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We show theoretically that the nuclear spin-lattice relaxation rate(T_1T)^{-1} and the spin susceptibility exhibit divergent behaviors toward zerotemperature at the quantum critical point (QCP) of the first-order valencetransition. Remarkable enhancement in (T_1T)^{-1} and the spin susceptibilityis induced by valence fluctuations even at the valence-crossover temperaturefar away from the QCP. This mechanism well explains peculiar behaviors observedrecently in YbAuCu_4 and also gives a systematic explanation for YbXCu_4 forX=In, Au, Ag, Tl, and Pd from the viewpoint of the closeness to the QCP. Thisalso explains anomalously enhanced Wilson ratio observed in the paramagnetic Ceand Yb based compounds. This offers a new concept that spin fluctuations areinduced via relative charge fluctuations, which can be generally applied to thesystems with valence instabilities.

Enhancement of Nuclear Spin-Lattice Relaxation Rate and Spin  Susceptibility due to Valence Fluctuations -Origin of Anomalously Enhanced  Wilson Ratio in Ce and Yb Systems-