  Stanene, composed of tin atoms arranged in a single layer, is the tin
analogue of graphene and past studies predicted it to be a topological
insulator. An energy band gap (of $\sim 0.1$~eV) was obtained in previous
calculations for the buckled honeycomb structure of stanene and, thus,
phonon-mediated superconductivity in this material is ruled out. In this work
we investigated, from first principles calculations within density functional
theory (DFT), the possibility of producing phonon-mediated superconductivity in
stanene by doping the material. It was found that doping with calcium (lithium)
leads to superconductivity, albeit, with a very low superconducting transition
temperature $T_c$ of $\sim 0.7$~K ($\sim 1.3$~K), even lower than the value
($3.7$~K) for bulk $\beta$-Tin.
