Extinction of phase transition and spin transport on site diluted quantum two-dimensional antiferromagnet in Bose-Einstein condensation

We study the two-dimensional Heisenberg antiferromagnetic model with ion single anisotropy in the square lattice in the presence of nonmagnetic impurities at $T=0$ using the SU(3) Schwinger boson theory. In particular, we discuss the influence of site disorder on the quantum phase transition of this model at $D_{c}$ that separates the N\'eel phase, $DD_{c}$. We find that the long-range order in $D