Polaron formation for a non-local electron-phonon coupling: A variational wave-function study

Abstract

We introduce a variational wave-function to study the polaron formation when the electronic transfer integral depends on the relative displacement between nearest-neighbor sites giving rise to a non-local electron-phonon coupling with optical phonon modes. We analyze the ground state properties such as the energy, the electron-lattice correlation function, the phonon number and the spectral weight. Variational results are found in good agreement with analytic weak-coupling perturbative calculations and exact numerical diagonalization of small clusters. We determine the polaronic phase diagram and we find that the tendency towards strong localization is hindered from the pathological sign change of the effective next-nearest-neighbor hopping.

arXiv comment11 pages

References in corpus (16)

• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
• The Holstein Polaron
• Density matrix renormalization group study of the polaron problem in the Holstein model
• Dynamical mean-field theory of the small polaron
• Continuous-Time Quantum Monte Carlo Algorithm for the Lattice Polaron
• Polaron band formation in the Holstein model
• Mixed lattice and electronic states in high-temperature superconductors
• Polaron Crossover and Bipolaronic Metal-Insulator Transition in the half- filled Holstein model
• Dynamical Properties of small Polarons
• Polaron Effective Mass, Band Distortion, and Self-Trapping in the Holstein Molecular Crystal Model
• Polarons in Carbon Nanotubes
• The small polaron crossover: comparison between exact results and vertex correction approximation
• A new variational approach for the Holstein Molecular Crystal Model
• Polaron features of the one-dimensional Holstein Molecular Crystal Model
• Mass Renormalization in the Su-Schrieffer-Heeger Model
• Path Integral Description of a Semiclassical Su-Schrieffer-Heeger Model

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