Polaron and bipolaron defects in a charge density wave: A model for lightly dopedBaBiO3

Abstract

${\mathrm{BaBiO}}_{3}$ is a prototype ``charge ordering system'' forming interpenetrating sublattices with nominal valence ${\mathrm{Bi}}^{3+}$ and ${\mathrm{Bi}}^{5+}.$ It can also be regarded as a three-dimensional version of a Peierls insulator, the insulating gap being a consequence of an ordered distortion of oxygen atoms. When holes are added to ${\mathrm{BaBiO}}_{3}$ by doping, it remains insulating until a very large hole concentration is reached, at which point it becomes superconducting. The mechanism for insulating behavior of more lightly doped samples is formation of small polarons or bipolarons. These are self-organized point defects in the Peierls order parameter, which trap carriers in bound states inside the Peierls gap. We calculate properties of the polarons and bipolarons using the Rice-Sneddon model. Bipolarons are the stable defect; the missing pair of electrons come from an empty midgap state built from the lower Peierls band. Each bipolaron distortion also pulls down six localized states below the bottom of the unoccupied upper Peierls band. The activation energy for bipolaron hopping is estimated.