Role of long-range coupling on the properties of single polarons in models with dual electron-phonon couplings

Abstract

We use the Variational Exact Diagonalization to investigate the single polaron properties for four different dual models, combining a short-range off-diagonal (Peierls) plus a longer-range diagonal (Holstein or breathing-mode) coupling. This allows us to investigate the sensitivity of various polaron properties both to the range of the diagonal coupling and to the specific diagonal coupling chosen. We find strong sensitivity to the range for all duals models as the adiabatic limit is approached, however considerable sensitivity is observed for some quantities even for large phonon frequencies. Also, the strong dependence of the results on the specific form of the diagonal coupling is observed everywhere in the parameter space. Taken together, these results suggest that careful consideration must be given to the specific coupling and its proper range when quantitative comparisons with experiments are sought.

arXiv comment9 pages, 12 figures, submitted to Physical Review B

References in corpus (21)

• The Holstein Polaron
• Anomalously Strong Near-Neighbor Attraction in Doped 1D Cuprate Chains
• Sharp transition for single polarons in the one-dimensional Su-Schrieffer-Heeger model
• Bipolarons in the Extended Holstein Hubbard Model
• Lattice polaron formation: Effects of non-screened electron-phonon interaction
• Phonon-Mediated Long-Range Attractive Interaction in One-Dimensional Cuprates
• Investigating polaron transitions with polar molecules
• Polarons and slow quantum phonons
• Boson-controlled quantum transport
• Momentum average approximation for models with boson-modulated hopping: Role of closed loops in the dynamical generation of a finite quasiparticle mass
• Ground state properties of the Holstein model near the adiabatic limit
• The polaron paradigm: a dual coupling effective band model
• Spectral Properties of Holstein and Breathing Polarons
• Peierls/Su-Schrieffer-Heeger polarons in two dimensions
• Single polaron properties of the breathing-mode Hamiltonian
• Bond-Peierls polaron: Moderate mass enhancement and current-carrying ground state
• Discontinuous polaron transition in a two-band model
• Peierls versus Holstein models for describing electron-phonon coupling in perovskites
• Interacting Holstein and extended-Holstein bipolarons
• A new self-consistent basis generation scheme for polaron and bipolaron systems
• Edwards polaron formation : From one to three dimension