One of the observed and reported phenomena in heterogeneous interfaces of perovskite oxides is the presence of a two dimensional electron gas (2DEG). In this study, the imperfect interface that is formed between LaLuO3 and SrTiO3 was studied. It was found using x ray diffraction pole figure that LaLuO3 is deposited on SrTiO3 in a two-domain structure with alternately charged layers parallel to the surface. First-principles calculations reveal that even though the lattices of the two materials do not match, an increase of the total potential is found at the interface between the two lattices. Due to this increased potential, electrons are drawn to the interface; since the interface is not perfectly epitaxial, 2DEG is not formed and instead semicontinuous 0D metallic segments probed by scanning tunneling microscopy and spectroscopy are spread along the interface on the LaLuO3 side.