Effects of electron-phonon coupling range on the polaron formation

Abstract

The polaron features due to electron-phonon interactions with different coupling ranges are investigated by adopting a variational approach. The ground-state energy, the spectral weight, the average kinetic energy, the mean number of phonons, and the electron-lattice correlation function are discussed for the system with coupling to local and nearest neighbor lattice displacements comparing the results with the long range case. For large values of the coupling with nearest neighbor sites, most physical quantities show a strong resemblance with those obtained for the long range electron-phonon interaction. Moreover, for intermediate values of interaction strength, the correlation function between electron and nearest neighbor lattice displacements is characterized by an upturn as function of the electron-phonon coupling constant.

5 pages and 4 figures

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Cited by in corpus (4)

• Froehlich Polaron and Bipolaron: Recent Developments
• Quantum-entanglement aspects of polaron systems
• Influence of phonon renormalization in Eliashberg theory for superconductivity in 2D and 3D systems
• Interplay between electron-electron and electron-vibration interactions on the thermoelectric properties of molecular junctions