Phonon spectral function of the Holstein polaron

Abstract

The phonon spectral function of the one-dimensional Holstein model is obtained within weak and strong-coupling approximations based on analytical self-energy calculations. The characteristic excitations found in the limit of small charge-carrier density are related to the known (electronic) spectral properties of Holstein polarons such as the polaron band dispersion. Particular emphasis is laid on the different physics occurring in the adiabatic and anti-adiabatic regimes, respectively. Comparison is made with a cluster approach exploiting exact numerical results on small systems to yield an approximation for the thermodynamic limit. This method, similar to cluster perturbation theory, confirms the analytical findings, and yields accurate results also in the intermediate-coupling regime.

15 pages, 2 figures; revised and extended version

References in corpus (21)

• The Kernel Polynomial Method
• The spectral weight of the Hubbard model through cluster perturbation theory
• The Holstein Polaron
• Cluster Perturbation Theory for Hubbard models
• Gap formation and soft phonon mode in the Holstein model
• Lattice polaron formation: Effects of non-screened electron-phonon interaction
• Fermi surface induced lattice distortion in NbTe${}_2$
• Polaronic excitations in CMR manganite films
• Optical Absorption of an Interacting Many-Polaron Gas
• Spectral properties of the 2D Holstein polaron
• Dynamic response functions for the Holstein-Hubbard model
• Spectral function of electron-phonon models by cluster perturbation theory
• Large and Small Polaron Excitations in La2/3(Sr/Ca)1/3MnO3 Films
• Photoemission spectra of many-polaron systems
• Single-particle excitations and phonon softening in the one-dimensional spinless Holstein model
• Spectral signatures of the Luttinger liquid to charge-density-wave transition
• Phonon Effects on Spin-Charge Separation in One Dimension
• Phonon softening and dispersion in the 1D Holstein model of spinless fermions
• Many-Polaron Effects in the Holstein Model
• Spectral functions of the spinless Holstein model
• Analytical approach to the quantum-phase transition in the one-dimensional spinless Holstein model

Cited by in corpus (18)

• Finite-temperature density-matrix renormalization group method for electron-phonon systems: Thermodynamics and Holstein-polaron spectral functions
• Spectral and thermodynamic properties of the Holstein polaron: Hierarchical equations of motion approach
• Comparative Study of State-of-the-Art Matrix-Product-State Methods for Lattice Models with Large Local Hilbert Spaces
• Dynamic charge correlations near the Peierls transition
• Phonon spectral function of the one-dimensional Holstein-Hubbard model
• The effect of dispersive optical phonons on the behaviour of a Holstein polaron
• 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
• Polaron transformations in the realistic model of the strongly correlated electron system
• Phonon affected transport through molecular quantum dots
• Optical conductivity of polaronic charge carriers
• Diagrammatic content of the DMFT for the Holstein polaron problem in finite dimensions
• Chebyshev pseudosite matrix product state approach for the spectral functions of electron-phonon coupling systems
• A Langevin approach to lattice dynamics in a charge ordered polaronic system
• Strongly anharmonic collective modes in a coupled electron-phonon-spin problem
• Numerically "exact" charge transport dynamics in a dissipative electron-phonon model rationalizing the success of the transient localization scenario
• Carrier-density effects in many-polaron systems
• Ward identity preserving approach for investigation of phonon spectrum with self-energy and vertex corrections