Dynamical Properties of small Polarons
arXiv:cond-mat/9703121 · doi:10.1103/PhysRevB.55.14872
Abstract
On the basis of the two-site polaron problem, which we solve by exact diagonalization, we analyse the spectral properties of polaronic systems in view of discerning localized from itinerant polarons and bound polaron pairs from an ensemble of single polarons. The corresponding experimental techniques for that concern photoemission and inverse photoemission spectroscopy. The evolution of the density of states as a function of concentration of charge carriers and strength of the electron-phonon interaction clearly shows the opening up of a gap between single polaronic and bi-polaronic states, in analogy to the Hubbard problem for strongly correlated electron systems. The crossover regime between adiabatic and anti-adiabatic small polarons is triggered by two characteristic time scales: the renormalized electron hopping rate and the renormalized vibrational frequency becoming equal. This crossover regime is then characterized by temporarily alternating self- localization and delocalization of the charge carriers which is accompanied by phase slips in the charge and molecular deformation oscillations and ultimately leads to a dephasing between these two dynamical components of the polaron problem. We visualize these features by a study of the temporal evolution of the charge redistribution and the change in molecular deformations. The spectral and dynamical properties of polarons discussed here are beyond the applicability of the standard Lang Firsov approach to the polaron problem.
31 pages and 23 figs.(eps), accepted in the Phys. Rev. B
Cited by in corpus (45)
- Froehlich Polaron and Bipolaron: Recent Developments
- The Green's Function of the Holstein Polaron
- Polaron dynamics with a multitude of Davydov D trial states
- The small polaron crossover: comparison between exact results and vertex correction approximation
- Polarons and slow quantum phonons
- Finite-temperature density-matrix renormalization group method for electron-phonon systems: Thermodynamics and Holstein-polaron spectral functions
- Many-body Green's function theory for electron-phonon interactions: the Kadanoff-Baym approach to spectral properties of the Holstein dimer
- Electron-phonon interaction in Strongly Correlated Systems
- Entropic uncertainty measure for fluctuations in two-level electron-phonon models
- Polaron formation for a non-local electron-phonon coupling: A variational wave-function study
- Translation-invariant bipolarons and the problem of high-temperature superconductivity
- Single polaron properties of the breathing-mode Hamiltonian
- Spectral and thermodynamic properties of the Holstein polaron: Hierarchical equations of motion approach
- Spatiotemporal evolution of polaronic states in finite quantum systems
- Many-body Green's function theory for electron-phonon interactions: ground state properties of the Holstein dimer
- Superconducting properties of a nonideal bipolaron gas
- Real-time non-adiabatic dynamics in the one-dimensional Holstein model: Trajectory-based vs exact methods
- Polaron features for long-range electron-phonon interaction
- Tunneling system coupled to phonon: an analytical treatment
- Charge transfer and coherence dynamics of tunnelling system coupled to a harmonic oscillator
- High-Pressure Phase Diagram in the Manganites: a Two-site Model Study
- From local to macroscopic coherence in systems with composite quasi-particles
- Two-site polaron problem: a perturbation approach with variational basis states
- Effects of electron-phonon coupling range on the polaron formation
- Electron-Phonon Correlations, Polaron Size, and the Nature of the Self-Trapping Transition
- Nonlocal interactions in doped cuprates: correlated motion of Zhang-Rice polarons
- Translational-invariant bipolarons and superconductivity
- Superconducting properties of 3D low-density TI-bipolaron gas
- Surface Polaron Formation in the Holstein model
- Holstein polaron in two and three dimensions by quantum Monte Carlo
- Resistivity Calculations for Cuprate Superconductor Systems using an Electronic Phase Separation
- Ground-state properties of the two-site Hubbard-Holstein model: an exact solution
- Chebyshev pseudosite matrix product state approach for the spectral functions of electron-phonon coupling systems
- Inhomogeneous dynamical mean field theory of the small polaron problem
- Orbital Effects of Strong Magnetic Field on a 2-D Holstein Polaron
- Polaron self-trapping in a honeycomb net
- Model for the dynamics of carrier injection in a band with polaronic states: Application to exciton dissociation in organic solar cells
- Resonant pairing isotope effect in polaronic systems
- Effect of different site energies on polaronic properties
- A density matrix approach to the dynamical properties of a two-site Holstein model
- Exciton dissociation in organic solar cells: An embedded charge transfer state model
- Franck-Condon Factors as Spectral Probes of Polaron Structure
- Non Metallic Transport in Molecular Solids versus Dimensionality
- Cumulant methods for electron-phonon problems. I. Perturbative expansions
- Dynamical local lattice instabilitiy triggered high tc superconductivity