Overscreened Single Channel Kondo Problem

Abstract

We consider the single channel Kondo problem with the Kondo coupling between a spin $S$ impurity and conduction electrons with spin $j$. These problems arise as multicritical points in the parameter spaces of two- and higher-level tunneling systems, and some impurity models of heavy fermion compounds. In contrast to the previous Bethe-anstaz conjectures, it turns out that the dynamics of the spin sector is the same as that of a spin $S$ impurity coupled to $k(j)$ channels of spin $1/2$ electrons with $k(j)=2j(j+1)(2j+1)/3$. As a result, for $2S<k(j)$, the system shows non-Fermi liquid behavior with the same exponents for the thermodynamic quantities as those of $k(j)$ channel Kondo problem. However, both the finite-size spectrum and the operator content are different due to the presence of the other sectors and can be obtained by conformal field theory techniques.

4 pages, revtex, no figures. Revised Version

References in corpus (3)

• On the Emery-Kivelson Solution of the two channel Kondo problem
• Toulouse limit for the overscreened four-channel Kondo problem
• Scaling analysis of a model Hamiltonian for Ce${}^{3+}$ impurity in a cubic metal

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