Spin transport of the frustrated integer spin S antiferromagnetic Heisenberg chain

We study the effect of the nearest-neighbor (nn) and next-nearest-neighbor (nnn) interactions on spin transport in the quantum integer spin one-dimensional isotropic antiferromagnetic Heisenberg model. The Kubo formalism of the linear response theory is used to calculate the spin conductivity. We obtain the regular part of the spin conductivity, σreg(ω)σreg(ω), as function of the frequency at T=0 and obtain a strong effect of the (nnn) interaction on magnon transport.