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

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image of Multidiscipline Modeling in Materials and Structures

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 (γ) and the correlation lengths (ν) are deduced in the range ordered 0.3 ≤ x ≤ 1. The obtained values of γ and ν are insensitive to the dilution ratio x and may be compared with other theoretical results based on 3D Heisenberg model.

Affiliations: 1: Solid State Physics Laboratory, Sidi Mohammed Ben Abdellah University, Sciences Faculty, BP 1796, Fez, Morocco; LMPHE, Faculté des Sciences, Université Mohamed V, Rabat, Morocco; 2: Solid State Physics Laboratory, Sidi Mohammed Ben Abdellah University, Sciences Faculty, BP 1796, Fez, Morocco; Expert Auprès de l'Académie Hassan II des Sciences et Techniques, Rabat, Morocco; Institute for Nanomaterials and Nanotechnologies, Rabat, Morocco


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