Magnetic Properties of Diluted Spinels MgxNi1−xFe2O4 Systems: Are Studied by Green’s Functions and Mean Field Theories
American Journal of Science, Engineering and Technology
Volume 4, Issue 3, September 2019, Pages: 48-54
Received: Mar. 6, 2019; Accepted: May 5, 2019; Published: Oct. 29, 2019
Views 151      Downloads 52
Authors
Abdellah El Grini, Laboratoire de Physique du Solide, Faculté des Siences DharMahraz, Université Sidi Mohammed Ben Abdellah, Fès, Morocco
Said Salmi, Laboratoire de Physique du Solide, Faculté des Siences DharMahraz, Université Sidi Mohammed Ben Abdellah, Fès, Morocco
Abdelouahid Azouaoui, Laboratoire de Physique du Solide, Faculté des Siences DharMahraz, Université Sidi Mohammed Ben Abdellah, Fès, Morocco
Ahmed Hourmatallah, Equipe de Physique du Solide, Laboratoire LIPI, Ecole Normale Supérieure, Bensouda, Fès, Morocco
Khalid Bouslykhane, Laboratoire de Physique du Solide, Faculté des Siences DharMahraz, Université Sidi Mohammed Ben Abdellah, Fès, Morocco
Mohamed Hamedoun, MAScIR, Institute of Nanomaterials and Nanotechnologies, Rabat, Morocco
Najib Benzakour, Laboratoire de Physique du Solide, Faculté des Siences DharMahraz, Université Sidi Mohammed Ben Abdellah, Fès, Morocco
Article Tools
Follow on us
Abstract
Many-body Green's function, and mean field theories have been developed for magnetic systems MgxNi1−xFe2O4. We apply this theory to evaluate thermal magnetization and magnetic susceptibility for different values of magnetic field and dilution x, by considering all components of the magnetisation when an external magnetic field is applied in (x-z)-plane. The critical temperatures of MgxNi1−xFe2O4 systems in the range 0 ≤ x ≤ 1 have been deduced. The Green's function results are compared with the results of high temperature series expansion technique, and experimental magnetic measurements.
Keywords
Spinels, Heisenberg Model, Exchange Interaction, Green’s Function, Random-Phase Approximation (RPA)
To cite this article
Abdellah El Grini, Said Salmi, Abdelouahid Azouaoui, Ahmed Hourmatallah, Khalid Bouslykhane, Mohamed Hamedoun, Najib Benzakour, Magnetic Properties of Diluted Spinels MgxNi1−xFe2O4 Systems: Are Studied by Green’s Functions and Mean Field Theories, American Journal of Science, Engineering and Technology. Vol. 4, No. 3, 2019, pp. 48-54. doi: 10.11648/j.ajset.20190403.12
Copyright
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
References
[1]
S. B. Lazarev, M. Pantić, B. S. Tošić. Green’s function theory of free electrons in thin films. Physica. A. 1997;246:53.
[2]
O. Schute, F. Klose, W. Felch, Phys. Rev. B. 52 (1995) 6480.
[3]
M. Farle, B. Mirwald Schulz, A. N. Anisimov, W. Platow, K. Baberschke, Phys. Rev. B. 55 (1997) 3708.
[4]
P. Frobrich, J. Jensen, P. J. Kuntz, Eur. Phys. J. B. 13 (2000) 477.
[5]
P. Frobrich and al, Eur. Phys. J. B. 18 (2000) 579.
[6]
S. V. Tyablikov. Methods in the quantum theory of magnetism. Ukr. Mat. Zh. 1959;11:289.
[7]
S. Salmi, M. El Azhari, A. El Grini, A. Hourmatallah, N. Benzakour, K. Bouslykhane and A. Marzouk. IOP Conf. Series: Materials Science and Engineering 186 (2017) 012016.
[8]
Mahbubul Haque Md , Kazi Hanium Maria, Shamima Choudhury, Mahabub Alam Bhuiyan and.Hakim M A, Journal of Ceramic Processing Research. 14 (2013) 82–86.
[9]
P. Frobrich et al.: Eur. Phys. J. B. 13, 744 2000.
[10]
K. Elk, W. Gasser. Die methode der greenschenfunktionen in der festkorperphysik. Berlin: Akademie-Verlag; 1978.
[11]
W. Nolting, Quanten theorie des Magnetismus, 2 Stuttgart: B. G. Teubner; 1986.
[12]
A. Narath, Phys. Rev. 140, (1965) A854.
[13]
F. B. Anderson, H. B. Callen, Phys. Rev. 136, (1964) A1068.
[14]
F. Bloch. Z. Phys. 61 (1930) 206.
[15]
K. Elk and W. Gasser, Die Methode der Greenschen Funktionen in der Festkorperphysik (Akademie-Verlag, Berlin, 1978).
[16]
H. B. Callen, Phys. Rev. 130 (1963) 890.
[17]
W. E. Holland and H. A. Broun (1972). Phys-Stat. Sol (a) 10,249.
[18]
Mazhar U. Rana, Tahir Abbas. Materials Letters 57 (2002) 925–928.
[19]
R. Masrour, M. Hamedoun, A. Benyoussef, A. Hourmatallah, K. Bouslykhane, N. Benzakour. Chin. Phys. Lett 2511(2008) 4117.
ADDRESS
Science Publishing Group
1 Rockefeller Plaza,
10th and 11th Floors,
New York, NY 10020
U.S.A.
Tel: (001)347-983-5186