixed Spin-3/2 and Spin-2 Ising System with a Single-Ion Anisotropy. Journal of Magnetism and Magnetic Materials, 310(2): 1419-1421.

Buendia G.M., and Liendo J.A. (1997). Monte Carlo Simulation of a Mixed Spin-1/2 and Spin-3/2 Ising Ferrimagnetic System. Journal of Physics: Condensed Matter, 9(25): 5439-5448.

Buendia G.M., and Novotny M.A. (1997). Numerical Study of a Mixed Ising Ferrimagnetic System, Journal of Physics: Condensed Matter, 9(27): 5951-5964.

Deviren B., Kantar E., and Keskin M. (2010). Magnetic Proper- ties of a Mixed Spin-3/2 and Spin-2 Ising Ferrimagnetic System within the Effective-Field Theory. Journal of the Korean Physical Society, 56 (6): 1738-1747.

Kaneyoshi V., and Chen J.C. (1991). Mean-Field Analysis of a Ferrimagnetic Mixed Spin System,” Journal of Magnetism and Magnetic Materials, 98(1-2): 201-204.

Kaneyoshi T., Jascur M., and Tomczak P. (1992). The Ferrimagnetic Mixed Spin-1/2 and Spin-3/2 Ising System. Journal of Physics: Condensed Matter, 4(49): L653-L658.

Kaneyoshi T. (1994). Tricritical Behavior of a Mixed Spin-1/2 and Spin-2 Ising System. Physica A, 205(4): 677-686.

Khan O. (1993). Molecular Magnetism, VCH Publishers, NewYork, USA.

Li J., Du A., and Wei G. Z. (2003). Green Function Study of a Mixed-Spin-2 and Spin-5/2 Heisenberg Ferrimagnetic System on a Honeycomb Lattice. Physica Status Solidi (b), 238(1): 191-197.

Li J., Du A., and Wei G.Z. (2004). The Compensation Behavior of a Mixed-Spin-2 and Spin-5/2 Heisenberg Ferrimagnetic System on a Honeycomb Lattice. Physica B, 348(1-4): 79-88.

Mallah T., Thiébaut S., Verdaguer M., and Veillet P. (1993). Molecular-based magnets with high magnetic-ordering temperatures, Science, 262(5139): 1554-7.

Mansuripur M., (1987). Magnetization Reversal, "Coercivity, and the Process of Thermomagnetic Recording in Thin Films of Amorphous Rare Earth Transition Metal Alloys. Journal of Applied Physics, 61(4): 1580- 1587.

Nakamura Y. (2000). Existence of a Compensation Tempera- ture of a Mixed Spin-2 and Spin-5/2 Ising Ferrimagnetic System on a Layered Honeycomb Lattice. Physical Review B, 62(17): 11742-11746.

Nakamura Y. (2000). Monte Carlo Study of a Mixed Spin-2 and Spin-5/2 Ising System on a Honeycomb Lattice. Journal of Physics: Condensed Matter, 12(17): 4067-4074.

Nakamura Y., and Tucker J.W. (2002). Monte Carlo Study of a Mixed Spin-1 and Spin-3/2 Ising Ferromagnet. IEEE Transactions on Magnetics, 38(5): 2406-2408.

Quadros S.G.A., and Salinas S.R. (1994). Renormalization- Group Calculations for a Mixed-Spin Ising Model. Phy- sica A: Statistical Mechanics and Its Applications, 206(3-4): 479-496.

Tanaka F., Tanaka S., and Imamura N. (1987). Magneto-Optical Recording Characteristics of TbFeCo Media by Magnetic Field Modulation Method. Japan Journal of Applied Physics, 26: 231-235.

Tucker J.W. (1999). The Ferrimagnetic Mixed Spin-1/2 and Spin-1 Sing System. Journal of Magnetism and Magnetic Materials, 195 (3): 733-740.

Tucker J.W. (2001). Mixed Spin-1 and Spin-3/2 Blume-Capel Ising Ferromagnet,” Journal of Magnetism and Magnetic Materials, 237(2): 215-224.

Wang Wei, Dan Lv, Zhang Fan, Bi Jiang-lin, and Chen Junnan (2016). Monte Carlo simulation of magnetic properties of a mixed spin-2 and spin-5/2 ferrimagnetic Ising system in a longitudinal magnetic field. Journal of Magnetism and Magnetic Materials, 385: 16-26.

Zhang G.M., and Yang C.Z. (1993). Monte Carlo Study of the Two-Dimensional Quadratic Ising Ferromagnet with Spins S=1/2 and S=1 and with Crystal-Field Interactions. Physical Review B, 48(13): 9452-9455.

Published

2016-12-31

How to Cite

Abubrig, F. O. (2016). The Magnetic Susceptibility at The Transition Points Between The Ordered Phases of The Mixed Spin-2 and Spin-7/2 Ferrimagnetic System . Journal of Marine Sciences and Environmental Technologies, 2(2), A 45–68. https://doi.org/10.59743/jmset.v2i2.106

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