Hole dispersions in theG- andC-type orbital ordering backgrounds: Doped manganese oxides

Abstract

In the framework of the linear spin-wave theory and orbital-charge separation, we calculate quasiparticle (QP) dispersions for two different antiferromagnetic orbital structures in the fully saturated spin phase of manganese oxides. Although with the same orbital wave excitations, the QP bands of C- and G-type orbital structures exhibit completely different shapes. The pseudogap observed in the density of states and spectral functions around $\ensuremath{\omega}=0$ is related with the large antiferromagnetic orbital fluctuation. The minimal band energy for G-type is lower than that for C-type orbital order, while these band curves almost coincide in some momentum points. Larger energy splitting occurs between the two branches of ${k}_{z}=0$ and ${k}_{z}=\ensuremath{\pi}$ when increasing the superexchange coupling J, suggesting that the orbital scattering plays an essential role in the QP dispersions.