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Using ion-implanted $^8$Li $\beta$-detected NMR, we study the evolution ofthe correlated metallic state of LaNiO$_3$ in a series of LaNiO$_3$/LaAlO$_3$superlattices as a function of bilayer thickness. Spin-lattice relaxationmeasurements in an applied field of 6.55 T reveal two equal amplitudecomponents: one with metallic ($T$-linear) $1/T_{1}$, and a second with a morecomplex $T$-dependence. The metallic character of the slow relaxing componentis only weakly affected by the LaNiO$_3$ thickness, while the fast component ismuch more sensitive, exhibiting the opposite temperature dependence (increasingtowards low $T$) in the thinnest, most magnetic samples. The origin of thisbipartite relaxation is discussed.

Evolution of the metallic state of LaNiO$_3$/LaAlO$_3$ superlattices measured by $^8$Li $\beta$-detected NMR