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arXiv · 0704.2352

A 2D quantum antiferromagnet with a four-fold degenerate valence-bond-solid ground state

Alain Gellé·Andreas Läuchli·Brijesh Kumar·Frédéric Mila
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Abstract

We study the competition between antiferromagnetic order and valence bond solid formation in a two-dimensional frustrated spin-1/2 model. The J1-J2 model on the square lattice is further frustrated by introducing products of three-spin projectors which stabilize four dimer-product states as degenerate ground states. These four states are reminiscent of the dimerized singlet ground state of the Shastry-Sutherland model. Using exact diagonalizations, we study the evolution of the ground state by varying theratio of interactions. For a large range of parameters (J2 > 0.25J1), our model shows a direct transition between the valence-bond-solid phase and the collinear antiferromagnetic phase. For small values of J2, several intermediate phases appear which are also analyzed.

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Alain Gellé, Andreas Läuchli, Brijesh Kumar, Frédéric Mila. 2007-04-18. A 2D quantum antiferromagnet with a four-fold degenerate valence-bond-solid ground state. https://doi.org/10.1103/physrevb.77.014419

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