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Monte Carlo Simulations of Doped, Diluted Magnetic Semiconductors - a System with Two Length Scales
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.Comment: 12 pages, latex, 7 figures; submitted to International Journal of
Modern Physics C, Proceedings of the U.S.-Japan Bilateral Seminar:
Understanding and Conquering Long Time Scales in Computer Simulation
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