Spin superconductivity in the frustrated two-dimensional antiferromagnet in the square lattice

We use the SU(2) Schwinger boson formalism to study the spin transport in the two-dimensional S=1/2 frustrated Heisenberg antiferromagnet in a square lattice, considering the second-neighbors interactions in the diagonal. We have obtained a spin superfluid behavior for the spin transport to this system similar to obtained recently to the triangular lattice. We consider an antiferromagnetic inter-chain coupling on the diagonal, J2>0, and the nearest-neighbor coupling antiferromagnetic J1>0. We also have in the critical temperature T0, where the correlation length ξ→0, that the system suffers a transition from an ordered ground state to a disordered ground state.