  Calculations of the electronic and magnetic properties of the non-magnetic
metallic compound YFe$_2$Si$_2$ are reported. These show that at the density
functional level a magnetic state involving ordering along the $c$-axis. The
electronic structure is three dimensional, and is similar to that of the
unconventional superconductor YFe$_2$Ge$_2$ and as well as that of the high
pressure collapsed tetragonal phase of KFe$_2$As$_2$, which is also a
superconductor. Based on the results in relation to experiment, we infer that
properties of YFe$_2$Si$_2$ are strongly influenced by a nearby
antiferromagnetic quantum critical point.

Strongly Correlated Electrons