is separated from the coherent metal by a crossover taking place at $T_\mathrm{coh}$ defined above, which therefore confirms its meaning as the temperature in which the metal loses coherence.

![(Color online) Coherence temperature scale $T_\mathrm{coh}$ as extrapolated from the inverse local spin susceptibility $\chi^{-1}_\mathrm{loc}(T)$. The extrapolations from different numerical methods are found to be in satisfactory agreement. []{data-label="fig2.7"}](fig9.eps){width="45.00000%"}

Magnetic properties {#sec4}
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External magnetic field {#sec4.1}
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![(Color online) Phase-diagram of the PAM near the Mott insulating state as a function of temperature and hole-doping. The diagram is obtained from $\Im\Sigma_p(\iome\rightarrow0)$. The dotted line indicates the crossover temperature scale $T_\mathrm{coh}$. []{data-label="fig2.9"}](fig10.eps){width="50.00000%"}

We have shown that hole-doping the Mott insulating phase of the periodic Anderson model leads to peculiar charge carriers, so that the motion of the created $p$-holes occurs through the formation of Zhang-Rice singlets, in which the spins of the conduction electrons are anti-ferromagnetically correlated with the localized spins. As a consequence, we expect that a magnetic field can have important and surprising effects on this phase, showing a further difference with respect to a standard Fermi liquid.

In the model regime investigated in this work, the main source of magnetism comes from the $f$-electrons. The conduction band is 