Perturbation theory of the mass enhancement for a polaron coupled to acoustic phonons

Abstract

We use both a perturbative Green's function analysis and standard perturbative quantum mechanics to calculate the decrease in energy and the effective mass for an electron interacting with acoustic phonons. The interaction is between the difference in lattice displacements for neighbouring ions, and the hopping amplitude for an electron between those two sites. The calculations are performed in one, two, and three dimensions, and comparisons are made with results from other electron-phonon models. We also compute the spectral function and quasiparticle residue, as a function of characteristic phonon frequency. There are strong indications that this model is always polaronic on one dimension, where an unusual relation between the effective mass and the quasiparticle residue is also found.

arXiv comment9 pages, 5 figures, submitted to PRB

References in corpus (6)

• Polarons and slow quantum phonons
• Momentum average approximation for models with boson-modulated hopping: Role of closed loops in the dynamical generation of a finite quasiparticle mass
• Ground state properties of the Holstein model near the adiabatic limit
• Mass Renormalization in the Su-Schrieffer-Heeger Model
• Dimensionality Effects on the Su-Schrieffer-Heeger Model
• Spectral Properties of the Su-Schrieffer-Heeger Model

Cited by in corpus (9)

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• The effect of dispersive optical phonons on the behaviour of a Holstein polaron
• Nonlocal optical conductivity of Fermi surface nesting materials
• Tkachenko polarons in vortex lattices
• BLF-SSH Polarons coupled to Acoustic Phonons in the Adiabatic limit
• Light bipolarons in a system of electrons coupled to dispersive optical phonons
• Spectral function of a bipolaron coupled to dispersive optical phonons
• Downfolding the Su-Schrieffer-Heeger model
• Diagrammatic quantum Monte Carlo study of an acoustic lattice polaron