Polaron and bipolaron dispersion curves in one dimension for intermediate coupling

Abstract

Bipolaron energies are calculated as a function of wave vector by a variational method of Gurari appropriate for weak or intermediate coupling strengths, for a model with electron-phonon interactions independent of phonon wave vectors and a short-ranged Coulomb repulsion. It is assumed that the bare electrons have a constant effective mass. A two-parameter trial function is taken for the relative motion of the two electrons in the bipolaron. Energies of bipolarons are compared with those of two single polarons as a function of wave vector for various parameter values. Results for effective masses at the zone center are also obtained. Comparison is made with data of other authors for bipolarons in the Hubbard-Holstein model, which differs mainly from the present model in that it has a tight-binding band structure for the bare electrons.

arXiv comment11 pages including six figures. Physical Review B, to be published

References in corpus (18)

• Polarons and bipolarons in strongly interacting electron-phonon systems
• BCS-BEC crossover at finite temperature in the broken-symmetry phase
• Two-dimensional Hubbard-Holstein bipolaron
• Bipolarons in the Extended Holstein Hubbard Model
• Froehlich-Coulomb model of high-temperature superconductivity and charge segregation in the cuprates
• Lattice polaron formation: Effects of non-screened electron-phonon interaction
• Superlight small bipolarons in the presence of strong Coulomb repulsion
• Polaron Effective Mass, Band Distortion, and Self-Trapping in the Holstein Molecular Crystal Model
• Dynamical properties of the one-dimensional Holstein model
• Small Bipolarons in the 2-dimensional Holstein-Hubbard Model. I The Adiabatic Limit
• The Essential Interactions in Oxides and Spectral Weight Transfer in Doped Manganites
• Cooper pair dispersion relation for weak to strong coupling
• Numerical study of the $E\otimes e$ Jahn-Teller polaron and bipolaron
• Temperature- and quantum phonon effects on Holstein-Hubbard bipolarons
• Bipolaron Binding in Quantum Wires
• Single-particle spectral function of the Holstein-Hubbard bipolaron
• Linear to quadratic crossover of Cooper pair dispersion relation
• Polaron and bipolaron formation in the Hubbard-Holstein model: role of next-nearest neighbor electron hopping

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