title: Graphene in inhomogeneous magnetic fields: bound, quasi-bound and scattering states.
abstract: The electron states in graphene-based magnetic dot and magnetic ring structures and combinations of both are investigated. The corresponding spectra are studied as a function of the radii, the strengths of the inhomogeneous magnetic field and of a uniform background field, the strength of an electrostatic barrier and the angular momentum quantum number. In the absence of an external magnetic field we have only long-lived quasi-bound and scattering states and we assess their influence on the density of states. In addition, we consider elastic electron scattering by a magnetic dot, whose average B vanishes, and show that the Hall and longitudinal resistivities, as a function of the Fermi energy, exhibit a pronounced oscillatory structure due to the presence of quasi-bound states. Depending on the dot parameters this oscillatory structure differs substantially for energies below and above the first Landau level.
authors.affiliation: Departement Fysica, Universiteit Antwerpen Groenenborgerlaan 171, B-2020 Antwerpen, Belgium. mrmphys@gmail.com
authors.forename: M
authors.initials: M
authors.lastname: Ramezani Masir
authors.forename: P
authors.initials: P
authors.lastname: Vasilopoulos
authors.forename: F M
authors.initials: FM
authors.lastname: Peeters