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Nozi$\grave{e}$res' exhaustion theory argues the temperature for coherentlyscreening of all local moments in Kondo lattice could be much lower than thetemperature of single moment screening with insufficient number of conductionelectrons. Recent experiment [Luo et al, PNAS, 112,13520 (2015)] indicates thecerium based nickel pnictides $CeNi_{2-\delta}As_2 (\delta\approx0.28)$ withlow carrier density is an ideal material to exam such protracted Kondoscreening. Using the density functional theory and dynamical mean-field theory,we calculated the respective electronic structures of paramagnetic$CeNi_2As_2$/$CeNi_2P_2$. In contrast to structurally analogous layered ironpnictides, the electronic structures of the present systems show strongthree-dimensionality with substantially small contributions of Ni-3d electronsto the carrier density. Moreover, we find significant Kondo resonance peaks inthe compressed $CeNi_2As_2$ and $CeNi_2P_2$ at low temperatures, accompanied bytopological changes of the Fermi surfaces. We also find similar quantum phasetransition in $CeNi_2As_2$ driven by chemical pressure via the isovalenceAs$\rightarrow$P substitution.

Protracted Kondo coherence with dilute carrier density in Cerium based nickel pnictides