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

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

2007-11-28

arxiv.org/abs/0711.4446v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 figures

Scientific paper

10.1103/PhysRevB.77.115423

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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