Off-shell selfenergy for 1-D Fermi liquids

TL;DR

This paper presents a method to efficiently calculate the selfenergy in 1D Fermi liquids, revealing complex spectral features like pseudogaps and excitation splitting into holons and antiholons.

Contribution

It introduces a single-integral expression for the selfenergy in 1D Fermi liquids, enabling fast and precise calculations for various potentials.

Findings

Identification of a rich structure in the imaginary part of the selfenergy.

Observation of a pseudogap in the spectral function.

Detection of excitation splitting into holons and antiholons.

Abstract

The selfenergy in Born approximation including exchange of interacting one-dimensional systems is expressed in terms of a single integral about the potential which allows a fast and precise calculation for any potential analytically. The imaginary part of the self energy as damping of single-particle excitations shows a rich structure of different areas limited by single-particle and collective excitation lines. The corresponding spectral function reveals a pseudogap, a splitting of excitation into holons and antiholons as well as bound states.