Local moment formation in bilayer graphene

• We study adatom's magnetization in bilayer graphene (BLG) using the Anderson impurity model.
• The adatom's magnetizations on different sublattices, due to special low energy dependence of their density of states, are different.
• Due to spatially inhomogeneity of BLG's sublattices, the adatom's magnetization which is electrically controllable allows for high spintronics applications.

The local properties of bilayer graphene (BLG) due to the spatial inhomogeneity of its sublattices are of interest. We apply the Anderson impurity model to consider the local moment formation on a magnetic impurity which could be adsorbed on different sublattices of BLG. We find different features for the impurity magnetization when it is adsorbed A and B sublattices. The impurity adsorbed on A sublattice can magnetize even when the impurity level is above the Fermi level and the on-site coulomb energy is very small. But when the impurity is adsorbed on B sublattice the magnetization is possible for limited values of the impurity level and the on-site coulomb energy. This is due to different local density of the low energy states at A and B sublattices which originates from their spatial inhomogeneity. Also we show that electrical controlling of the magnetization of adatoms besides its inhomogeneity in BLG allows for possibility of using BLG in spintronics devices with higher possible application than SLG.