Is Electron an Anyon with Spin-1/2?

Abstract

It is argued that electron can be treated as an anyon which carries a charge (-e) and a magnetic flux $\pm \frac{\Phi_{0}}{2}$ in the presence and absence of a uniform external magnetic field. This flux is shown to arise due to the spin of the electron. The flux associated with the electron spin is calculated using a semi-classical model which is based on the magnetic top model. In accordance with spherical top model it is assumed that the spin angular momentum of the electron is produced by the fictitious point charge (-e) rotating in a circular orbit. It is shown that the flux through the circular orbit is independent of the radius and $\frac{\Phi_{0}}{2}$ for a spin down electron and -$\frac{\Phi_{0}}{2}$ for a spin up one. Where $\Phi_{0}=\frac{hc}{e}$ is the flux quantum.