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

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

1994-12-05

arxiv.org/abs/cond-mat/9412024v2

Physics

Condensed Matter

13 pages, Revtex, To appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.75.1622

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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