Abstract
High temperature series expansions are derived for the magnetic susceptibility and two-spin correlation functions for a Heisenberg ferromagnetic model on the B-spinel lattice. The calculations are done in the framework of the random phase approximation and are given for both nearest and next-nearest neighbour exchange integrals J1 and J2, respectively. Our results are given up to order six in β = (kBT)–1 and are used to study the paramagnetic region of the ferromagnetic spinel CdCr2xIn2–2xS4. The critical temperature Tc and the critical exponents γ and ν associated with the magnetic susceptibility χ(T) and the correlation length ξ(T), respectively, are deduced by applying the Padé approximant methods. The results as a function of the dilution x obtained by the present approach are found to be in excellent agreement with the experimental ones and can be compared with other theoretical studies based on the 3D Heisenberg model.
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