Structural Basis for the Conducting Interface betweenLaAlO3andSrTiO3

The complete atomic structure of a five-monolayer film of ${\mathrm{LaAlO}}_3$ on ${\mathrm{SrTiO}}_3$ has been determined for the first time by surface x-ray diffraction in conjunction with the coherent Bragg rod analysis phase-retrieval method and further structural refinement. Cationic mixing at the interface results in dilatory distortions and the formation of metallic ${\mathrm{La}}_{1-x}{\mathrm{Sr}}_x{\mathrm{TiO}}_3$. By invoking electrostatic potential minimization, the ratio of ${\mathrm{Ti}}^{4+}/{\mathrm{Ti}}^{3+}$ across the interface was determined, from which the lattice dilation could be quantitatively explained using ionic radii considerations. The correctness of this model is supported by density functional theory calculations. Thus, the formation of a quasi-two-dimensional electron gas in this system is explained, based on structural considerations.