Universal Class of Criticality of Diluted Strongly FrustratedSystems

Using Monte Carlo simulations, We study the universal classes of criticality associated to the superlattices Cd_dMn_1-dTe/CdTe and the spinels Zn_dCd_1-dCr₂SSe₄. Both systems are diluted frustrated antiferromagnets. The ratio d of dilution or substitution is found to be of great influence on the nature of criticality. The effect of dimensionality in spin glass transitions is also investigated.