Abstract
The high-temperature series expansion for the spin correlation functions of the A-spinel lattice has been derived. The development is extended to order 6 in β=1/ k B T with nearest-neighbour (nn) and next-nearest-neighbour (nnn) exchange couplings. The paramagnetic susceptibility and the correlation length are also given. The series is examined via the Padé approximants method and estimates for the transition temperature T N are obtained for various values of the ratio α= J 2/| J 1|. It is found that the variation of critical temperature is well represented by T( α)= T(0)[1+3.0725 α] for values of α in the range −0.2≤ α. T(0) is the critical temperature of the nn model. The approach is applied to the experimental results of the particular system A-spinel CoCo 2O 4. The following estimates are obtained for the familiar critical exponents: γ=1.382 and v=0.701.
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