Wilson and Kadowaki-Woods ratios in heavy fermions

Recently we have shown that a one-parameter scaling, T-coh, describes the p hysical behavior of several heavy fermions in a region of their phase diagr am. In this paper we fully characterize this region, obtaining the uniform susceptibility, the resistivity and the specific heat in terms of the coher ence temperature T-coh.(.) This allows for an explicit evaluation of the Wi lson and the Kadowaki-Woods ratios in this regime. These quantities turn ou t to be independent of the distance \delta\ to the quantum critical point ( QCP). The theory of the one-parameter scaling corresponds to a local intera cting model. Although spatial correlations are irrelevant in this case, tim e fluctuations are critically correlated as a consequence of the quantum ch aracter of the transition.