Many-body large polaron optical conductivity in SrTi${}_{1-x}$Nb${}_x$O${}_3$

Abstract

Recent experimental data on the optical conductivity of niobium doped SrTiO${}_3$ are interpreted in terms of a gas of large polarons with effective coupling constant ${\alpha }_{eff}\approx 2$. The {theoretical approach takes into account} many-body effects, the electron-phonon interaction with multiple LO-phonon branches, and the degeneracy and the anisotropy of the Ti t${}_{2g}$ conduction band. {Based on the Fröhlich interaction, the many-body large-polaron theory} provides an interpretation for the essential characteristics, except -- interestingly -- for the unexpectedly large intensity of a peak at $\sim 130$ meV, of the observed optical conductivity spectra of SrTi${}_{1-x}$Nb${}_x$O${}_3$ \textit{without} any adjustment of material parameters.

to appear in Phys. Rev. B

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