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We investigate the fate of the orthorhombic stripe-type magnetic state(ordering vectors $\left(\pi,0\right)$/$\left(0,\pi\right)$), observed in mostiron-pnictide superconductors, in the presence of localized magnetic momentsthat tend to form a Neel state (ordering vector $\left(\pi,\pi\right)$). Weshow that before long-range Neel order sets in, the coupling between theconduction electrons and the fluctuations of the local moments favors anunusual magnetic state consisting of a coherent superposition of the$\left(\pi,0\right)$ and $\left(0,\pi\right)$ orders that preserves tetragonalsymmetry. The magnetization of this state is non-uniform and induces asimultaneous checkerboard charge order. We discuss signatures of this magneticconfiguration on the electronic spectrum and its impact on the superconductingstate, showing that its phase space for coexistence with the $s^{+-}$ state issmaller than the stripe-type state. Our results shed light on recentexperimental observations on $\mathrm{Ba(Fe_{1-x}Mn_{x})_{2}As_{2}}$ compounds,where the Neel-type local Mn moments interact with the Fe conduction electrons.

Impact of local-moment fluctuations on the magnetic degeneracy of iron arsenide superconductors