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We explore the topological behavior of the binary Zintl phase of the alkalineearth metals based compounds Sr$_2$Pb and Sr$_2$Sn using both standard andhybrid density functional theory. It is found that Sr$_2$Pb lies on the vergeof a topological instability which can be suitably tuned through theapplication of a small uniaxial expansion strain ($>$ 3%). The resultingnon-trivial topologically insulating state display well-defined metallic statesin the Sr$_{2}$Pb(010) surface, whose evolution is studied as a function of thefilm thickness.

Strain driven onset of non-trivial topological insulating states in Zintl Sr$_2X$ compounds ($X$=Pb, Sn)