Abstract
The influence of the localized states generated by the H-vacancy defects and induced on the same side of the system, on the magnetic properties of the bilayer graphane flakes has been investigated using the quantum chemistry methods. We find that ferromagnetic ordering of spins of the localized states is destabilized by the addition of a second layer of graphane. This is due to leaking of the spin density of the localized states to the second layer that suppresses the interference of their spin density in the first layer where the states are generated. Moreover, the location of the localized states relating to the zigzag edges is found to be absolutely crucial in defining the stability of the alignment of their spins. For the states placed at the zigzag edges the stability is found to be large enough to produce stable ferromagnetism in bilayer systems.