Dimensional crossover in heavy fermions

Abstract

A one-parameter scaling, T coh, describes the physical behavior of several heavy fermions in a region of their phase diagram. We fully characterize this region, obtaining the uniform susceptibility, the resistivity and the specific heat. We evaluate the Wilson and the Kadowaki–Woods ratios in this regime. The theory of the one-parameter scaling corresponds to a zero-dimensional approach where spatial correlations are irrelevant but time fluctuations are critically correlated. The crossover from d=0 to d=3 occurs at a length scale inversely related to the stiffness of the lifetime of the spin fluctuations.