Emergent Spin Liquids in the Hubbard Model on the Anisotropic Honeycomb Lattice
arXiv:1006.4456 · doi:10.1209/0295-5075/95/47013
Abstract
We study the repulsive Hubbard model on an anisotropic honeycomb lattice within a mean-field and a slave-rotor treatment. In addition to the known semi-metallic and band-insulating phases, obtained for very weak interactions, and the anti-ferromagnetic phase at large couplings, various insulating spin-liquid phases develop at intermediate couplings. Whereas some of these spin liquids have gapless spinon excitations, a gapped one occupies a large region of the phase diagram and becomes the predominant phase for large hopping anisotropies. This phase can be understood in terms of weakly-coupled strongly dimerized states.
6 pages, 4 figures; free-energy analysis of the competing phases added; published version
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