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
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Cited by in corpus (10)
- Massless Dirac fermions in two dimensions: Confinement in nonuniform magnetic fields
- Magnetic quantum dots and rings in two dimensions
- Construction of zero energy states in graphene through the supersymmetry formalism
- Signatures of Wigner molecule formation in interacting Dirac fermion quantum dots
- Bound state in continuum like solutions in one-dimensional hetero-structures
- Scattering of a Dirac electron on a mass barrier
- Guided modes and terahertz transitions for two-dimensional Dirac fermions in a smooth double-well potential
- Trapping charge carriers in low-dimensional Dirac materials
- Scattering of massless Dirac fermions in circular p-n junctions with and without magnetic field
- Electronic properties of bilayer graphene with magnetic quantum structures studied using the Dirac equation