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In $T$*-type cuprate oxides with five oxygen coordination, little is knownabout the relationship between the spin correlations and dope carriers. Weperformed $^{139}$La-nuclear magnetic resonance (NMR) and electricalresistivity measurements on an as-sintered (AS) and oxidation annealed (OA)polycrystalline $T$*-type La$_{0.86}$Eu$_{0.86}$S$_{0.28}$CuO$_4$ (LESCO) toinvestigate its magnetic and superconducting (SC) properties. Upon cooling, theNMR spectrum of AS LESCO broadened below 3 K, at which the nuclear spin-latticerelaxation rate $1/T_1$ against the temperature exhibited a maximum, therebyindicating the appearance of static magnetism. The temperature dependence of$1/T_1$ between 3 K and 20 K was similar to that of the resistivity displayingthe semiconducting behavior. Furthermore, the energy scale of the transport gapand spin-dynamics estimated was found to be comparable. These results suggest aclose connection between the mobility of the doped carriers and low-energyspin-dynamics, as reported for lightly doped $T$-type La$_{2-x}$Sr$_x$CuO$_4$.In the OA SC sample, we confirmed the absence of a magnetic order and theKorringa relation above 10 K. Therefore, in the $T$*-type LESCO with $x$ =0.28, the magnetic state coupled with holes drastically turns to the weaklycorrelated metallic state by oxidation annealing.

$^{139}$La-NMR study of spin-dynamics coupled with hole mobility in $T$*-type La$_{0.86}$Eu$_{0.86}$Sr$_{0.28}$CuO$_{4-\delta}$