1998/03/13 by F. Bentosela, F Bentosela, P. Exner +3 · 7 citations
Physics and Astronomy · #Current (fluid) #Electric current #Electron #Magnetic field #Magnetic flux #Magnetic properties of thin films #Physics of Superconductivity and Magnetism #Plane (geometry) #Quantum and electron transport phenomena #Trapping #Vortex #cond-mat
paper · pdf · doi:10.1088/0305-4470/31/17/001
published in Journal of Physics A Mathematical and General 31(17), L305-L311 (Institute of Physics) · A LaTeX file, 8 pages, to appear as a letter in J.Phys.A: Math.Gen
arxiv created 1998/03/13 · openalex publication_date 1998/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigate an electron in the plane interacting with the magnetic field due to an electric current forming a localized rotationally symmetric vortex. We show that independently of the vortex profile an electron with spin antiparallel to the magnetic field can be trapped if the vortex current is strong enough. In addition, the electron scattering on the vortex exhibits resonances for any spin orientation. On the other hand, in distinction to models with a localized flux tube this situation exhibits no bound states for weak vortices.