Abstract
The electronic structure and the electronic part of the electron-phonon coupling $\ensuremath{\lambda}$ is calculated for doped ${\mathrm{SrTiO}}_{3}$ and ${\mathrm{WO}}_{3}$ systems in the perovskite structure. Dilute doping is treated by supercells and the virtual crystal approximation. The long-range part of the coupling is found to be weakly screened for low doping, when the material is close to insulating. The low-$q$ part of $\ensuremath{\lambda}$ becomes large despite the low density of states. This is consistent with the appearance of superconductivity for dilute doping.
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