Conductivity and thermoelectric coefficients of doped SrTiO${}_3$ at high temperatures

Abstract

We developed a theory of electric and thermoelectric conductivity of lightly doped SrTiO${}_3$ in the non-degenerate region $k_{B}T\ge E_F$, assuming that the major source of electron scattering is their interaction with soft transverse optical phonons present due to proximity to ferroelectric transition. We have used kinetic equation approach within relaxation-time approximation and we have determined energy-dependent transport relaxation time $\tau (E)$ by the iterative procedure. Using electron effective mass $m$ and electron-transverse phonon coupling constant $\lambda$ as two fitting parameters, we are able to describe quantitatively a large set of the measured temperature dependences of resistivity $R(T)$ and Seebeck coefficient $\mathcal{S}(T)$ for a broad range of electron densities studied experimentally in recent paper [1]. In addition, we calculated Nernst ratio $\nu =N/B$ in the linear approximation over weak magnetic field in the same temperature range.

arXiv comment10 pages, 7 figures

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Cited by in corpus (8)

• On the origin and the amplitude of T-square resistivity in Fermi liquids
• Superconductivity from energy fluctuations in dilute quantum critical polar metals
• Phonon drag thermal Hall effect in metallic strontium titanate
• Polaron with Quadratic Electron-phonon Interaction
• T-square dependence of the electronic thermal resistivity in metallic strontium titanate
• Anisotropic resistivity and superconducting instability in ferroelectric metals
• Soliton States From Quadratic Electron-Phonon Interaction
• Phonon-mediated spin transport in quantum paraelectric metals