F. Bentosela, P. Exner, V.A. Zagrebnov
Electron trapping by a current vortex
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ABSTRACT.  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 the present
situation exhibits no bound states for weak vortices.