A three-orbital itinerant-electron model involving d xz , d yz and d xy Fe 3d orbitals is proposed for iron pnictides towards understanding the ( , 0 π ) ordered magnetism and magnetic excitations in these materials. It is shown that this model at half filling yields a gapped ( , 0 π ) magnetic state, and simultaneously reproduces several experimentally observed features such as the electronic structure, spin excitations, as well as the ferro orbital order between the d xz and d yz orbitals.interaction strength U c for ( , 0 π ) ordering. However, spin wave dispersion in this model does not agree in detail with INS measurements [27,28]. Moreover, it does not include d xy Fe orbital which contributes some portions of the electron pockets. Similarly, three-orbital models with one-third filling (i.e. two electrons in three orbitals) [29], two-third filling (i.e. four electrons in three orbitals) [30,31], and four-orbital model at half-filling [32] can reproduce the desired FS structure, but spin wave excitations in these models have not been investigated yet. More realistic five-orbital models [33][34][35], which yield the FS topology similar to experimental findings, were proposed aimed at investigation of pairing instabilities, but spin excitations were not studied. Although anisotropic spin wave excitation was obtained in a recent study [36] for a five-orbital model [37], investigation of spin excitations over the entire BZ was not carried out.In this context, we present and investigate a three-orbital itinerant-electron model in this paper. We find that this minimal model simultaneously yields the correct FS structure as well as spin wave dispersion consistent with INS experiments. Moreover, ferro orbital order of appropriate sign is also obtained in this model.The organization of this paper is as follows. The importance of ferromagnetic (F) spin couplings on the experimentally measured spin wave dispersion in the ( , 0 π ) state is briefly discussed in section 2. Then in section 3, it is shown that no F spin coupling is generated in the two-band model with FS nesting [24] ,although this model yields correct FS topology. A third d xy Fe orbital is therefore necessary to overcome this shortcoming, and a three-orbital model having d xz , d yz and d xy Fe 3d orbitals is presented in section 4 highlighting the FS and DOS. The investigation of magnetic excitations and orbital ordering in the ( , 0 π ) magnetic state is carried out in section 5. Finally conclusions are discussed in section 6.
Spin wave energy at the ferromagnetic zone boundary and ferromagnetic spin couplingIn order to highlight the effect of induced F spin couplings on the spin wave dispersion and spin wave energy at the FZB, we consider the case of single band Hubbard model with nearest-neighbor (NN) hopping t and nextnearest-neighbor (NNN) hopping t′. In this case, the spin wave dispersion in the strong coupling limit [38] is given by ( ) J J J b q J J q q H U n n U J n n J J a a a a S S