  In this study, considering the long-range interaction with an inverse-square
and its trigonometric and hyperbolic variants in SCM model we investigate
entanglement in (1/2,1) mixed-spin XY model. We also discuss the temperature
and magnetic field dependence of the thermal entanglement in this system for
different types of interaction. The numerical results show that, in the
presence of the long-range interactions, thermal entanglement between spins has
a rich behavior dependent upon the interaction strength, temperature and
magnetic field. Indeed we find that for less than a critical distance there are
entanglement plateaus dependent upon the distance between the spins, whereas
above the critical distance the entanglement can exhibit sudden death.
