1202.6249 (P. H. Y. Li et al.)

Complete phase diagram of the spin-1/2 $J_{1}$-$J_{2}$-$J_{3}$ model
(with $J_{3}=J_{2}$) on the honeycomb lattice    [PDF]

P. H. Y. Li, R. F. Bishop

We use the coupled cluster method to investigate the ground-state (GS) properties of the frustrated spin-1/2 $J_{1}$-$J_{2}$-$J_{3}$ model on the honeycomb lattice, with nearest-neighbor exchange coupling $J_1$ plus next-nearest-neighbor ($J_2$) and next-next-nearest-neighbor ($J_3$) exchanges of equal strength. In particular we find a direct first-order phase transition between the N\'eel-ordered antiferromagnetic phase and the ferromagnetic phase at a value $J_{2}/J_{1} = -1.17 \pm 0.01$ when $J_{1}>0$, compared to the corresponding classical value of -1. We find no evidence for any intermediate phase. From this and our previous CCM studies of the model we present its full zero-temperature GS phase diagram.

View original: http://arxiv.org/abs/1202.6249