Effect of the Higgs mode in the spin transport of a Heisenberg antiferromagnet on a square lattice

We study spin transport at zero temperature in the two-dimensional spin-one Heisenberg antiferromagnet on a square lattice with easy-plane single-ion anisotropy in the Néel phase. The regular part of the spin conductivity is calculated at zero temperature using the SU(3) Schwinger boson formalism and the Kubo theory. Three magnon processes provide the dominant contribution to the spin conductivity. We find evidence of the Higgs mode contribution to the spin conductivity.