Electronic structure of spheroidal fullerenes in a weak uniform magnetic field: a continuum field-theory model

TL;DR

This paper investigates how a weak magnetic field affects the electronic energy spectrum of spheroidal fullerenes, revealing modifications in fine structure and hyperfine splitting, with exact solutions for zero-energy modes.

Contribution

It introduces a continuum field-theory model to analyze magnetic effects on deformed fullerenes, providing new analytical solutions for zero-energy states.

Findings

Magnetic field modifies the fine structure of electronic spectra.

Hyperfine splitting is influenced by external magnetic fields.

Exact solutions for zero-energy modes are derived.

Abstract

The effect of a weak uniform magnetic field on the electronic structure of slightly deformed fullerene molecules is studied within the continuum field-theory model. It is shown how the existing due to spheroidal deformation fine structure of the electronic energy spectrum modifies in the presence of the magnetic field. Hyperfine splitting of the energy-levels dictated by the topological defects is also influenced by the weak external magnetic field. Exact analytical solutions for zero-energy modes are found.