The polaron-like nature of an electron coupled to phonons

Abstract

When an electron interacts with phonons, the electron can exhibit either free electron-like or polaron-like properties. The latter tends to occur for very strong coupling, and results in a phonon cloud accompanying the electron as it moves, thus raising its mass considerably. We summarize this behaviour for the Holstein model in one, two and three dimensions, and note that the crossover occurs for fairly low coupling strengths compared to those attributed to real materials exhibiting conventional superconductivity.

arXiv comment5 pages; contains a summary of single particle results for the Holstein model

References in corpus (5)

• The Holstein Polaron
• Evolution and Control of Oxygen Order in a Cuprate Superconductor
• Resonant and crossover phenomena in a multiband superconductor tuning the chemical potential near a band edge
• Superlight small bipolarons in the presence of strong Coulomb repulsion
• Self-organization of charged particles on a 2D lattice subject to anisotropic Jahn-Teller-type interaction and 3D Coulomb repulsion

Cited by in corpus (6)

• Eliashberg Theory: a short review
• Nonstandard superconductivity or no superconductivity in hydrides under high pressure
• Relative importance of nonlinear electron-phonon coupling and vertex corrections in the Holstein model
• Nonlocal optical conductivity of Fermi surface nesting materials
• The extended vs standard Holstein model; results in two and three dimensions
• The Effect of Next-Nearest Neighbour Hopping in the One, Two, and Three Dimensional Holstein Model