Electron localization by a magnetic vortex
R.M. Cavalcanti, E.S. Fraga, C.A.A. de Carvalho
TL;DR
This paper investigates how a magnetic vortex can trap electrons in two dimensions, analyzing bound states numerically and analytically for different electron parameters.
Contribution
It introduces a detailed numerical and analytical study of electron trapping by magnetic vortices with step-like profiles, highlighting the conditions for bound state formation.
Findings
Bound states depend on electron mass and gyromagnetic factor.
Numerical spectrum of bound states obtained.
Analytical solutions provided for limiting cases.
Abstract
We study the problem of an electron in two dimensions in the presence of a magnetic vortex with a step-like profile. Dependending on the values of the effective mass and gyromagnetic factor of the electron, it may be trapped by the vortex. The bound state spectrum is obtained numerically, and some limiting cases are treated analytically.
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