The Fock-Darwin States of Dirac Electrons in Graphene-based Artificial Atoms

TL;DR

This paper explores the energy states of massless Dirac electrons in graphene quantum dots, analyzing confinement conditions, energy level features, and how dipole transitions can reveal band parameters in high magnetic fields.

Contribution

It provides a detailed analysis of Fock-Darwin states for Dirac electrons in graphene quantum dots, including confinement conditions and transition evaluations, which are novel in this context.

Findings

Identification of confinement conditions for Dirac fermions

Characterization of unique energy level features

Method to determine band parameters from dipole transitions

Abstract

We have investigated the Fock-Darwin states of the massless chiral fermions confined in a graphitic parabolic quantum dot. In the light of the Klein tunneling, we have analyzed the condition for confinement of the Dirac fermions in a cylindrically-symmetric potential. New features of the energy levels of the Dirac electrons as compared to the conventional electronic systems are dicussed. We have also evaluated the dipole-allowed transitions in the energy levels of the dots. We propose that in the high magnetic field limit, the band parameters can be accurately determined from the dipole-allowed transitions.