Study of magnetic properties of Mn1−xCuxCr2S4 by: High-temperature series expansions

The high-temperature series expansions method applied in the systems Mn1−xCuxCr2S4 in the range 0⩽x⩽1. The exchange interactions and the magnetic exchange energies are calculated by using the probability law. The high-temperature series expansions have been applied in the spinel Mn1−xCuxCr2S4 systems, combined with the Padé approximants method, to determine the magnetic phase diagram, i.e. TC versus dilution x. The critical exponent associated with the magnetic susceptibility (γ) is deduced. The obtained value of γ is insensitive to the dilution ratio x and may be compared with other theoretical results based on 3D Heisenberg model.