Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1999-02-11
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages, 3 figures, REVTeX, to appear in Phys. Rev. Lett
Scientific paper
10.1103/PhysRevLett.82.2575
We investigate a two-channel Anderson impurity model with a $5f^1$ magnetic and a $5f^2$ quadrupolar ground doublet, and a $5f^2$ excited triplet. Using the numerical renormalization group method, we find a crossover to a non-Fermi liquid state below a temperature $T^*$ varying as the $5f^2$ triplet-doublet splitting to the 7/2 power. To within numerical accuracy, the non-linear magnetic susceptibility and the $5f^1$ contribution to the linear susceptibility are given by universal one-parameter scaling functions. These results may explain UBe$_{13}$ as mixed valent with a small crossover scale $T^*$.
Cox Daniel L.
Koga Mikito
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