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Doped SrTiO3 becomes a metal at extremely low doping concentrations n and iseven superconducting with the superconducting transition temperature adopting adome-like shape with the carrier concentration. It is shown here within thepolarizability model that up to a well-defined carrier concentration transverseoptic mode softening takes place together with polar nano-domain formationwhich evidences inhomogeneity and a two-component type behavior withmetallicity coexisting with polarity. Beyond this region a conventional metalis formed where superconductivity as well as mode softening is absent. For thisregime the effective electron-phonon coupling follows the superconductingtransition temperature. Effusion measurements as well as macroscopic andnanoscopic conductivity measurements indicate that the distribution of oxygenvacancies is local and inhomogeneous from which it is concluded thatmetallicity stems from filaments which are embedded in a polar matrix as longas the carrier concentration is less than the critical one.

Unconventional co-existence of insulating nano-regions and conducting  filaments in reduced SrTiO3: mode softening, local piezoelectricity and  metallicity