Spin-Wave Relaxation in Diluted Magnetic Semiconductors within the Self-Consistent Green's Function Approach

We employ a self-consistent Green's function approach to investigate the spin-wave relaxation \Gamma(p) in diluted magnetic semiconductors. We find the trend of the spin-wave relaxation strongly depends on the ratio of the itinerant and impurity spin densities. For density ratios in the Ruderman-Kittel-Kasuya-Yosida phase, \Gamma(p) decreases even though thermal fluctuations increase. On the other hand, in the strong coupling phase, an interesting peak structure appears. We discuss the implications of our numerical results for experiments.