Case study of the uniaxial anisotropic spin-1 bilinear-biquadratic Heisenberg model on a triangular lattice

M. Moreno-Cardoner*, H. Perrin, S. Paganelli, G. De Chiara, A. Sanpera

*Corresponding author for this work

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13 Citations (Scopus)


We study the spin-1 model on a triangular lattice in the presence of a uniaxial anisotropy field using a cluster mean-field (CMF) approach. The interplay among antiferromagnetic exchange, lattice geometry, and anisotropy forces Gutzwiller mean-field approaches to fail in a certain region of the phase diagram. There, the CMF method yields two supersolid phases compatible with those present in the spin-1/2 XXZ model onto which the spin-1 system maps. Between these two supersolid phases, the three-sublattice order is broken and the results of the CMF approach depend heavily on the geometry and size of the cluster. We discuss the possible presence of a spin liquid in this region.

Original languageEnglish
Article number144409
Number of pages7
JournalPhysical Review B (Condensed Matter)
Issue number14
Publication statusPublished - 06 Oct 2014



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