A random-bond Ising model which exhibits ferromagnetic, antiferromagnetic and spin-glass transitions is studied using the n-replica method. A mean-field phase diagram is obtained for the model near the percolation threshold and it is found that only a small concentration of antiferromagnetic bonds is necessary to destroy ferromagnetism and lead to the formation of a spin-glass state. The fixed points corresponding to the different transitions are located and critical exponents calculated near six dimensions.
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Giri et al. (1978) studied this question.
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