The physical mechanisms responsible for the formation of a two-dimensional electron gas at the interface between insulating srTio 3 and LaAlo 3 have remained a contentious subject since its discovery in 2004. opinion is divided between an intrinsic mechanism involving the build-up of an internal electric potential due to the polar discontinuity at the interface between srTio 3 and LaAlo 3 , and extrinsic mechanisms attributed to structural imperfections. Here we show that interface conductivity is also exhibited when the LaAlo 3 layer is diluted with srTio 3 , and that the threshold thickness required to show conductivity scales inversely with the fraction of LaAlo 3 in this solid solution, and thereby also with the layer's formal polarization. These results can be best described in terms of the intrinsic polar-catastrophe model, hence providing the most compelling evidence, to date, in favour of this mechanism.