We propose a novel incommensurate spin state induced by the motion of doped
carriers in the one-dimensional double exchange model. The state has an en
ergy gap in the charge excitation caused by the 2k(F) instability and an in
commensurate structure in the localized spins with k(F) periodicity accompa
nied by continuous degeneracy. A metal-insulator transition is proposed in
an applied magnetic held. These electronic and magnetic properties are cons
istent with the experimental data in the hole doped one-dimensional nickela
te Y2-xCaxBaNiO5.