Vladimir N. Kostur

Polaron and bipolaron formation in a cubic perovskite lattice

The Rice-Sneddon model for BaBiO

Neutron-scattering profile of Q ≠ 0 phonons in BCS superconductors

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Electron-phonon interaction in two dimensions: Variation of Im[Sigma]([epsilon][sub [ital p]],[omega]) with increasing [omega][sub [ital D]]/[ital E][sub [ital F]]

offers a starting point for discussing polarons and bipolarons in a three-dimensional oxide crystal. We use exact diagonalization methods on finite samples to study the stability and properties of polarons and bipolarons. Because polarons, when they form, turn out to be very well localized, we are able to converge accurately our calculations for two-electron bipolaron wave functions, accounting for the Coulomb interaction without approximation. Some of our results are compared with and interpreted by reference to the variational method of Landau and Pekar. We calculate both electronic and vibrational excitations of the small polaron solutions, finding a single vibrational state localized with the full symmetry of the polaron, which has its energy significantly decreased at the onset of polaron formation. Both on-site (Hubbard) and long-range Coulomb repulsion are included in the bipolaron calculation, but due to the high degree of localization, the long-range part has only a small influence. For a reasonable on-site repulsion

Polaron and bipolaron defects in a charge density wave: A model for lightly doped BaBiO₃

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Topological doping of a three-dimensional Peierls system: Predicted structure of doped BaBiO₃

equal to two times the band width

Topological (Sliced) Doping of a 3D Peierls System: Predicted Structure of Doped BaBiO3

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SUPERCONDUCTING TC FOR A MODEL SPIN-FLUCTUATION SPECTRUM WITH FOUR SHARP PEAKS IN THE CORNERS OF THE BRILLOUIN ZONE

, bipolaron formation is significantly suppressed; there is a large window of electron-phonon coupling where the polaron is stable but the bipolaron decays into two polarons.