Peierls versus Holstein models for describing electron-phonon coupling in perovskites

Abstract

We use the Momentum Average approximation together with perturbative approaches, in the appropriate limits, to study the single polaron physics on a perovskite lattice inspired by BaBiO3. We investigate electron-phonon coupling of the Peierls type whereby the motion of ions modulates the values of the hopping integrals between sites, and show that it cannot be mapped onto the simpler one-band Holstein model in the whole parameter space. This is because the dispersion of the Peierls polaron has sharp transitions where the ground-state momentum jumps between high-symmetry points in the Brillouin zone, whereas the Holstein polaron always has the same ground-state momentum. These results imply that careful consideration is required to choose the appropriate model for carrier-lattice coupling in such complex lattices.

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Cited by in corpus (9)

• Facile ab initio approach for self-localized polarons from canonical transformations
• Beyond the single-site approximation modeling of electron-phonon coupling effects on resonant inelastic X-ray scattering spectra
• Domain-Wall Ferroelectric Polarons in a two-dimensional Rotor Lattice Model
• Strength of the Hubbard potential and its modification by breathing distortion in ${\text{BaBiO}}_3$
• Polaron catastrophe within quantum acoustics
• Spectral function of a bipolaron coupled to dispersive optical phonons
• Dressing due to correlations strongly reduces the effect of electron-phonon coupling
• Giant Kohn anomaly and chiral phonons in the charge density wave phase of 1H-NbSe${}_2$
• Role of long-range coupling on the properties of single polarons in models with dual electron-phonon couplings