Electron-phonon interaction at the Be(0001) surface

TL;DR

This study uses first-principles calculations to analyze the electron-phonon interaction at the Be(0001) surface, revealing temperature-dependent variations in the self-energy near the Fermi level that align with experimental data.

Contribution

It provides a detailed first-principles analysis of the electron-phonon self-energy at the Be(0001) surface, including temperature effects and comparison with experimental photoemission data.

Findings

Good agreement with photoemission data at various temperatures.

Strong temperature and energy dependence of the self-energy near the Fermi level.

Difficulty in measuring the self-energy derivative exactly at the Fermi level.

Abstract

We present a first principle study of the electron-phonon (e-p) interaction at the Be(0001) surface. The real and imaginary part of the e-p self energy are calculated for the surface state in the binding energy range from the $\bar{\Gamma}$ point to the Fermi level. Our calculation shows an overall good agreement with several photoemission data measured at high and low temperatures. Additionally, we show that the energy derivative of real part of the self-energy presents a strong temperature and energy variation close to $E_{F}$, making it difficult to measure its value just at $E_{F}$.