Spin transport in the three-dimensional XY model with single-ion anisotropy

We analyze the effect of the critical behavior (line that separates the different phases in the graphic Dc vs. α, (α = J2∕J1)) on spin transport in the quantum three-dimensional anisotropic XY model at T = 0. We study the case of the cubic lattice with ion-single anisotropy, considering first neighbors interactions in-plane and out-plane which is an important lattice model of magnetism. We obtain a large variation of the peak of the AC spin conductivity in the range of large values of the critical ion-single anisotropy Dc, where the height of the single peak of the spin conductivity suffers a sudden variation in its height.