Griffiths phases in the strongly disordered Kondo necklace model

Details Griffiths phases in the strongly disordered Kondo necklace model Griffiths phases in the strongly disordered Kondo necklace model

2001-11-07

arxiv.org/abs/cond-mat/0111123v1

Europhysics Letters 61 (6): 831-837 2003

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures

Scientific paper

10.1209/epl/i2003-00309-6

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.

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