  By using the arc-melting method, we successfully synthesized the compound
Sc$_{0.5}$Zr$_{0.5}$Co with the space group of $Pm$-$3m$. Both the resistivity
and magnetic susceptibility measurements reveal a phase transition at about 86
K. This transition might be attributed to the establishment of an
antiferromagnetic order. The magnetization hysteresis loop measurements in wide
temperature region show a weak ferromagnetic feature, which suggests a possible
canted arrangement of the magnetic moments. Bounded by the phase transition
temperature, the resistivity at ambient pressure shows a change from Fermi
liquid behavior to a super-linear behavior as temperature increases. By
applying pressures up to 32.1 GPa, the transition temperature does not show a
clear change and no superconductivity is observed above 2 K. The density
functional theory (DFT) calculations confirm the existence of the
antiferromagnetic order and reveal a gap between the spin-up and spin-down
$d$-orbital electrons. This kind of behavior may suggest that the
antiferromagnetic order in this compound originates from the localized
$d$-electrons which do not contribute to the conductance. Thus the itinerant
and localized $d$-orbital electrons in the compound are decoupled.
