Spectral functions of the spinless Holstein model

Abstract

An analytical approach to the one-dimensional spinless Holstein model is proposed, which is valid at finite charge-carrier concentrations. Spectral functions of charge carriers are computed on the basis of self-energy calculations. A generalization of the Lang-Firsov canonical transformation method is shown to provide an interpolation scheme between the extreme weak- and strong-coupling cases. The transformation depends on a variationally determined parameterthat characterizes the charge distribution across the polaron volume. The relation between the spectral functions of polarons and electrons, the latter corresponding to the photoemission spectrum, is derived. Particular attention is paid to the distinction between the coherent and incoherent parts of the spectra, and their evolution as a function of band filling and model parameters. Results are discussed and compared with recent numerical calculations for the many-polaron problem.

20 pages, 15 figures, final version

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Cited by in corpus (14)

• Froehlich Polaron and Bipolaron: Recent Developments
• A unification of the Holstein polaron and dynamic disorder pictures of charge transport in organic semiconductors
• Finite-temperature density-matrix renormalization group method for electron-phonon systems: Thermodynamics and Holstein-polaron spectral functions
• Effect of Electron-Phonon Interaction Range for a Half-Filled Band in One Dimension
• Non-equilibrium transport through molecular junctions in the quantum regime
• Dynamic charge correlations near the Peierls transition
• Finite-temperature optical conductivity with density-matrix renormalization group methods for the Holstein polaron and bipolaron with dispersive phonons
• Phonon spectral function of the Holstein polaron
• Interplay of charge, spin and lattice degrees of freedom on the spectral properties of the one-dimensional Hubbard-Holstein model
• Phonon affected transport through molecular quantum dots
• Optical conductivity of polaronic charge carriers
• Transport through a vibrating quantum dot: Polaronic effects
• Thermal and quantum lattice fluctuations in Peierls chains
• Carrier-density effects in many-polaron systems