Electron trapping by a current vortex

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.

A LaTeX file, 8 pages, to appear as a letter in J.Phys.A: Math.Gen

References in corpus (5)

• Aharonov-Bohm Effect with $\delta$--type Interaction
• Effects of gap anisotropy upon the electronic structure around a superconducting vortex
• The Single-Particle density of States, Bound States, Phase-Shift Flip, and a Resonance in the Presence of an Aharonov-Bohm Potential
• Topologically induced vortex magnetance of a quantum device
• Electron localization by a magnetic vortex

Cited by in corpus (5)

• Anomalous electron trapping by localized magnetic fields
• Magnetic strip waveguides
• Bound states of a spin-1/2 charged particle in a magnetic flux tube
• Anomalous Pauli electron states for magnetic fields with tails
• Weak coupling asymptotics for the Pauli operator in two dimensions