Quasibound states of quantum dots in single and bilayer graphene

2007/11/28 by A. Matulis, F. M. Peeters · 4 citations
Chemistry · Materials Science · Physics and Astronomy · #Bilayer #Bilayer graphene #Chemistry #Condensed matter physics #Electron #Graphene #Graphene research and applications #Physics #Quantum and electron transport phenomena #Quantum dot #Quantum mechanics #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.77.115423

8 figures

arxiv created 2007/11/28 · openalex publication_date 2008/03/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Dirac fermions interacting with a cylindrically symmetric quantum dot potential created in single and bilayer graphene are not confined but form quasibound states. The broadening of these quasibound states (i.e., the inverse of their lifetimes) decreases (increases) with the orbital momentum of the electron in the case of graphene (bilayer). Quasibound states with energy below (above) the barrier height are dominantly electronlike (holelike). A remarkable decrease of the energy level broadening is predicted for electron energies close to the barrier height, which are a consequence of the total internal reflection of the electronic wave at the dot edge.

Citations

• Quantum Dots in Graphene
• Unconventional quantum Hall effect and Berry’s phase of 2π in bilayer graphene
• Fock-Darwin States of Dirac Electrons in Graphene-Based Artificial Atoms
• The Focusing of Electron Flow and a Veselago Lens in Graphene p-n Junctions
• Electric Field Effect in Atomically Thin Carbon Films

Cited by

• Dot-bound and dispersive states in graphene quantum dot superlattices
• Electronic properties of graphene-based bilayer systems
• Berry phase jumps and giant nonreciprocity in Dirac quantum dots
• Electrostatic Confinement of Electrons in an Integrable Graphene Quantum Dot