Abstract
The nearest neighbour J 1 ( x ) and the next-neighbour super-exchange J 2 ( x ) interactions are evaluated by using the mean field theory for Mg 1 − x B x O ( B = Co and Ni) systems. The magnetic energy E ( x ) is obtained. A magnetic phase diagram of the Mg 1 − x B x O ( B = Co and Ni) solid solutions with 0 ⩽ x ⩽ 1 is drawn by high-temperature series expansions (HTSE) combined with the Padé approximants method (PA). The critical exponents associated with the magnetic susceptibility ( γ) and with the correlation length ( ν) are deduced in order phase.
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