Single-particle spectral function of the Holstein-Hubbard bipolaron

Abstract

The one-electron spectral function of the Holstein-Hubbard bipolaron in one dimension is studied using cluster perturbation theory together with the Lanczos method. In contrast to other approaches, this allows one to calculate the spectrum at continuous wave vectors and thereby to study, for the first time, the dispersion and the spectral weight of quasiparticle features. The formation of polarons and bipolarons, and their manifestation in the spectral properties of the system, is studied for the cases of intermediate and large phonon frequencies, with and without Coulomb interaction. A good agreement is found with the most accurate calculations of the bipolaron dispersion available, over a large range of the electron-phonon coupling strength. Additionally, pronounced deviations of the bipolaron dispersion from a simple tight-binding band are found, which can be attributed to next-nearest-neighbor hopping processes.

12 pages, 6 figures; final version, to appear in Phys. Rev. B

References in corpus (10)

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Cited by in corpus (15)

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• Tailoring the nature and strength of electron-phonon interactions in the SrTiO${}_3$(001) two-dimensional electron liquid
• Electron-phonon interaction in Strongly Correlated Systems
• Dissociation of a Hubbard--Holstein bipolaron driven away from equilibrium by a constant electric field
• Electron-phonon coupling and spin-charge separation in one-dimensional Mott insulators
• Temperature- and quantum phonon effects on Holstein-Hubbard bipolarons
• Bipolarons from long range interactions: Singlet and triplet pairs in the screened Hubbard-Froehlich model on the chain
• Interacting Holstein and extended-Holstein bipolarons
• Spectral functions of the spinless Holstein model
• Light and stable triplet bipolarons on square and triangular lattices
• Localized polarons and doorway vibrons in finite quantum structures
• Single-particle spectral function of quarter-filled ladder systems
• Bipolaron formation in 1D-3D quantum dots: A lattice quantum Monte Carlo approach
• Bipolarons and polarons in the Holstein-Hubbard model: Analogies and differences
• Polaron and bipolaron dispersion curves in one dimension for intermediate coupling