Jm. Wesselinowa et At. Apostolov, SELF-CONSISTENT THEORY OF SPIN PHONON INTERACTIONS IN FERROMAGNETIC SEMICONDUCTORS, Journal of physics. Condensed matter, 5(22), 1993, pp. 3555-3564
A Green function technique is used to study the effects of spin-phonon
interactions in ferromagnetic semiconductors. The spin wave energy an
d the transverse damping for two different spin-phonon interaction mec
hanisms are evaluated for the first time beyond the RPA. The results a
re valid below and above T(c). The temperature dependence of these qua
ntities is discussed, and is found to be in agreement with the experim
ental data.