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We present an argument for the existence of a geometry-induced phase transition in the ± J Ising model on an arbitrary lattice ( d ≥2) with asymmetric probability of ferromagnetic and antiferromagnetic bonds. This transition manifests itself as a vertical phase boundary separating, possibly, a ferromagnetic and a non-ferromagnetic (paramagnetic or spin glass) phases.
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Hidetoshi Nishimori (1986) studied this question.
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