Spheroidal geometry approach to fullerene molecules

TL;DR

This paper models deformed fullerene molecules using spheroidal geometry, analyzing how elliptic deformation affects electronic spectra through Dirac equation solutions with monopole flux.

Contribution

It introduces a spheroidal geometric approach to study elliptically deformed fullerenes and derives the resulting shifts in electronic spectra.

Findings

Electronic spectra shift due to spheroidal deformation

Derived spectra for both spherical and deformed fullerenes

Included monopole flux in the spectral analysis

Abstract

Graphite is an example of a layered material that can be bent to form fullerenes which promise important applications in electronic nanodevices. The spheroidal geometry of a slightly elliptically deformed sphere was used as a possible approach to fullerenes. We assumed that for a small deformation the eccentricity of the spheroid is smaller than one. We are interested here in the big elliptically deformed fullerenes.The low-lying electronic levels are described by the Dirac equation in (2+1) dimensions. We show how a small deformation of spherical geometry evokes a shift of the electronic spectra compared to the sphere. The flux of a monopole field was included inside the surface to describe the fullerenes. Both the electronic spectrum of spherical and the shift of spheroidal fullerenes were derived.