Spectra of graphs and semi-conducting polymers

TL;DR

This paper explores the spectral properties of semi-conducting polymers using models linked to graph theory, providing insights into their electronic band gaps.

Contribution

It connects spectral graph theory with semi-conducting polymer models, offering a novel theoretical framework for understanding their electronic properties.

Findings

Relation between spectral graph theory and polymer band gaps

Application of Hückel and free electron models to polymers

Insights into electronic properties of semi-conducting polymers

Abstract

We study the band gap in some semi-conducting polymers with two models: H\"uckel molecular orbital theory and the so-called free electron model. The two models are directly related to spectral theory on combinatorial and metric graphs.