The influence of tunneling matrix elements modification due to on-site Coulomb interaction on local tunneling conductivity

TL;DR

This paper investigates how on-site Coulomb interactions modify tunneling matrix elements and affect local tunneling conductivity spectra, considering non-equilibrium electron filling effects using a self-consistent mean field approach.

Contribution

It reveals conditions under which Coulomb-induced modifications of tunneling amplitudes significantly influence tunneling spectra, highlighting the importance of non-equilibrium effects.

Findings

Modification of tunneling transfer amplitude depends on electron filling numbers.

Local tunneling conductivity spectra are affected by Coulomb interactions and energy level positions.

Non-equilibrium effects are crucial for accurate tunneling spectrum analysis.

Abstract

Interplay between changes of energy levels and tunneling amplitudes caused by localized electrons on-site Coulomb interaction depending on non-equilibrium electron filling numbers is analyzed. Specific features of local tunneling conductivity spectra for different positions of localized states energy relative to the Fermi level have been investigated by means of self-consistent mean field approximation in the presence of non-equilibrium effects. The conditions when modifications of tunneling transfer amplitude due to changes of electron filling numbers in the presence of on-site Coulomb interaction should be taken into account in tunneling conductivity spectra have been revealed.