A case study of spin-$1$ Heisenberg model in a triangular lattice
Abstract
We study the spin- model in a triangular lattice in presence of a uniaxial anisotropy field using a Cluster Mean-Field approach (CMF). The interplay between antiferromagnetic exchange, lattice geometry and anisotropy forces Gutzwiller mean-field approaches to fail in a certain region of the phase diagram. There, the CMF yields two supersolid (SS) phases compatible with those present in the spin- XXZ model onto which the spin- system maps. Between these two SS phases, the three-sublattice order is broken and the results of the CMF depend heavily on the geometry and size of the cluster. We discuss the possible presence of a spin liquid in this region.
Keywords
Cite
@article{arxiv.1402.4008,
title = {A case study of spin-$1$ Heisenberg model in a triangular lattice},
author = {M. Moreno-Cardoner and H. Perrin and S. Paganelli and G. De Chiara and A. Sanpera},
journal= {arXiv preprint arXiv:1402.4008},
year = {2015}
}
Comments
7 pages, 4 figures, RevTeX 4. The abstract and conclusions have been modified and the manuscript has been extended