Spin superfluidity in the anisotropic XY model in the triangular lattice

We use the SU(3) Schwinger's boson theory to study the spin transport properties in the two-dimensional anisotropic frustrated Heisenberg model in the triangular lattice at T=0. We have investigated the behavior of the spin conductivity for this model which presents an single-ion anisotropy. We study the spin transport in the Bose-Einstein condensation regime where we have that the t(z) bosons are condensed and the following condition is valid: < t(z)> = < t(z)(dagger)> = t. Our results show a metallic spin transport for omega > 0 and a superfluid spin transport in the limit of DC conductivity, omega -> 0, where sigma(omega) tends to infinity in this limit of omega. (C) 2016 Elsevier Ltd. All rights reserved.