M. Takahashi et al., MULTIPLE-SCATTERING APPROACH TO THE S-F MODEL IN FERROMAGNETIC SEMICONDUCTORS ABOVE THE CURIE-TEMPERATURE, Physical review. B, Condensed matter, 52(23), 1995, pp. 16313-16316
For the s-f model in ferromagnetic semiconductors, it is necessary to
treat simultaneously multiple scattering on the same site and scatteri
ng due to f spin correlation between different sites. In this paper, o
ne-site multiple scattering is taken into account using a t-matrix for
malism, and the exchange scattering via f spin correlation between dif
ferent sites is treated using a two-spin correlation function and an a
ppropriate decoupling scheme. The results show good agreement with tho
se of the coherent potential approximation in the high-temperature lim
it. The calculated energy of the bottom of the band is reasonable, eve
n at the Curie temperature (T-c), for a wide range of IS/W, where W is
the bandwidth of the conduction band and IS is the exchange interacti
on energy.