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Theory of One-Channel vs. Multi-Channel Kondo Effects for Ce$^{3+}$ Impurities

Tae-Suk Kim·D. L. Cox
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Abstract

We introduce a model for Ce$^{3+}$ impurities in cubic metals which exhibits competition between the Fermi-liquid fixed point of the single channel Kondo model and the non-Fermi-liquid fixed point of the two- and three-channel Kondo models. Using the non-crossing approximation and scaling theory, we find: (i) A possible three-channel Kondo effect between the one- and two-channel regimes in parameter space. (ii) The sign of the thermopower is a fixed point diagnostic. (iii) Our results will likely survive the introduction of additional $f^2$ and conduction states. We apply this model to interpret the non-Fermi liquid alloy La$_{1-x}$Ce$_x$Cu$_{2.2}$Si$_2$.

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Tae-Suk Kim, D. L. Cox. 1995-08-07. Theory of One-Channel vs. Multi-Channel Kondo Effects for Ce$^{3+}$ Impurities. https://doi.org/10.1103/physrevlett.75.1622

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