  Spin transport properties of the one-dimensional Heisenberg antiferromagnetic
spin systems for both $S=1/2$ and S=1 are studied by applying twisted boundary
magnetic field. The spin current displays significantly different behavior of
the spin transport properties between $S=1/2$ and S=1 cases. For the spin-half
case, a London equation for the current and the detection of an alternating
electric field are proposed for the linear response regime. The correlation
functions reveal the spiral nature of spin configuration for both ground state
and the spinon excitations. For the spin-one chain otherwise, a kink is
generated in the ground state for the size is larger than the correlation
length, leading to an exponential dependence of spin current with respect to
the chains length. The midgap state emerges from the degenerate ground state
even for small boundary fields.
