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Regensburg 2013 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 48: Correlated Electrons: Quantum-Critical Phenomena - Theory

TT 48.4: Vortrag

Mittwoch, 13. März 2013, 17:45–18:00, H19

Kondo breakdown in RKKY-coupled two- and multi-impurity Kondo systems — •Ammar Nejati, Katinka Ballmann, and Johann Kroha — Universität Bonn

The driving mechanisms for magnetic quantum phase transitions in different heavy fermion systems have remained obscure. One difficulty is the lack of theoretical methods for treating a possible breakdown of Kondo screening and of heavy quasiparticles without invoking magnetic order. We consider a dense system of Kondo impurities and develop a novel renormalization group technique for the local Kondo coupling Ji on a given impurity site i. At the one-loop level, the β function for Ji includes RKKY corrections due to the coupling to the surrounding impurities ji, which arises in order O(JiJj) from the local couplings Ji and Jj. In this way, double counting of RKKY operators is avoided. This method allows to determine the single-impurity Kondo screening scale TK(y) as a function of the dimensionless RKKY coupling y (determined alone by the conduction electron response function), without invoking magnetic ordering fluctuations. The solution of the RG equation indicates a breakdown of Kondo screening when y exceeds a critical value yc, where the latter can be expressed in a universal way in terms of the bare Kondo temperature TK(y=0). For y<yc the RKKY-corrected single-impurity Kondo screening scale TK(y)/TK(0) is a universal function of y/yc [1]. We compare these predictions with recent experiments on heavy fermion [1] and two-impurity [2] systems.
[1] M. Klein et al., PRL 101, 266404 (2008)
J. Bork et al., Nature Physics 7, 901 (2011)

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