NDLI: Magnetic Properties of Mg$_{ x }$Cu$_{1−x }$Cr$_{2}$O$_{4}$ Spinels are Studied by Different Theoretical Methods

Content Provider	Springer Nature Link
Author	Masrour, R. Elgrini, A. Hamedoun, M. Benyoussef, A. Hourmatallah, A. Benzakour, N. Bouslykhane, K. Mounkachi, O. Moussaoui, H. El
Copyright Year	2014
Abstract	The external magnetic field induced the reorientation of magnetization of a ferromagnetic (or antiferromagnetic) treated within the framework of many-body Green’s function theory by considering all components of the magnetization. We present a new method for the calculation of expectation values in terms of the eigenvalues and eigenvectors of the equations of motion matrix for the set of Green’s functions. Magnetization and magnetic susceptibility are investigated when an external magnetic field is applied in (x-z)-plane. The mean field theory is applied to calculate the nearest neighbour and the next-neighbour super-exchange J $_{1}$(Cr−Cr) and J $_{2}$(Cr−(Mg(Cu)−O)−Cr), respectively, for the Mg$_{ x }$Cu$_{1−x }$Cr$_{2}$O$_{4}$ in the range of 0 ≤ x ≤ 1. The intra-planar and the inter-planar interactions are deduced. The high-temperature series expansions (HTSEs) are derived for the magnetic susceptibility and two-spin correlation functions for a Heisenberg ferromagnetic model on the B-spinel lattice. The calculations are developed in the framework of the random-phase approximation (RPA). The magnetic-phase diagram is deduced. A spin-glass phase is predicted for intermediate range of concentration. The spin glass is obtained. The obtained results are comparable with those obtained by magnetic measurements. The critical exponents associated with the magnetic susceptibility (γ) and the correlation lengths (ν) have been deduced. The obtained values are comparable to those of 3D Heisenberg model.
Starting Page	2073
Ending Page	2082
Page Count	10
File Format	PDF
ISSN	15571939
Journal	Journal of Superconductivity and Novel Magnetism
Volume Number	27
Issue Number	9
e-ISSN	15571947
Language	English
Publisher	Springer US
Publisher Date	2014-05-21
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Spinels Heisenberg model Exchange interaction Green’s function Random-phase approximation HTSE MFT Strongly Correlated Systems, Superconductivity Magnetism, Magnetic Materials Condensed Matter Physics Characterization and Evaluation of Materials
Content Type	Text
Resource Type	Article
Subject	Electronic, Optical and Magnetic Materials Condensed Matter Physics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Cation Distribution and Magnetic Interactions in Zn-Substituted Fe(Cu)Fe$_{2}$O$_{4}$ Ferrites

Study of Magnetic Properties in Spinels Co$_{ x }$Zn$_{1−x }$Cr$_{2}$O$_{4}$ systems

Structural and Magnetic Properties of Co(Cr$_{1−y }$Al$_{ y }$)$_{2}$O$_{4}$ (y=0.0–0.2) Compounds

Effect of Cr-Doping on the Magnetic State of Er$_{0.55}$Sr$_{0.45}$Mn$_{1−x }$Cr$_{x}$O$_{3}$

New Perspectives for Cuprate Research: (Ca$_{ x }$La$_{1−x }$)(Ba$_{1.75−x }$La$_{0.25+x }$)Cu$_{3}$O$_{ y }$ Single Crystals

Multiferroic Properties of Zn$_{1−x }$Mg$_{ x }$O Nanoparticles

Superconducting Bands Stabilizing Superconductivity in YBa$_{2}$Cu$_{3}$O$_{7}$ and MgB$_{2}$

Anomalous Behavior in Y$_{1−x }$Pr$_{ x }$Ba$_{2}$Cu$_{3}$O$_{7−δ }$

Magnetic Properties of Mg$_{ x }$Mn$_{1−x }$Fe$_{2}$O$_{4}$ Nanoferrites

Magnetic Properties of Mg$_{ x }$Cu$_{1−x }$Cr$_{2}$O$_{4}$ Spinels are Studied by Different Theoretical Methods

Similar Documents

Cation Distribution and Magnetic Interactions in Zn-Substituted Fe(Cu)Fe$_{2}$O$_{4}$ Ferrites

Study of Magnetic Properties in Spinels Co$_{ x }$Zn$_{1−x }$Cr$_{2}$O$_{4}$ systems

Structural and Magnetic Properties of Co(Cr$_{1−y }$Al$_{ y }$)$_{2}$O$_{4}$ (y=0.0–0.2) Compounds

Effect of Cr-Doping on the Magnetic State of Er$_{0.55}$Sr$_{0.45}$Mn$_{1−x }$Cr$_{x}$O$_{3}$

New Perspectives for Cuprate Research: (Ca$_{ x }$La$_{1−x }$)(Ba$_{1.75−x }$La$_{0.25+x }$)Cu$_{3}$O$_{ y }$ Single Crystals

Multiferroic Properties of Zn$_{1−x }$Mg$_{ x }$O Nanoparticles

Superconducting Bands Stabilizing Superconductivity in YBa$_{2}$Cu$_{3}$O$_{7}$ and MgB$_{2}$

Anomalous Behavior in Y$_{1−x }$Pr$_{ x }$Ba$_{2}$Cu$_{3}$O$_{7−δ }$

Magnetic Properties of Mg$_{ x }$Mn$_{1−x }$Fe$_{2}$O$_{4}$ Nanoferrites

Magnetic Properties of Mg$_{ x }$Cu$_{1−x }$Cr$_{2}$O$_{4}$ Spinels are Studied by Different Theoretical Methods