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In the XXZ Heisenberg model with the single-ion uniaxial anisotropy D, the essential difference between magnetic properties of the integer and half-integer spin systems is generally shown to exist for positive D regardless of the spatial dimension by considering the large-D limit. The integer spin system has a lower limit of exchange coupling constant for the existence of long-range order and it has the quantum phase transition between the paramagnetic state and the ordered state at 0 K. In contrast, the half-integer spin system does not have such a critical exchange coupling constant and it always gives an ordered ground state for given parameters. For the spin-1 system in three dimensions, a qualitative phase diagram and characteristic behaviors of the spin susceptibility are explored by the mean-field approximation. Magnetic properties of LixV3(P2O7)3(PO4)2 at low temperatures with a pure spin-1 system for x = 9 and a mixed system of spin-1 and spin-1/2 for x < 9 are well described by the XXZ model with the anisotropy, and the experimental fact that the pure spin-1 system does not have a long-range order, whereas the mixed system exhibits the ferromagnetic order can be explained by the above difference for the spin value.
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