Abstract
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; a random XY-like phase similar to a quantum disordered XY chain and the random Kondo phase. We also consider an anisotropic version of the model which for strong disorder maps on the random transverse field Ising model.