Spin-glass ordering in diluted magnetic semiconductors: A Monte Carlo study

We study the temperature-dilution phase diagram of a site-diluted Heisenber g antiferromagnet on a face-certered-cubic lattice, with and without the Dz yaloshinskii-Moriya anisotropic term, fixed to realistic microscopic parame ters for IIB1-xMnxTe(IIB= Cd,Hg,Zn). We show that the dipolar Dzyaloshinski i-Moriya anisotropy induces a finite-temperature phase transition to a spin -glass phase, at dilutions larger than 80%. The resulting probability distr ibution of the order parameter P(q) is similar to the one found in the cubi c lattice Edwards-Anderson-Ising model. The critical exponents undergo larg e finite-size corrections, but tend to values similar to the ones of the Ed wards-Anderson-Ising model.