Influence of dilution in the spin transport in the quantum anisotropic two-dimensional Heisenberg antiferromagnet

We study the influence of the site disorder in the long range order and in the spin transport in the twodimensional Heisenberg antiferromagnet with ion-single anisotropy, in the square lattice in T=0 using the SU(3) Schwinger boson theory. We analyze these properties in the regime of Bose-Einstein condensation, where the bosons t(z) are condensed: < t(z)> = < t(z)(dagger)> = t. In particular, we discuss the influence of the site disorder in the spin transport of this model and in the critical properties, where Dc separates Neel's phase, D < D-c, gapless phase, of the disordered phase, gapped phase, D > D-c, in the spin conductivity. We find that the behavior of the long-range order for D < D-c in the model without impurities with the concentration of nonmagnetic impurities does not affect the spin conductivity. (C) 2016 Elsevier B.V. All rights reserved.