  The newly discovered CaFe$_4$As$_3$ system displays low-temperature Fermi
liquid behavior, with enhanced electron-electron correlations. At high
temperatures, the magnetic susceptibility shows Curie-Weiss behavior, with a
large temperature-independent contribution. Antiferromagnetic ordering is
observed below T$_N$ = (88.0 $\pm$ 1.0) K, possibly via a spin density wave
(SDW) transition. A remarkably sharp drop in resistivity occurs below T$_2$ =
(26.4 $\pm$ 1.0) K, correlated with a similarly abrupt increase in the
susceptibility, but no visible feature in the specific heat. The electronic
specific heat coefficient $\gamma$ at low temperatures is close to 0.02 J
mol$^{-1}_{Fe}$ K$^{-2}$, but a higher value for $\gamma$ ($\sim$0.08 J
mol$^{-1}_{Fe}$ K$^{-2}$ can be inferred from a linear C$ / $T \textit{vs.}
T$^2$ just above T$_2$. The Kadowaki-Woods ratio A$/\gamma^2$ = 55$*10^{-5}$
$\mu \Omega$cm mol$^2$ K$^2 $mJ$^{-2}$ is nearly two orders of magnitude larger
than that of heavy fermions.
