The effect of strong disorder on the one-dimensional Kondo necklace model is
studied using a perturbative real-space renormalization group approach which
becomes asymptotically exact in the low energy limit. The phase diagram of the
model presents a random quantum critical point separating two phases; the {\em
random singlet phase} of a quantum disordered XY chain and the random Kondo
phase. We also consider an anisotropic version of the model and show that it
maps on the strongly disordered transverse Ising model. The present results
provide a rigorous microscopic basis for non-Fermi liquid behavior in
disordered heavy fermions due to Griffiths phases.Comment: 4 pages, 4 figure
