Anisotropic-exchange magnets on a triangular lattice: dual spin liquids*

We establish a correspondence of the anisotropic-exchange model to an extended Kitaev-Heisenberg model. With the help of Klein dualities, deeper connections between different parts of the parameter space are established. Using these insights, we have performed DMRG studies of the quantum S=1/2 anisotropic-exchange model in previously unexplored parts of the phase diagram. The most important implication of the correspondence is that it necessitates an existence of a spin liquid that is Klein dual to the spin liquid found by us earlier. In our present DMRG study, we do confirm existence of this dual spin-liquid phase. With the structure factor S(q), we also confirm that the dual spin liquid can be seen as a result of a melting of the dual 120^○ phase, same way as the earlier spin liquid is a molten 120^○ phase. The confirmation of the dual spin liquid strengthens our case for both of them.