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

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

doi:10.1103/physrevb.85.155135

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arXiv · 1202.6249

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

P. H. Y. Li·R. F. Bishop

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Abstract

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.

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P. H. Y. Li, R. F. Bishop. 2012-02-28. Complete phase diagram of the spin-1/2 $J_{1}$-$J_{2}$-$J_{3}$ model (with $J_{3}=J_{2}$) on the honeycomb lattice. https://doi.org/10.1103/physrevb.85.155135

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