Formation of localized magnetic states in silicene in an external electric field

Abstract

In the present work we study theoretically the localized behavior of transition metal adatoms and silicene interaction in an external electrical field. Considering the electron-electron interaction by adding a Hubbard term in the mean-field approximation, we obtain the spin-polarized density of states on the impurity and total density of states in terms of the hybridization strength with the sublattices and the external electric field, showing the possible values for the Hubbard parameter U and the Fermi energy μ at which magnetization arises. In particular, on-site impurities energies below and above the Dirac point are studied, where the magnetization shows a strong dependence on the hybridization parameters of the A and B sublattice with the impurity and a spin-flip transition for critical external electric fields. Finally, a comparison is done between silicene, germanene and stanene, showing no substantial difference when the on-site energy of the impurity is below the Dirac point.