The Effect of the Crystal Field Interaction on the Critical Temperatures and the Sublattice Magnetizations of a Mixed Spin-3/2 and Spin-5/2 Ferrimagnetic System
The influence of the crystal field interactions on the mixed spin-3/2 and spin-5/2 ferrimagnetic Ising system is considered by using the mean field theory based on Bogoliubov inequality for the Gibbs free energy. The ground-state phase diagram is constructed, the phase diagrams of the second-order critical temperatures are obtained, and the thermal variation of the sublattice magnetizations is investigated in detail. We find some interesting phenomena for the sublattice magnetizations at particular values of the crystal field interactions.
[1] Drillon M, Coronado E, Beltran D, Georges R. Classical treatment of a heisenberg linear chain with spin alternation; application to the MnNi(EDTA)⋅6H2O complex. Chem Phys, 1983, 79: 449-453.
[2] M. Mansuripur, "Magnetization Reversal, Coercivity, and the Process of Thermomagnetic Recording in Thin Films of Amorphous Rare Earth Transition Metal Alloys,” Journal of Applied Physics, Vol. 61, No. 4, 1987, pp. 1580-1587.
[3] O. Kahn, in: E. Coronado, et al., (Eds.), Molecular Magnetism: From Molecular Assemblies to the Devices, Kluwer Academic Publishers, Dordrecht, 1996.
[4] L. L. Goncaloves, "Uniaxial Anisotropy Effects in the Ising Model: An Exactly Soluble Model,” Physica Scripta, Vol. 33, No. 2, 1986, p. 192.
[5] A. Dakhama and N. Benayad, "On the Existence of Compensation Temperature in 2d Mixed-Spin Ising Ferri magnets: An Exactly Solvable Model,” Journal of Magnetism and Magnetic Materials, Vol. 213, No. 1-2, 2000, pp. 117-125.
[6] N. R. da Silva and S. R. Salinas, "Mixed-Spin Ising Model on Beth Lattice,” Physical Review, Vol. 44, No. 2, 1991, pp. 852-855.
[7] J. W. Tucker, "The Ferrimagnetic Mixed Spin-1/2 and Spin-1 Sing System,” Journal of Magnetism and Magnetic Materials, Vol. 195, No. 3, 1999, pp.
[8] T. Kaneyoshi and J. C. Chen, "Mean-Field Analysis of a Ferrimagnetic Mixed Spin System,” Journal of Magnet ism and Magnetic Materials, Vol. 98, No. 1-2, 1991, pp. 201-204.
[9] T. Kaneyoshi, "Curie Temperatures and Tricritical Points in Mixed Ising Ferromagnetic Systems,” The Physical Society of Japan, Vol. 56, 1987, pp. 2675-2680. doi:10.1143/JPSJ.56.2675.
[10] T. Kaneyoshi, "Phase Transition of the Mixed Spin System with a Random Crystal Field,” Physica A, Vol. 153, No. 3, 1988, pp. 556-566..
[11] T. Kaneyoshi, M. Jascur and P. Tomczak, "The Ferri magnetic Mixed Spin-1/2 and Spin-3/2 Ising System,” Journal of Physics: Condensed Matter, Vol. 4, No. 49, 1992, pp. L653-L658.
[12] T. Kaneyoshi, "Tricritical Behavior of a Mixed Spin-1/2 and Spin-2 Ising System,” Physica A, Vol. 205, No. 4, 1994, pp. 677-686.
[13] A. Bobak and M. Jurcisin, "Discussion of Critical Behaviour in a Mixed-Spin Ising Model,” Physica A, Vol. 240, No. 3-4, 1997, pp. 647-656.
[14] S. G. A. Quadros and S. R. Salinas, "Renormalization Group Calculations for a Mixed-Spin Ising Model,” Physica A: Statistical Mechanics and Its Applications, Vol. 206, No. 3-4, 1994, pp. 479-496.
[15] G. M. Zhang, Ch.Z. Yang, "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, Vol. 48, No. 13, 1993, pp. 9452-9455.
[16] G. M. Buendia and M. A. Novotny, "Numerical Study of a Mixed Ising Ferrimagnetic System,” Journal of Physics: Condensed Matter, Vol. 9, No. 27, 1997, pp. 5951-5964.
[17] G. M. Buendia and J. A. Liendo, "Monte Carlo Simulation of a Mixed Spin-1/2 and Spin-3/2 Ising Ferrimagnetic System,” Journal of Physics: Condensed Matter, Vol. 9, No. 25, 1997, pp. 5439-5448.
[18] Bobak, "The Effect of Anisotropies on the Magnetic Pro perties of a Mixed Spin-1 and Spin-3/2 Ising Ferrimag netic System,” Physica A, Vol. 258, No. 1-2, 1998, pp. 140-156.
[19] A. Bobak, O. F. Abubrig and D. Horvath, "An Effective-Field Study of the Mixed Spin-1 and Spin-3/2 Ising Ferrimagnetic System,” Journal of Magnetism and Magnetic Materials, Vol. 246, No. 1-2, 2002, pp. 177-183.
[20] O. F. Abubrig, D. Horváth, A. Bobák and M. Jaščur, Mean-field solution of the mixed spin-1 and spin-3/2 Ising system with different single-ion anisotropies, Physica A 296 (2001) 437-450.
[21] J. W. Tucker, "Mixed Spin-1 and Spin-3/2 Blume-Capel Ising Ferromagnet,” Journal of Magnetism and Mgnetic Materials, Vol. 237, No. 2, 2001, pp. 215-224.
[22] Y. Nakamura and J. W. Tucker. Monte Carlo study of a mixed spin-1 and spin-3/2 Ising system ferromagnet. IEEE Trans. Magn., 38:2406–2408, 2002.
[23] A. Bobak, "The Effect of Anisotropies on the Magnetic Properties of a Mixed Spin-1 and Spin-3/2 Ising Ferri magnetic System,” Physica A, Vol. 258, No. 1-2, 1998, pp. 140-156.
[24] E. Albayrak, "Mixed-Spin-2 and Spin-5/2 Blume-Emery Griffiths Model,” Physica A: Statistical Mechanics and Its Applications, Vol. 375, No. 1, 2007, pp. 174-184.
[25] M. Keskin and M. Ertas, "Existence of a Dynamic Compensation Temperature of a Mixed Spin-2 and Spin-5/2 Ising Ferrimagnetic System in an Oscillating Field,” Physical Review E, Vol. 80, No. 6, 2009.
[26] B. Deviren, E. Kantar and M. Keskin, "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, Vol. 56, No. 6, 2010, pp. 1738-1747.
[1] Drillon M, Coronado E, Beltran D, Georges R. Classical treatment of a heisenberg linear chain with spin alternation; application to the MnNi(EDTA)⋅6H2O complex. Chem Phys, 1983, 79: 449-453.
[2] M. Mansuripur, "Magnetization Reversal, Coercivity, and the Process of Thermomagnetic Recording in Thin Films of Amorphous Rare Earth Transition Metal Alloys,” Journal of Applied Physics, Vol. 61, No. 4, 1987, pp. 1580-1587.
[3] O. Kahn, in: E. Coronado, et al., (Eds.), Molecular Magnetism: From Molecular Assemblies to the Devices, Kluwer Academic Publishers, Dordrecht, 1996.
[4] L. L. Goncaloves, "Uniaxial Anisotropy Effects in the Ising Model: An Exactly Soluble Model,” Physica Scripta, Vol. 33, No. 2, 1986, p. 192.
[5] A. Dakhama and N. Benayad, "On the Existence of Compensation Temperature in 2d Mixed-Spin Ising Ferri magnets: An Exactly Solvable Model,” Journal of Magnetism and Magnetic Materials, Vol. 213, No. 1-2, 2000, pp. 117-125.
[6] N. R. da Silva and S. R. Salinas, "Mixed-Spin Ising Model on Beth Lattice,” Physical Review, Vol. 44, No. 2, 1991, pp. 852-855.
[7] J. W. Tucker, "The Ferrimagnetic Mixed Spin-1/2 and Spin-1 Sing System,” Journal of Magnetism and Magnetic Materials, Vol. 195, No. 3, 1999, pp.
[8] T. Kaneyoshi and J. C. Chen, "Mean-Field Analysis of a Ferrimagnetic Mixed Spin System,” Journal of Magnet ism and Magnetic Materials, Vol. 98, No. 1-2, 1991, pp. 201-204.
[9] T. Kaneyoshi, "Curie Temperatures and Tricritical Points in Mixed Ising Ferromagnetic Systems,” The Physical Society of Japan, Vol. 56, 1987, pp. 2675-2680. doi:10.1143/JPSJ.56.2675.
[10] T. Kaneyoshi, "Phase Transition of the Mixed Spin System with a Random Crystal Field,” Physica A, Vol. 153, No. 3, 1988, pp. 556-566..
[11] T. Kaneyoshi, M. Jascur and P. Tomczak, "The Ferri magnetic Mixed Spin-1/2 and Spin-3/2 Ising System,” Journal of Physics: Condensed Matter, Vol. 4, No. 49, 1992, pp. L653-L658.
[12] T. Kaneyoshi, "Tricritical Behavior of a Mixed Spin-1/2 and Spin-2 Ising System,” Physica A, Vol. 205, No. 4, 1994, pp. 677-686.
[13] A. Bobak and M. Jurcisin, "Discussion of Critical Behaviour in a Mixed-Spin Ising Model,” Physica A, Vol. 240, No. 3-4, 1997, pp. 647-656.
[14] S. G. A. Quadros and S. R. Salinas, "Renormalization Group Calculations for a Mixed-Spin Ising Model,” Physica A: Statistical Mechanics and Its Applications, Vol. 206, No. 3-4, 1994, pp. 479-496.
[15] G. M. Zhang, Ch.Z. Yang, "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, Vol. 48, No. 13, 1993, pp. 9452-9455.
[16] G. M. Buendia and M. A. Novotny, "Numerical Study of a Mixed Ising Ferrimagnetic System,” Journal of Physics: Condensed Matter, Vol. 9, No. 27, 1997, pp. 5951-5964.
[17] G. M. Buendia and J. A. Liendo, "Monte Carlo Simulation of a Mixed Spin-1/2 and Spin-3/2 Ising Ferrimagnetic System,” Journal of Physics: Condensed Matter, Vol. 9, No. 25, 1997, pp. 5439-5448.
[18] Bobak, "The Effect of Anisotropies on the Magnetic Pro perties of a Mixed Spin-1 and Spin-3/2 Ising Ferrimag netic System,” Physica A, Vol. 258, No. 1-2, 1998, pp. 140-156.
[19] A. Bobak, O. F. Abubrig and D. Horvath, "An Effective-Field Study of the Mixed Spin-1 and Spin-3/2 Ising Ferrimagnetic System,” Journal of Magnetism and Magnetic Materials, Vol. 246, No. 1-2, 2002, pp. 177-183.
[20] O. F. Abubrig, D. Horváth, A. Bobák and M. Jaščur, Mean-field solution of the mixed spin-1 and spin-3/2 Ising system with different single-ion anisotropies, Physica A 296 (2001) 437-450.
[21] J. W. Tucker, "Mixed Spin-1 and Spin-3/2 Blume-Capel Ising Ferromagnet,” Journal of Magnetism and Mgnetic Materials, Vol. 237, No. 2, 2001, pp. 215-224.
[22] Y. Nakamura and J. W. Tucker. Monte Carlo study of a mixed spin-1 and spin-3/2 Ising system ferromagnet. IEEE Trans. Magn., 38:2406–2408, 2002.
[23] A. Bobak, "The Effect of Anisotropies on the Magnetic Properties of a Mixed Spin-1 and Spin-3/2 Ising Ferri magnetic System,” Physica A, Vol. 258, No. 1-2, 1998, pp. 140-156.
[24] E. Albayrak, "Mixed-Spin-2 and Spin-5/2 Blume-Emery Griffiths Model,” Physica A: Statistical Mechanics and Its Applications, Vol. 375, No. 1, 2007, pp. 174-184.
[25] M. Keskin and M. Ertas, "Existence of a Dynamic Compensation Temperature of a Mixed Spin-2 and Spin-5/2 Ising Ferrimagnetic System in an Oscillating Field,” Physical Review E, Vol. 80, No. 6, 2009.
[26] B. Deviren, E. Kantar and M. Keskin, "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, Vol. 56, No. 6, 2010, pp. 1738-1747.
@article{"International Journal of Engineering, Mathematical and Physical Sciences:66799", author = "Fathi Abubrig and Mohamed Delfag and Suad M. Abuzariba", title = "The Effect of the Crystal Field Interaction on the Critical Temperatures and the Sublattice Magnetizations of a Mixed Spin-3/2 and Spin-5/2 Ferrimagnetic System", abstract = "The influence of the crystal field interactions on the mixed spin-3/2 and spin-5/2 ferrimagnetic Ising system is considered by using the mean field theory based on Bogoliubov inequality for the Gibbs free energy. The ground-state phase diagram is constructed, the phase diagrams of the second-order critical temperatures are obtained, and the thermal variation of the sublattice magnetizations is investigated in detail. We find some interesting phenomena for the sublattice magnetizations at particular values of the crystal field interactions.
", keywords = "Crystal field, Ising system, Ferrimagnetic, magnetization, phase diagrams. ", volume = "8", number = "3", pages = "549-7", }
