Anomalous Dirac fermions in the presence of electric charge

Comments: 8 pages, 3 figures; v2: references updated, journal version

We study the effects of a magnetic field in the presence of a charged Dirac fermion. We investigate the spin-and-charge duality of quantum Dirac fermions with spin and charge. In the presence of electric charge, we obtain two new variables, the electric charge and spin-and-charge duality. We calculate the spin-charge duality parameters, and find that, in contrast to the Dirac fermionic case, the Dirac fermionic spin-charge duality parameter is proportional to the spin-charge duality parameter. We also calculate the spin-charge duality of Dirac fermions in the presence of electric charge and find that the Dirac system has two new parameters, the electric charge and spin-and-charge duality parameters. We also discuss the possible role of electric charge for the spin-charge duality parameter.