  We present an Ising-like intermediate phase for one-dimensional Kondo
insulator systems. Resulting from a spinon splitting, its low-energy
excitations are critical Ising modes, whereas the triplet sector has a spectral
gap. It should occur as long as the RKKY oscillation amplitude dominates over
any direct exchange between localized spins. The chiral fixed point, however,
becomes unstable in the far Infra-Red limit due to prevalent fluctuations among
localized spins which induce gapless triplet excitations in the spectrum. Based
on previous numerical results, we obtain a paramagnetic disordered state ruled
by the correlation length of the single impurity Kondo model.
