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Based on a phenomenological model with $s_{\pm}$ or s-wave pairing symmetry,the mixed-state effect on the low-energy spin dynamics in optimally-doped ironpnictide superconductors is studied by solving Bogoliubov-de Gennes equations.Our results of the spin susceptibility at $\mathbf{q}=\mathbf{Q}$ in thenormal, superconducting and mixed states agree qualitatively with recentneutron scattering experiments. We also propose that the field-inducedintensity change shows different behaviors between the $s_{\pm}$ and s-wavesymmetries in both momentum and real space, thus it can be used to distinguishthese two pairing symmetries.

Mixed-State Effect on the Low-Energy Spin Dynamics in Optimally-doped Iron Pnictide Superconductors