Magnetic Properties of Diluted Spinels MgxNi1−xFe2O4 Systems: Are Studied by Green’s Functions and Mean Field Theories

Abdellah El Grini; Said Salmi; Abdelouahid Azouaoui; Ahmed Hourmatallah; Khalid Bouslykhane; Mohamed Hamedoun; Najib Benzakour

doi:doi:10.11648/j.ajset.20190403.12

Magnetic Properties of Diluted Spinels Mg_xNi_1−xFe₂O₄ Systems: Are Studied by Green’s Functions and Mean Field Theories

Abdellah El Grini, Said Salmi, Abdelouahid Azouaoui, Ahmed Hourmatallah, Khalid Bouslykhane, Mohamed Hamedoun, Najib Benzakour

Published in American Journal of Science, Engineering and Technology (Volume 4, Issue 3)

Received: 6 March 2019 Accepted: 5 May 2019 Published: 29 October 2019

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

Abstract

Many-body Green's function, and mean field theories have been developed for magnetic systems Mg_xNi_1−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 Mg_xNi_1−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.

Published in	American Journal of Science, Engineering and Technology (Volume 4, Issue 3)
DOI	10.11648/j.ajset.20190403.12
Page(s)	48-54
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2019. Published by Science Publishing Group

Keywords

Spinels, Heisenberg Model, Exchange Interaction, Green’s Function, Random-Phase Approximation (RPA)

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.

Cite This Article

Plain Text BibTeX RIS

APA Style

Abdellah El Grini, Said Salmi, Abdelouahid Azouaoui, Ahmed Hourmatallah, Khalid Bouslykhane, et al. (2019). 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, 4(3), 48-54. https://doi.org/10.11648/j.ajset.20190403.12

Copy | Download

ACS Style

Abdellah El Grini; Said Salmi; Abdelouahid Azouaoui; Ahmed Hourmatallah; Khalid Bouslykhane, et al. Magnetic Properties of Diluted Spinels MgxNi1−xFe2O4 Systems: Are Studied by Green’s Functions and Mean Field Theories. Am. J. Sci. Eng. Technol. 2019, 4(3), 48-54. doi: 10.11648/j.ajset.20190403.12

Copy | Download

AMA Style

Abdellah El Grini, Said Salmi, Abdelouahid Azouaoui, Ahmed Hourmatallah, Khalid Bouslykhane, et al. Magnetic Properties of Diluted Spinels MgxNi1−xFe2O4 Systems: Are Studied by Green’s Functions and Mean Field Theories. Am J Sci Eng Technol. 2019;4(3):48-54. doi: 10.11648/j.ajset.20190403.12

Copy | Download

@article{10.11648/j.ajset.20190403.12,
  author = {Abdellah El Grini and Said Salmi and Abdelouahid Azouaoui and Ahmed Hourmatallah and Khalid Bouslykhane and Mohamed Hamedoun and Najib Benzakour},
  title = {Magnetic Properties of Diluted Spinels MgxNi1−xFe2O4 Systems: Are Studied by Green’s Functions and Mean Field Theories},
  journal = {American Journal of Science, Engineering and Technology},
  volume = {4},
  number = {3},
  pages = {48-54},
  doi = {10.11648/j.ajset.20190403.12},
  url = {https://doi.org/10.11648/j.ajset.20190403.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajset.20190403.12},
  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.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - Magnetic Properties of Diluted Spinels MgxNi1−xFe2O4 Systems: Are Studied by Green’s Functions and Mean Field Theories
AU  - Abdellah El Grini
AU  - Said Salmi
AU  - Abdelouahid Azouaoui
AU  - Ahmed Hourmatallah
AU  - Khalid Bouslykhane
AU  - Mohamed Hamedoun
AU  - Najib Benzakour
Y1  - 2019/10/29
PY  - 2019
N1  - https://doi.org/10.11648/j.ajset.20190403.12
DO  - 10.11648/j.ajset.20190403.12
T2  - American Journal of Science, Engineering and Technology
JF  - American Journal of Science, Engineering and Technology
JO  - American Journal of Science, Engineering and Technology
SP  - 48
EP  - 54
PB  - Science Publishing Group
SN  - 2578-8353
UR  - https://doi.org/10.11648/j.ajset.20190403.12
AB  - 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.
VL  - 4
IS  - 3
ER  -

Copy | Download

Author Information

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

Download PDF

Sections

Plain Text BibTeX RIS

APA Style

Abdellah El Grini, Said Salmi, Abdelouahid Azouaoui, Ahmed Hourmatallah, Khalid Bouslykhane, et al. (2019). 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, 4(3), 48-54. https://doi.org/10.11648/j.ajset.20190403.12

Copy | Download

ACS Style

Abdellah El Grini; Said Salmi; Abdelouahid Azouaoui; Ahmed Hourmatallah; Khalid Bouslykhane, et al. Magnetic Properties of Diluted Spinels MgxNi1−xFe2O4 Systems: Are Studied by Green’s Functions and Mean Field Theories. Am. J. Sci. Eng. Technol. 2019, 4(3), 48-54. doi: 10.11648/j.ajset.20190403.12

Copy | Download

AMA Style

Abdellah El Grini, Said Salmi, Abdelouahid Azouaoui, Ahmed Hourmatallah, Khalid Bouslykhane, et al. Magnetic Properties of Diluted Spinels MgxNi1−xFe2O4 Systems: Are Studied by Green’s Functions and Mean Field Theories. Am J Sci Eng Technol. 2019;4(3):48-54. doi: 10.11648/j.ajset.20190403.12

Copy | Download

@article{10.11648/j.ajset.20190403.12,
  author = {Abdellah El Grini and Said Salmi and Abdelouahid Azouaoui and Ahmed Hourmatallah and Khalid Bouslykhane and Mohamed Hamedoun and Najib Benzakour},
  title = {Magnetic Properties of Diluted Spinels MgxNi1−xFe2O4 Systems: Are Studied by Green’s Functions and Mean Field Theories},
  journal = {American Journal of Science, Engineering and Technology},
  volume = {4},
  number = {3},
  pages = {48-54},
  doi = {10.11648/j.ajset.20190403.12},
  url = {https://doi.org/10.11648/j.ajset.20190403.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajset.20190403.12},
  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.},
 year = {2019}
}

Copy | Download

TY  - JOUR
T1  - Magnetic Properties of Diluted Spinels MgxNi1−xFe2O4 Systems: Are Studied by Green’s Functions and Mean Field Theories
AU  - Abdellah El Grini
AU  - Said Salmi
AU  - Abdelouahid Azouaoui
AU  - Ahmed Hourmatallah
AU  - Khalid Bouslykhane
AU  - Mohamed Hamedoun
AU  - Najib Benzakour
Y1  - 2019/10/29
PY  - 2019
N1  - https://doi.org/10.11648/j.ajset.20190403.12
DO  - 10.11648/j.ajset.20190403.12
T2  - American Journal of Science, Engineering and Technology
JF  - American Journal of Science, Engineering and Technology
JO  - American Journal of Science, Engineering and Technology
SP  - 48
EP  - 54
PB  - Science Publishing Group
SN  - 2578-8353
UR  - https://doi.org/10.11648/j.ajset.20190403.12
AB  - 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.
VL  - 4
IS  - 3
ER  -

Copy | Download