Pb. Allen et Vn. Kostur, POLARON DEFECTS IN A CHARGE-DENSITY-WAVE - A MODEL FOR LIGHTLY DOPED BABIO3, Zeitschrift fur Physik. B, Condensed matter, 104(4), 1997, pp. 613-618
A model for BaBiO3 was introduced by Rice and Sneddon, which treats th
is material as a simple three-dimensional version of a Peierls insulat
or, where the insulating gap is a consequence of the ordered distortio
n of the oxygen atoms. Charge accumulates on half the atoms and deplet
es from the other half. Experimentally, when holes are added to BaBiO3
by doping, it remains insulating until a very large hole concentratio
n is reached, at which point it becomes superconducting. In the Rice-S
neddon model, at large enough electron-phonon coupling, a mechanism fo
r insulating behavior of doped samples is formation of small polarons
or bipolarons which trap carriers in bound states in the Peierls gap.
A variational calculation of the polaron binding in this model is give
n, and compared with ''exact numerical results on large clusters with
periodic boundary conditions.