Effect of local electronic tuning in CeCoIn$_{5}$

The relationship between quantum criticality ($QC$), non-Fermi-liquid ($nFl$) behavior and the emergence of unconventional superconductivity ($SC$) in the vicinity of an antiferromagnetic quantum critical point ($QCP$) is one of the important issues in strongly correlated electron physics. Here we report on the effect of electronic tuning on superconductivity and quantum criticality in CeCoIn$_{5}$ driven by electron (Pt and Sn) and hole doping (Hg). We show that both Pt and Sn doping have similar strong effect on superconductivity and push the system slightly away from the $QCP$. The sub-linear power law exponent, even at a high doping level (where the superconductivity is suppressed) could point to the formation of electronic inhomogeneity. Moreover, hole doping by Hg can tune the system back to the $QCP$ as demonstrated by an increase of $T_{c}$ (and subsequently the onset of AFM), a decrease of the coherence temperature $T^{*}$ and an increase of the power law coefficient $n$ stressing the importance of the interplay of electronic tuning and pair breaking effects.