Study of Magnetic Properties in the Vanadium Oxide Spinel Systems Li(subscript 1-x)Mg(subscript x)V2O4

R. Masrour ； M. Hamedoun ； A. Hourmatallah ； K. Bouslykhane ； N. Benzakour ； A. Benyoussef

《Chinese Journal of Physics》 46卷5期 (2008/10) Pp. 593-600

並列摘要

The magnetic properties of the spinel systems Li(subscript 1-x)Mg(subscript x)V2O4 have been studied using mean field theory, and the probability law, and high-temperature series expansions (HTSEs) in the range 0≤x≤1. The nearest neighbor J1 (x) and the next-nearest neighbor's super-exchange interaction J2 (x) were calculated using mean field theory in the range 0.95≤x≤1 with the probability law in the range of 0≤x≤1. The interplanar interactions are deduced. Thus the corresponding classical exchange energy for the magnetic structures is obtained. The HTSE method has been applied to the spinel systems Li(subscript 1-x)Mg(subscript x)V2O4, combined with the Pad´e approximants method, to determine the magnetic phase diagrams (T(subscript c) versus dilution x) in the range of 0≤x≤1. The theoretical results obtained are in agreement with the experimental ones obtained by magnetic measurements. The classical site percolation threshold obtained in this system is x(subscript p)≈0.2. The critical exponents associated with the magnetic susceptibility and with the correlation lengths are deduced for this system in the ordered phase.