Ferrimagnetic, antiferromagnetic and ferromagnetic properties in triangle multi-layer graphene nanoflake

Abstract

The electronic and magnetic properties of vertically stacked multilayer triangular graphene nano-flakes with zigzag edges are studied using the first nearest neighbor tight-binding model combined with a single π-orbital Hubbard model, and compared with density functional-based tight-binding calculations. Magnetic ordering in the ground state is layered dependence. AA-stacking with odd and even numbers of layers offers ferrimagnetic and antiferromagnetic ordering, respectively. While AB-stacking always displays ferromagnetic ordering. Besides, the spatial distribution of the states in AAA stackings determines two distinct edge states where the zero energy states in the tight-binding spectrum have no probability of being localized on the middle layer, while non-zero states are widespread in all three layers.