Effects of electron-electron interaction on the collinear indirect exchange coupling in graphene nanoflakes

Using the Hubbard model in the framework of the tight-binding formulation, we studied the effects of the electron-electron (e-e) interaction on the indirect magnetic exchange coupling between the magnetic impurities embedded in triangular graphene nanoflakes. The results show that the magnitude of the coupling enhances in the presence of the e-e interaction and Rashba spin-orbit interaction (RSOI). The RKKY coupling magnitude depends on the impurity positions in nanoflake and the size of the system, as well.