Emergent Spin Liquids in the Hubbard Model on the Anisotropic Honeycomb Lattice

Details Emergent Spin Liquids in the Hubbard Model on the Anisotropic Honeycomb Lattice Emergent Spin Liquids in the Hubbard Model on the Anisotropic Honeycomb Lattice

2010-06-23

arxiv.org/abs/1006.4456v3

EPL 95, 47013 (2011)

Physics

Condensed Matter

Quantum Gases

6 pages, 4 figures; free-energy analysis of the competing phases added; published version

Scientific paper

10.1209/0295-5075/95/47013

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.

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