Role of disorder on the quantum critical point of a model for heavy fermions

T. G. Rappoport, A. Saguia, B. Boechat, M. A. Continentino
2001 Physical Review B (Condensed Matter)  
A zero temperature real space renormalization group (RG) approach is used to investigate the role of disorder near the quantum critical point (QCP) of a Kondo necklace (XY-KN) model. In the pure case this approach yields J_c=0 implying that any coupling J = 0 between the local moments and the conduction electrons leads to a non-magnetic phase. We also consider an anisotropic version of the model (X-KN), for which there is a quantum phase transition at a finite value of the ratio between the
more » ... ling and the bandwidth, (J/W). Disorder is introduced either in the on-site interactions or in the hopping terms. We find that in both cases randomness is irrelevant in the X-KN model, i.e., the disorder induced magnetic-non-magnetic quantum phase transition is controlled by the same exponents of the pure case. Finally, we show the fixed point distributions P_J(J/W) at the atractors of the disordered, non-magnetic phases.
doi:10.1103/physrevb.64.140402 fatcat:q2j4swu23zeerjfeteri77kqx4