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Low energy properties of M-state tunneling systems in metals: New candidates for non-Fermi-liquid systems

G. Zaránd

cond-mat.str-elarXiv:cond-mat/9610027

Abstract

We construct a generalized multiplicative renormalization group transformation to study the low energy dynamics of a heavy particle tunneling among M different positions and interacting with Nf independent conduction electron channels. Using a 1/Nf-expansion we show that this M-level scales towards a fixed point equivalent to the Nf channel SU(M) × SU(Nf) Coqblin-Schrieffer model. Solving numerically the scaling equations we find that a realistic M-level system scales close to this fixed point (FP) and its Kondo temperature is in the experimentally observable range 1-10 K.

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