Quasi-bound states of quantum dots in single and bilayer graphene

Abstract

Dirac fermions interacting with a cylindrically symmetric quantum dot potential created in single and bilayer graphene are not confined but form quasi-bound states. The broadening of these quasi-bound states (i. e. the inverse of their lifetimes) decreases (increases) with the orbital momentum of the electron in the case of graphene (bilayer). Quasi-bound states with energy below (above) the barrier height are dominantly electron(hole)-like. 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.

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References in corpus (9)

• Electric Field Effect in Atomically Thin Carbon Films
• Chiral tunneling and the Klein paradox in graphene
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Unconventional Integer Quantum Hall effect in graphene
• Spin qubits in graphene quantum dots
• Veselago Lens for Electrons: Focusing and Caustics in Graphene p-n Junctions
• Quantum dots in graphene
• The Fock-Darwin States of Dirac Electrons in Graphene-based Artificial Atoms
• Measurement of the Tip-Induced Potential in Scanning Gate Experiments

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