Study of Magnetic Phase Transition and Spin Frustration in Cobalt Aluminium Oxide Materials based on High Temperature Series Expansions Model

R. Masrour; M. Hamedoun

doi:10.1163/157361109789017023

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Multidiscipline Modeling in Materials and Structures

ISSN: 1573-6105

Online from: 2005

Subject Area: Mechanical & Materials Engineering

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Study of Magnetic Phase Transition and Spin Frustration in Cobalt Aluminium Oxide Materials based on High Temperature Series Expansions Model

Document Information:
Title:	Study of Magnetic Phase Transition and Spin Frustration in Cobalt Aluminium Oxide Materials based on High Temperature Series Expansions Model
Author(s):	R. Masrour, (Solid State Physics Laboratory, Sidi Mohammed Ben Abdellah University, Sciences Faculty, BP 1796, Fez, Morocco; LMPHE, Facultédes Sciences, Université Mohamed V, Rabat, Morocco), M. Hamedoun, (Solid State Physics Laboratory, Sidi Mohammed Ben Abdellah University, Sciences Faculty, BP 1796, Fez, Morocco; Expert Auprés de l’Académie Hassan II des Sciences et Techniques, Rabat, Morocco; Institute for Nanomaterials and Nanotechnologies, Rabat, Morocco)
Citation:	R. Masrour, M. Hamedoun, (2009) "Study of Magnetic Phase Transition and Spin Frustration in Cobalt Aluminium Oxide Materials based on High Temperature Series Expansions Model", Multidiscipline Modeling in Materials and Structures, Vol. 5 Iss: 3, pp.301 - 306
Keywords:	Critical exponents, Exchange integrals, High-temperature series expansions, Magnetic phase diagram, Magnetic properties,, Probability law
Article type:	General review
DOI:	10.1163/157361109789017023 (Permanent URL)
Publisher:	Emerald Group Publishing Limited
Abstract:	The magnetic properties of CoAl2-2xCo2xO4 for 0 = x = 1 are studied. The values of the nearest neighbour (J1), next-nearest neighbour (J2), intra-plane (Jaa) and inter-plane (Jab,Jac) exchange interactions are calculated by the mean field theory for ordered region and by the probability law adapted of the nature of dilution problem in A-spinel lattice in spin glass region. The high-temperature series expansions have been applied in the CoAl2-2xCo2xO4 systems, combined with the Padé approximants method, to determine the Néel temperature TN (K) or freezing temperature TSG (K) in the range 0 = x = 1. The critical exponents associated with the magnetic susceptibility (y) and the correlation lengths (v) are deduced in the range ordered 0.3 = x = 1. The obtained values of y and v are insensitive to the dilution ratio x and may be compared with other theoretical results based on 3D Heisenberg model.