Abstract
We present a model of impurity-induced magnetization of graphene assuming that the main source of graphene magnetization is related to impurity states with a localized spin. The analysis of solutions of the Schrödinger equation for electrons near the Dirac point has been performed using the model of massless fermions. For a single impurity, the solution of Schrödinger’s equation is a linear combination of Bessel functions. We found resonance energy levels of the non-magnetic impurity. The magnetic moment of impurity with a localized spin was accounted for the calculation of graphene magnetization using the Green’s function formalism. The spatial distribution of induced magnetization for a single impurity is obtained. The energy of resonance states was also calculated as a function of interaction. This energy is depending on the impurity potential and the coupling constant of interaction.
Highlights
One of the most interesting aspect of current reserch in graphene-based materials is to understand the magnetic properties in doped graphene
We focused on calculations of magnetization and resonant energy levels of the impurity located at the graphene lattice
The localized state solution of Schrödinger’s equation for a single non-magnetic dopant is found and the energy of this state is calculated. These results indicate the presence of some resonance levels depending on the impurity potential [5]
Summary
One of the most interesting aspect of current reserch in graphene-based materials is to understand the magnetic properties in doped graphene. Investigation of electron transport properties and structure of electron orbitals is one of the most important aspects of testing graphene for electronic purposes. From the point of view of spintronics applications, research is conducted to determine spin transport and spin polarization capabilities of graphene-based devices. Recent studies of the ferromagnetic properties of doped graphene at room temperatures indicate a great potential electronic application of this material. In parallel with experimental research, it is necessary to gain an in-depth understanding of the theoretical aspects underlying the unique properties of graphene. We focused on calculations of magnetization and resonant energy levels of the impurity located at the graphene lattice
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