Phase diagram of the Holstein polaron in one dimension

Abstract

The behavior of the 1D Holstein polaron is described, with emphasis on lattice coarsening effects, by distinguishing between adiabatic and nonadiabatic contributions to the local correlations and dispersion properties. The original and unifying systematization of the crossovers between the different polaron behaviors, usually considered in the literature, is obtained in terms of quantum to classical, weak coupling to strong coupling, adiabatic to nonadiabatic, itinerant to self-trapped polarons and large to small polarons. It is argued that the relationship between various aspects of polaron states can be specified by five regimes: the weak-coupling regime, the regime of large adiabatic polarons, the regime of small adiabatic polarons, the regime of small nonadiabatic (Lang-Firsov) polarons, and the transitory regime of small pinned polarons for which the adiabatic and nonadiabatic contributions are inextricably mixed in the polaron dispersion properties. The crossovers between these five regimes are positioned in the parameter space of the Holstein Hamiltonian.

19 pages, 9 figures

References in corpus (10)

• Electron-phonon interaction and charge carrier mass enhancement in SrTiO3
• Green's function of a dressed particle
• The Green's Function of the Holstein Polaron
• Interplay between electron-phonon and Coulomb interactions in cuprates
• Quantum Monte Carlo and variational approaches to the Holstein model
• Fröhlich Polarons from 0D to 3D: Concepts and Recent Developments
• Spectral Properties of Holstein and Breathing Polarons
• Optical conductivity of polaronic charge carriers
• Relevant coherent states method for the quantum adiabatic dynamics of lattice-coupled charge carriers
• Quantum adiabatic polarons by translationally invariant perturbation theory

Cited by in corpus (9)

• Nonequilibrium dynamics of the Holstein polaron driven by external electric field
• Real-time decay of a highly excited charge carrier in the one-dimensional Holstein model
• Charge-density-wave melting in the one-dimensional Holstein model
• Quantum-entanglement aspects of polaron systems
• Emergence of states in the phonon spectral function of the Holstein polaron below and above the one-phonon continuum
• Finite-temperature optical conductivity with density-matrix renormalization group methods for the Holstein polaron and bipolaron with dispersive phonons
• Dynamical control of electron-phonon interactions with high-frequency light
• "Quantum bipolaron" superconductivity from quadratic electron-phonon coupling
• Importance of coupling strength in shaping electron energy loss and phonon spectra of phonon-plasmon systems