Dispersion and lineshape of plasmon satellites in one, two and three dimensions

TL;DR

This paper uses advanced many-body Green's function calculations to analyze how electron-plasmon interactions influence the dispersion, lineshape, and linewidth of plasmon satellites across different dimensions.

Contribution

It introduces a connection between the GW plus cumulant approach and a many-body wavefunction picture, providing new insights into plasmon satellite formation.

Findings

Dispersion relations of plasmon satellites vary with dimensionality.

Lineshape and linewidth are linked to electron and plasmon properties.

Coupling-strength weighted joint-density states clarify satellite formation.

Abstract

Using state-of-the-art many-body Green's function calculations based on the "GW plus cumulant" approach, we analyze the properties of plasmon satellites in the electron spectral function resulting from electron-plasmon interactions in one-, two- and three-dimensional systems. Specifically, we show how their dispersion relation, lineshape and linewidth are related to the properties of the constituent electrons and plasmons. To gain insight into the many-body processes giving rise to the formation of plasmon satellites, we connect the "GW plus cumulant" approach to a many-body wavefunction picture of electron-plasmon interactions and introduce the coupling-strength weighted electron-plasmon joint-density states as a powerful concept for understanding plasmon satellites.