different numerical methods, in . In the same plot we report the crossover points estimated from the temperature evolution of the imaginary part of the self-energy $\Sigma_p$ (red crosses). The good agreement of these points with the extrapolated data validates the physical interpretation of the coherence temperature. It is unfortunately very hard to identify the functional form of the coherence temperature due to the smallness of the scale involved and the numerical uncertainties. However, the data are compatible with an exponential behavior of the form $T_\mathrm{coh}\simeq Be^{-A/\d}$, which has been obtained within the $1/N$ approximation in the infinite-$U$ Kondo limit[@burdin].

The phase diagram in the doping-temperature plane, presented in , can help us to summarize the scenario emerging from our calculations. The diagram reveals the character of the DMFT solution in proximity of the Mott insulating state through the behavior of the $\Im\Sigma_p(\iome\rightarrow0)$. Using finite temperature Lanczos ED method we investigated a smaller temperature scale with respect to that studied in Ref. . A large value of the $\Im\Sigma_p(\iome\rightarrow0)$ testifies a NFL behavior and the results clearly show that the highly incoherent state emerges from the Mott state and occupies a sizable region of the phase diagram. The NFL region 