  The binary intermetallic materials, $M_3$Sn$_2$ ($M$ = 3d transition metal)
present a new class of strongly correlated systems that naturally allows for
the interplay of magnetism and metallicity. Using first principles calculations
we confirm that bulk Fe$_3$Sn$_2$ is a ferromagnetic metal, and show that $M$ =
Ni and Cu are paramagnetic metals with non-trivial band structures. Focusing on
Fe$_3$Sn$_2$ to understand the effect of enhanced correlations in an
experimentally relevant atomistically thin single kagome-bilayer, our ab-initio
results show that dimensional confinement naturally exposes the flatness of
band structure associated with the bilayer kagome geometry in a resultant
ferromagnetic Chern metal. We use a multistage minimal modeling of the magnetic
bands progressively closer to the Fermi energy. This effectively captures the
physics of the Chern metal with a non-zero anomalous Hall response over a
material relevant parameter regime along with a possible superconducting
instability of the spin-polarised band resulting in a topological
superconductor.

Strongly Correlated Electrons;Materials Science;Superconductivity