The two-dimensional frustrated Heisenberg model was written in diagonalize form in the k space using the SU(2) Schwinger boson mean field theory.
The spin current operator and the Matsubara Green function were calculated to this model.
Using the Kubo formula, we determine the spin conductivity for this model.
We obtain a behavior of the AC spin conductivity tending to infinity in the DC limit showing a superconductor character for the spin transport in this limit.