Green functions for a chain subjected to a uniformly varying field in the context of electron transmission

TL;DR

This paper derives Green functions for a biased chain with linearly varying on-site energies using tight-binding and Green function methods, analyzing their impact on electron transport.

Contribution

It introduces a method to calculate Green functions for a chain with linearly varying on-site energies within the tight-binding framework.

Findings

Green functions depend on system parameters

Analysis of electron transport through the biased chain

Potential applications in molecular electronics

Abstract

On the basis of the tight-binding formalism and Green function technique we obtain all the Green functions matrix elements for a biased chain with a linear variation of the electron on-site energy. Their dependence on the system parameters is analyzed in the context of through-molecule electron transport.