Quasi-bound states of Schrodinger and Dirac electrons in magnetic quantum dot
arXiv:0907.3653 · doi:10.1103/PhysRevB.79.155451
Abstract
The properties of a two-dimensional electron are investigated in the presence of a circular step magnetic field profile. Both electrons with parabolic dispersion as well as Dirac electrons with linear dispersion are studied. We found that in such a magnetic quantum dot no electrons can be confined. Nevertheless close to the Landau levels quasi-bound states can exist with a rather long life time.
9 pages, 10 figures