Spin transport in the frustrated anisotropic three-dimensional XY model

We use the SU(3) Schwinger's boson theory to study the spin transport in the frustrated anisotropic three-dimensional XY model at T=0 with single ion anisotropy. We have investigated the behavior of the spin conductivity for this model that presents exchange interactions J1, J2 and J′. We study the spin transport in the Bose-Einstein regime where we have that the tz bosons are condensed i.e. 〈tz〉=〈tz†〉=t. Our results show a metallic spin transport for ω>0 and a superconductor spin transport in the limit of DC conductivity.