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Abstract  In numerous diluted magnetic semiconductor (DMS) systems, the competition takes place between the short‐range antiferromagnetic (AF) superexchange interactions and the long‐range Ruderman–Kittel–Kasuya–Yosida (RKKY) coupling mediated by the charge carriers. Such a situation strongly influences the critical temperature, the maximization of which constitutes a challenging task in DMS physics and technology. The aim of the paper is to discuss theoretically the limiting effect of AF interactions between nearest‐neighbour (NN) magnetic ions on the stability of inhomogeneous ferromagnetic state in a model diluted magnetic system reflecting some crucial features of DMS. The modified molecular field‐based model is constructed to account for the magnetic inhomogeneity. The behaviour of the system is studied as a function of the ratio of superexchange integral to effective ferromagnetic coupling integral, including the possibility of clustering/anticlustering tendency for the magnetic ions. The ground state of the system is analyzed. The critical temperature is found to change non‐monotonically with the concentration of magnetic ions and decrease severely for larger concentrations. The behaviour of the system significantly differs from the predictions of the usual homogeneous mean‐field model. Brief comparison with selected experimental results for (Zn,Mn)Te is provided.

Nearest‐neighbour antiferromagnetic interaction as a limiting factor for critical temperature in a model DMS system