  It have been demonstrated that the zigzag honeycomb nanoribbons exhibit an
intriguing edge magnetism. Here the effect of the anisotropy on the edge
magnetism in zigzag honeycomb nanoribbons is investigated by using two kinds of
large-scale quantum Monte Carlo simulations. The anisotropy in zigzag honeycomb
nanoribbons is characterized by the ratios of nearest-neighboring hopping
integrals $t_{1}$ in one direction and $t_{2}$ in another direction.
Considering the electron-electron correlation, it is shown that the edge
ferromagnetism could be enhanced greatly as $t_{2}/|t_{1}|$ increase from $1$
to $3$, which not only presenting the avenue for the control of this magnetism,
but also being useful for exploring further novel magnetism in new nano-scale
materials.
