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arXiv · 0907.0080

On the valence bond solid in the presence of Dzyaloshinskii-Moriya interaction

Chen-Nan Liao·Chyh-Hong Chern
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Abstract

We examine the stability of the valence bond solid (VBS) phase against the Dzyaloshinskii-Moriya (DM) interaction in the bipartite lattice. Despite the VBS is vulnerable against the antiferromagnetic interaction, for example in the Q-J model proposed by Sandvik, where the quantum phase transition occurs at $J^*/Q = 0.04$, we found that on the contrary the VBS is very stable against the DM interaction. The quantum phase transition does not occur until D/Q goes to infinity, where D is the strength of the DM interaction. The VBS in the ALKT model and the Haldane gap system also exhibit the same property.

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Chen-Nan Liao, Chyh-Hong Chern. 2009-07-01. On the valence bond solid in the presence of Dzyaloshinskii-Moriya interaction. https://doi.org/10.1016/j.jmmm.2010.09.007

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