From acene to graphene spectrum of $\pi$ electrons with the use of the Green's function

TL;DR

This paper derives exact Green's functions for acenes and graphene, elucidating the electronic spectra of $c ext{-}c$ electrons in coupled acene and graphene structures, aiding in understanding their electronic properties.

Contribution

It provides new exact Green's function expressions for acenes and graphene, facilitating detailed analysis of their electronic spectra.

Findings

Exact Green's functions for acenes and graphene are derived.

The spectral properties of coupled acenes and graphene are analyzed.

The results are useful for studying electronic properties of these macromolecules.

Abstract

Origin of the spectrum of $\pi$ electrons that results from coupling of $N$ $\cal N$-long acenes via C-C covalent bonding have been traced with the use of the Green function formalism. Exact expressions of acene and graphene Green's functions, which are useful for analysis of electronic properties of these macromolecules, are obtained and advanced to the form suitable for instructive applications.