Microscopic mechanisms for the Fermi-liquid behavior of Nb-doped strontium titanate

Abstract

The relaxation rate in Nb-doped strontium titanate involving different scattering channels is investigated theoretically. It is demonstrated that the total relaxation rate in SrTiO_{3} is provided mainly by two mechanisms. The Baber electron-electron scattering with participation of both Coulomb and phonon-mediated electron-electron interactions provides the T^{2}-dependence of the relaxation rate. The scattering on the potential landscape caused by impurities is responsible for the residual relaxation rate at low temperatures. A good agreement with experiment is achieved accounting for all phonon branches in strontium titanate, both the optical and acoustic phonons. It is shown that the effective electron-electron interaction can be attractive in strontium titanate, and provides superconductivity at low temperatures and Fermi-liquid response in a wide range of temperatures. Thus our microscopic model supports the notion that superconductivity and Fermi-liquid properties of n-type SrTiO_{3} have a common origin.

arXiv comment22 pages, 6 figures, 1 table

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• Electron-phonon interaction and charge carrier mass enhancement in SrTiO3
• Common Fermi-liquid origin of T-squared resistivity and superconductivity in n-type SrTiO3
• Electrical transport in the ferromagnetic state of manganites: Small-polaron metallic conduction at low temperatures
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