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The newly discovered CaFe$_4$As$_3$ system displays low-temperature Fermiliquid behavior, with enhanced electron-electron correlations. At hightemperatures, the magnetic susceptibility shows Curie-Weiss behavior, with alarge temperature-independent contribution. Antiferromagnetic ordering isobserved 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 thesusceptibility, but no visible feature in the specific heat. The electronicspecific heat coefficient $\gamma$ at low temperatures is close to 0.02 Jmol$^{-1}_{Fe}$ K$^{-2}$, but a higher value for $\gamma$ ($\sim$0.08 Jmol$^{-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 largerthan that of heavy fermions.

Fermi liquid state and enhanced electron correlations in the new iron pnictide CaFe$_4$As$_3$