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

• We have analyzed the influence of site dilution in the critical properties.
• The site dilution generates a extinction in the long range order of the system.
• The long order extinguishes in the concentration x of nonmagnetic impurities x =0.15.
• We have verified the influence of the site dilution in the spin transport properties.

We study the influence of the site disorder in the long range order and in the spin transport in the two-dimensional 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 tz are condensed: 〈tz〉=〈tz†〉=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 Néel's phase, DDcD>Dc, in the spin conductivity. We find that the behavior of the long-range order for D