Photo-emission properties of quasi-one-dimensional conductors

TL;DR

This paper investigates the photo-emission properties of quasi-one-dimensional conductors by calculating the electron self-energy with Coulomb interactions, revealing broad spectral features without quasi-particle peaks, relevant to experiments and Luttinger liquid theory.

Contribution

It provides a detailed calculation of the electron spectral density considering Coulomb interactions and plasmon effects in quasi-one-dimensional conductors.

Findings

Spectral density shows a broad feature at plasmon frequency

No quasi-particle delta-peaks are observed

Results relate to experimental observations and Luttinger liquid theory

Abstract

We calculate the self-energy of one-dimensional electron band with the three-dimensional long range Coulomb interaction within the random phase approximation, paying particular attention to the contribution coming from the electron scatterings on the collective plasmon mode. It is shown that the spectral density has a form of wide feature at thr frequency scale of the plasmon frequency, without the presence of quasi-particle delta-peaks. The relevance of this result with respect to experimental findings and to the theory of Luttinger liquids is discussed.