Fock-Darwin States of Dirac Electrons in Graphene-Based Artificial Atoms

2006/11/17 by Hong-Yi Chen, Hong‐Yi Chen, Vadim M. Apalkov +2 · 1 citation
Materials Science · Physics and Astronomy · #Graphene research and applications #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.98.186803

4 pages and 3 figures

arxiv created 2006/11/17 · openalex publication_date 2007/05/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the Fock-Darwin states of the massless chiral fermions confined in a graphitic parabolic quantum dot. In light of Klein tunneling, we analyze 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 discussed. We also evaluate 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.

Citations

• Four-Electron Shell Structures and an Interacting Two-Electron System in Carbon-Nanotube Quantum Dots
• Magnetic Confinement of Massless Dirac Fermions in Graphene
• Shell Filling in Closed Single-Wall Carbon Nanotube Quantum Dots

Cited by

• Multiparticle equations for interacting Dirac fermions in magnetically confined graphene quantum dots