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We present results of specific heat, electrical resistance, andmagnetoresistivity measurements on single crystals of the heavy-fermionsuperconducting alloy Ce$_{0.91}$Yb$_{0.09}$CoIn$_5$. Non-Fermi liquid to Fermiliquid crossovers are clearly observed in the temperature dependence of theSommerfeld coefficient $\gamma$ and resistivity data. Furthermore, we show thatthe Yb-doped sample with $x=0.09$ exhibits universality due to an underlyingquantum phase transition without an applied magnetic field by utilizing thescaling analysis of $\gamma$. Fitting of the heat capacity and resistivity databased on existing theoretical models indicates that the zero-field quantumcritical point is of antiferromagnetic origin. Finally, we found that at zeromagnetic field the system undergoes a third-order phase transition at thetemperature $T_{c3}\approx 7$ K.

Zero-Field Quantum Critical Point in Ce$_{0.91}$Yb$_{0.09}$CoIn$_5$