Transmission through a defect in polyacene: the extreme limit of ultra narrow graphene

TL;DR

This paper analyzes electron transmission through a defect in polyacene, deriving an analytical expression for the transmission coefficient, considering various defect types and symmetry conditions, relevant for ultra-narrow graphene structures.

Contribution

It provides an analytical solution for electron transmission in polyacene with localized defects, extending understanding of impurity effects in ultra-narrow graphene.

Findings

Analytical transmission coefficient derived for impurity in polyacene.

Transmission depends on defect type and symmetry conditions.

Framework applicable to multiple unit cells and different defect configurations.

Abstract

We compute the transmission of an electron through an impurity in polyacene. An analytical expression for the transmission coefficient is found. For simplicity the disorder is confined to a single unit cell, but the generalization to several unit cells is straightforward. Both on-site and off-diagonal defects are considered. When the impurity preserves the inversion symmetry around the central axis, the scattering problem can be reduced to that of two independent chains with an alternating sequence of two types of atoms.