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Ground-state and finite-temperature phase diagrams of a geometricallyfrustrated spin-1/2 Ising-Heisenberg model on a triangle-hexagon lattice areinvestigated within the generalized star-triangle mapping transformation. It isshown that the ground state is constituted by two different spontaneouslylong-range ordered phases and one disordered spin-liquid phase.

Phase Diagrams of the Spin-1/2 Ising-Heisenberg Model on a Triangle-Hexagon Lattice