Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2001-09-21
Phys. Rev. B 64, 140402(R) (2001)
Physics
Condensed Matter
Disordered Systems and Neural Networks
5 pages, 3 figures
Scientific paper
10.1103/PhysRevB.64.140402
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 \not = 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 coupling 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.
Boechat Beatriz
Continentino Mucio A.
Rappoport Tatiana G.
Saguia Andreia
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