Abstract
Based on a phenomenological model with ${s}_{\ifmmode\pm\else\textpm\fi{}}$ or $s$-wave pairing symmetry, the spatially resolved nuclear magnetic resonance (NMR) relaxation rate in the iron pnictides is investigated by solving Bogoliubov-de Gennes equations. Taking into account the presence of a magnetic field, our result for the $s\ifmmode\pm\else\textpm\fi{}$ pairing is in qualitative agreement with recent NMR experiments, while for the $s$-wave pairing, a coherence peak shows up right below ${T}_{c}$ in apparent contradiction with experimental observations, thus excluding the $s$-wave pairing. We also propose that the spin-lattice relaxation rate (SLRR) should follow an exponential relation when the temperature is lowered below $T/{T}_{c}\ensuremath{\approx}0.1$ down to $0.01$. It is noted that the SLRR cannot be entirely determined by the local density of states; the mixed-state effect and multiorbital physics must be considered.
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