The ternary intermetallic compounds, ${\mathit{R}\mathrm{Mn}}_6{\mathrm{Sn}}_6$ ($R$ = rare-earth or alkali or alkaline-earth metal) hosting Kagome bilayer of Mn, present a class of systems that naturally allows for the interplay of magnetism and topology. In search of ferromagnetic members in these systems, we show that dimensional reduction can be an effective means to achieve ferromagnetism and large anomalous Hall conductivity. Focusing on two specific members with $R$ = Lu and Mg, our first-principles calculations show that dimensional confinement through the construction of experimentally relevant atomistically thin single bilayer kagome geometry of Mn atoms gives rise to a ferromagnetic metal with multiple Weyl points along with spin-orbit-coupling induced gapped bands. The calculated anomalous Hall conductivity in the thin film geometry turns out to be 287 and $178{\mathrm{\Omega }}^{-1}{\mathrm{cm}}^{-1}$, comparable to that found for bulk ${\mathrm{RMn}}_6{\mathrm{Sn}}_6$ with alkali or alkaline-earth metal at $R$ site. This is of interest as thin-film geometry can be efficiently integrated to devices.

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• Anomalous Hall effect
• Electrical properties
• Ferromagnetism
• Topological materials
• Kagome metal