Analytical solution of electronic transport through a benzene molecule using lattice Green's functions

TL;DR

This paper derives analytical expressions for electronic transmittance through a benzene molecule using Green's function formalism, providing a basis for validating numerical methods in molecular electronics.

Contribution

It introduces an analytical approach to calculate electronic transport in benzene, extending from a simpler resonant level system to a complex molecular case.

Findings

Analytical expressions for benzene transmittance derived

Method validated against numerical approaches

Framework applicable to molecular electronics studies

Abstract

Using a Green's function formalism we derive analytical expressions for the electronic transmittance through a benzene ring. To motivate the approach we first solve the resonant level system and then extend the method to the benzene case. These results can be used to validate numerical methods.