Quasiparticle properties of a coupled quantum wire electron-phonon system

TL;DR

This paper investigates how longitudinal optical phonons influence the electronic quasiparticle properties in a one-dimensional quantum wire, considering many-body effects and interactions using the GW approximation.

Contribution

It introduces a comprehensive theoretical framework for analyzing electron-phonon and electron-electron interactions in 1D quantum wires within the GW approximation.

Findings

Electron-electron and electron-phonon effects are nonmultiplicative.

The theory accounts for Fermi statistics, Landau damping, and plasmon-phonon coupling.

Quasiparticle properties are significantly renormalized by many-body interactions.

Abstract

We study leading-order many-body effects of longitudinal optical (LO) phonons on electronic properties of one-dimensional quantum wire systems. We calculate the quasiparticle properties of a weakly polar one dimensional electron gas in the presence of both electron-phonon and electron-electron interactions. The leading-order dynamical screening approximation (GW approximation) is used to obtain the electron self-energy, the quasiparticle spectral function, and the quasiparticle damping rate in our calculation by treating electrons and phonons on an equal footing. Our theory includes effects (within the random phase approximation) of Fermi statistics, Landau damping, plasmon-phonon mode coupling, phonon renormalization, dynamical screening, and impurity scattering. In general, electron-electron and electron-phonon many-body renormalization effects are found to be nonmultiplicative and nonadditive in our theoretical results for quasiparticle properties.