01352nas a2200181 4500008003900000022001400039245011200053210006900165260001200234490000700246520069100253100002300944700001400967700001700981700001700998700001501015856014001030 2014 d a1550-235X00aCase study of the uniaxial anisotropic spin-1 bilinear-biquadratic Heisenberg model on a triangular lattice0 aCase study of the uniaxial anisotropic spin1 bilinearbiquadratic c10/20140 v903 aWe 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.1 aMoreno-Cardoner, M1 aPerrin, H1 aPaganelli, S1 aDe Chiara, G1 aSanpera, A uhttps://grupsderecerca.uab.cat/giq/publications/case-study-uniaxial-anisotropic-spin-1-bilinear-biquadratic-heisenberg-model-triangular01365nas a2200169 4500008003900000245006600039210006600105260001200171300001100183490000900194520081200203100002301015700001701038700001701055700001501072856010801087 2014 d00aEntanglement properties of spin models in triangular lattices0 aEntanglement properties of spin models in triangular lattices c10/2014 aP100080 v20143 aThe different quantum phases appearing in strongly correlated systems as well as their transitions are closely related to the entanglement shared between their constituents. In 1D systems, it is well established that the entanglement spectrum is linked to the symmetries that protect the different quantum phases. This relation extends even further at the phase transitions where a direct link associates the entanglement spectrum to the conformal field theory describing the former. For 2D systems much less is known. The lattice geometry becomes a crucial aspect to consider when studying entanglement and phase transitions. Here, we analyze the entanglement properties of triangular spin lattice models by also considering concepts borrowed from quantum information theory such as geometric entanglement.1 aMoreno-Cardoner, M1 aPaganelli, S1 aDe Chiara, G1 aSanpera, A uhttps://grupsderecerca.uab.cat/giq/publications/entanglement-properties-spin-models-triangular-lattices