Abstract
Spin wave excitations and the stability of the(0, π) ordered spin density wave (SDW) state are investigated within the minimal two-bandmodel for iron pnictides including a Hund’s coupling term. The SDW state is shown to bestable in two distinct doping regimes—for finite hole doping in the lower SDW band forsmall second-neighbour hoppings, and for low electron doping in the upper SDW band forcomparable first-neighbour and second-neighbour hoppings. In both cases, Hund’s couplingstrongly stabilizes the SDW state due to the generation of additional ferromagneticspin couplings involving the inter-orbital part of the particle–hole propagator.The spin wave energies for the two-band model are very similar to the one-bandt–t′ Hubbard model results obtained earlier, and are in agreement with the findings frominelastic neutron scattering studies of iron pnictides.
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