%0 Journal Article %T Monte Carlo Simulations of Doped, Diluted Magnetic Semiconductors - a System with Two Length Scales %A R. N. Bhatt %A Xin Wan %J Physics %D 1999 %I arXiv %R 10.1142/S0129183199001248 %X We describe a Monte Carlo simulation study of the magnetic phase diagram of diluted magnetic semiconductors doped with shallow impurities in the low concentration regime. We show that because of a wide distribution of interaction strengths, the system exhibits strong quantum effects in the magnetically ordered phase. A discrete spin model, found to closely approximate the quantum system, shows long relaxation times, and the need for specialized cluster algorithms for updating spin configurations. Results for a representative system are presented. %U http://arxiv.org/abs/cond-mat/9912395v1