The two-phonon pairing mechanism in SrTiO3 gives a small, monotonically doping-dependent Tc because the attraction is controlled by high-energy phonons, not the soft mode.
Metallicity and superconductivity in doped strontium titanate
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abstract
Strontium titanate is a wide-gap semiconductor avoiding a ferroelectric instability thanks to quantum fluctuations. This proximity leads to strong screening of static Coulomb interaction and paves the way for the emergence of a very dilute metal with extremely mobile carriers at liquid-helium temperature. Upon warming, mobility decreases by several orders of magnitude. Yet, metallicity persists above room temperature even when the apparent mean-free-path falls below the electron wavelength. The superconducting instability survives at exceptionally low concentrations and beyond the boundaries of Migdal-Eliashberg approximation. An intimate connection between dilute superconductivity and aborted ferroelectricity is widely suspected. In this review, we will give a brief account of ongoing research on bulk strontium titanate as an insulator, a metal and a superconductor.
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Two-phonon pairing and superconductivity in $SrTiO_3$
The two-phonon pairing mechanism in SrTiO3 gives a small, monotonically doping-dependent Tc because the attraction is controlled by high-energy phonons, not the soft mode.