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The quantum phase transition in the ground state of the Extended spin S=1/2XY model is studied in detail. Using the exact solution of the model the lowtemperature thermodynamics, as well as the ground state phase diagram of themodel in the presence of applied uniform and/or staggered magnetic field arediscussed.Comment: 12 pages, 12 figure

Phase diagram of the spin $ \mathsf {S=1/2}$ extended $ \mathsf {XY}$ model