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We study magnetic properties of the 3-state spin (S i = 0 and ±1) spin glass (SG) van Hemmen model with ferromagnetic interaction J 0 under a random field (RF). The RF follows a bimodal distribution The combined effect of the crystal field D and the special type of on-site random interaction of the van Hemmen model engenders the unfolding of the SG phases for strong enough RF, i. e., instead of one SG phase, we found two SG phases. Moreover, as J 0 is finite, there is also the unfolding of the mixed phase (with the SG order parameter and the spontaneous magnetization simultaneously finite) in four distinct phases. The emergence of these new phases separated by first and second order line transitions produces a multiplication of triple and multicritical points.

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