The effect of electron-electron interactions on the conditions of surface state existence

TL;DR

This study investigates how electron-electron interactions influence the existence of surface states in a one-dimensional two-band tight-binding model, revealing significant effects on surface state conditions through Green function analysis.

Contribution

It introduces a self-consistent method to account for electron-electron interactions in surface state analysis within a 1D two-band model.

Findings

Electron-electron interactions significantly alter surface state conditions.

Surface atom occupancy is affected by interactions.

LDOS varies notably near the surface compared to an infinite chain.

Abstract

Electronic surface states in one-dimensional two-band TBA model are studied by use of the Green function method. The local density of states (LDOS) at successive atoms in a semi-infinite chain, even in the case of atoms distant from the surface, is found to be clearly different from that observed in an unperturbed (infinite) chain. The surface atom occupancy is calculated self-consistently, with the effect of electron-electron interactions taken into account. The electron-electron interactions are shown to have a significant impact on the conditions of surface state existence.