Extraction of the Electron Self-Energy from Angle Resolved Photoemission Data: Application to Bi2212

TL;DR

This paper presents a method to directly extract the electron self-energy from angle-resolved photoemission spectroscopy data, providing insights into many-body interactions in high-temperature superconductors like Bi2212.

Contribution

The paper introduces a novel approach to determine the electron self-energy directly from experimental ARPES data under certain assumptions.

Findings

Successfully applied to Bi2212 in various phases

Reveals detailed self-energy behavior across phases

Enhances understanding of many-body effects in superconductors

Abstract

The self-energy $\Sigma({\bf k},\omega)$, the fundamental function which describes the effects of many-body interactions on an electron in a solid, is usually difficult to obtain directly from experimental data. In this paper, we show that by making certain reasonable assumptions, the self-energy can be directly determined from angle resolved photoemission data. We demonstrate this method on data for the high temperature superconductor $Bi_2Sr_2CaCu_2O_{8+x}$ (Bi2212) in the normal, superconducting, and pseudogap phases.