G. Khaliullin et V. Oudovenko, SPIN AND ORBITAL EXCITATION SPECTRUM IN THE KUGEL-KHOMSKII MODEL, Physical review. B, Condensed matter, 56(22), 1997, pp. 14243-14246
We discuss spin and orbital ordering in the twofold orbital degenerate
superexchange model in three dimensions relevant to perovskite transi
tion metal oxides. We focus on the particular point on the classical p
hase diagram where orbital degeneracy is lifted by quantum effects exc
lusively. Dispersion and damping of the spin and orbital excitations a
re calculated at this point taking into account their mutual interacti
on. Interaction corrections to the mean-field order parameters are fou
nd to be small. We conclude that quasi-one-dimensional Neel spin order
accompanied by the uniform d(3z2-r2)-type orbital ordering is stable
against quantum fluctuations.