On the spectra of carbon nano-structures

TL;DR

This paper derives explicit dispersion relations and spectra for periodic Schrödinger operators on various carbon nano-structures, including graphene and single-wall nanotubes, providing foundational spectral analysis for these materials.

Contribution

It offers the first explicit derivation of spectra for Schrödinger operators on diverse carbon nano-structures, advancing theoretical understanding.

Findings

Explicit dispersion relations for graphene and nanotubes

Spectral properties characterized for various nano-structures

Foundation for future electronic property studies

Abstract

An explicit derivation of dispersion relations and spectra for periodic Schr\"{o}dinger operators on carbon nano-structures (including graphen and all types of single-wall nano-tubes) is provided.