Volume 6, Issue 4, July 2014, Pages 746–757
M. Zoubir1 and Abdeslam El Hajbi2
1 Laboratory of Physical Chemistry, Department of Chemistry, Faculty of Science, Chouaib Doukkali University BP 20, 24000, El Jadida, Morocco
2 Laboratory of Physical Chemistry, Department of Chemistry, Faculty of Science, Chouaib Doukkali University BP 20, 24000, El Jadida, Morocco
Original language: English
Copyright © 2014 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
In the work reported here we looked at the magnetic behaviour of a 3/2 spin system with crystalline anisotropy and transverse field. The spin Hamiltonian considered here contains terms which cannot be commuted further, giving rise to important quantum effects: quantum fluctuations and thermal fluctuations. We used the mean field approximation method to determine the expressions of magnetization along the z (longitudinal) axis and the x (transverse) axis, as well as the partition function. The thermal variations mz and mx for different values of the transverse field show that the latter inhibits order along the z axis and encourages spin confinement in the transverse plane.
Author Keywords: crystal anisotropy, Ising model, magnetization, spin system, transverse field.
M. Zoubir1 and Abdeslam El Hajbi2
1 Laboratory of Physical Chemistry, Department of Chemistry, Faculty of Science, Chouaib Doukkali University BP 20, 24000, El Jadida, Morocco
2 Laboratory of Physical Chemistry, Department of Chemistry, Faculty of Science, Chouaib Doukkali University BP 20, 24000, El Jadida, Morocco
Original language: English
Copyright © 2014 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In the work reported here we looked at the magnetic behaviour of a 3/2 spin system with crystalline anisotropy and transverse field. The spin Hamiltonian considered here contains terms which cannot be commuted further, giving rise to important quantum effects: quantum fluctuations and thermal fluctuations. We used the mean field approximation method to determine the expressions of magnetization along the z (longitudinal) axis and the x (transverse) axis, as well as the partition function. The thermal variations mz and mx for different values of the transverse field show that the latter inhibits order along the z axis and encourages spin confinement in the transverse plane.
Author Keywords: crystal anisotropy, Ising model, magnetization, spin system, transverse field.
How to Cite this Article
M. Zoubir and Abdeslam El Hajbi, “Evaluating the effect of crystal field and transverse field on a 3/2 spin system using the Ising model,” International Journal of Innovation and Applied Studies, vol. 6, no. 4, pp. 746–757, July 2014.
